90 results about "Cosine curve" patented technology

The invention relates to an optical three-dimensional measuring method based on a phase coding technology, belonging to the technical field of three-dimensional measurement. The method comprises the following steps of: (1) producing a grating coding stripe image by a computer; (2) projecting the grating coding stripe image by using digital projection equipment; and (3) acquiring the grating coding stripe image and performing coding solution and three-dimensional measurement by adopting a phase-shift algorithm. The method is characterized in that: the number of pixels in each grating period of the grating coding stripe image equals to the step number of the adopted phase-shift algorithm; the gray scale of the pixels in each grating period of the grating coding stripe image meets sine or cosine curve distribution, and the gray-scale value of the pixels are extreme points of the corresponding sine or cosine function. Compared with the traditional sine phase-shift coding method, the method has strong interference resistance to the nonlinear influence of gamma rays of the digital projection equipment, the coding has higher stability, reliability and correctness, and the method is important in the aspect of accurate measurement of an optical three-dimensional outline on the external surface of an object.

The invention discloses a graphene based terahertz broadband adjustable wave absorption device, and relates to a wave absorption device. The graphene based terahertz broadband adjustable wave absorption device is of a three-layer structure which comprises a periodic mesh-shaped graphene layer, a dielectric layer and a metal layer from top to bottom, and is characterized in that the horizontal period of a unit structure of the periodic mesh-shaped graphene layer is Px, the longitudinal period of the unit structure is Py, the graphene width has a characteristic of continuous gradual change modulation, the edge of the periodic mesh-shaped graphene layer has a sine curve, a cosine curve, a parabolic curve, an elliptic curve or other curves capable of realizing graphene width gradual change modulation, the maximum width Wmax is consistent with the horizontal period Px, and the minimum width Wmin ranges between 0 and the horizontal period Px; the dielectric layer is made of an insulator such as silicon dioxide, and the thickness td of the dielectric layer is associated with the wave absorption frequency band; and the metal layer is made of a good conductor such as gold or silver, and the thickness tm of the metal layer is greater than the skin depth of incident waves. The graphene based terahertz broadband adjustable wave absorption device can realize broadband strong absorption for terahertz waves, the absorption rate of incident broadband terahertz waves is adjusted on a large scale, and the structure is simple.

The invention discloses a motor rotor position sensor and a method which precisely measures the rotor position by the sensor; the rotor position sensor comprises an objective disc which is arranged on the objective rotor, provided with a sine / cosine curved shape and made of conductive, an inductive element which is fixed in the shell of a motor, corresponding to the objective disc and provided with a plane winding, and an ASIC circuit which is connected with the induction circuit; the method completes the operation of precisely measuring the rotor position by using a DSP to process the signal induced by the rotor position sensor; the sensor meets the automobile standard, is not affected by the magnetic field of the motor stator winding, and has the advantages of high performance and low cost. The method used for precisely measuring the position and rotation speed of the rotor of the motor can be uniformly completed by the DSP device; therefore, the sensor and the method can precisely measure the position and speed of the motor rotor; furthermore, the device has simple structure and low cost.

An apparatus 11 for estimating internal biological time of a biological individual on the basis of quantity data of a gene product as measured in a specimen sampled from the individual. The apparatus includes circadian oscillatory gene selection means for selecting circadian oscillatory genes whose time-course change in gene product quantity data as measured in standard specimens approximates a cosine curve having a predetermined period; circadian expression curve selection means for selecting, from among a plurality of cosine curves having different phases and sharing a specific period, a circadian expression curve which is similar to the pattern of time-course change in the expression product quantity of each of the above-selected circadian oscillatory genes; and registration means for registering information which identifies the selected circadian expression curve.

The invention belongs to the field of applied optics technique, which relates to a radial cosine phase position type axial direction multi-focus regulation system. The whole system is composed of coherent light source emission component, beam diameter regulator, radial cosine phase position wavefront regulator and optics focus component. The coherent light source emission component outgoing beam is regulated into needed diameter by beam diameter regulator, the optics focus component is focused into focus region. The radial cosine phase position wavefront regulator regulates the part before the incoming wave, which leads the wavefront phase transform into the cosine curve in the radial direction, after the optical focus component focuses, the focuses transform into multi-focus distribution on optical axis, and interval and number of multi-focus can be regulated by cosine function parameter of radial cosine phase position wavefront regulator. The system has advantages of convenient multi-focus axial regulation, high light energy utilization rate, simple system and so on.

The invention provides a completion method of pavement temperature response missing values and aims to solve the problems that traditional missing value completion methods are low in reliability, inconvenient to apply and the like. Under the conditions that pavement temperature monitoring is interrupted due to failures and temperature response has missing values, the missing values are completed. According to the method, the natural law that the atmosphere temperature fluctuates periodically and seasonally is used, an addition model adopting sine and cosine curves is adopted to simulate change features of pavement temperature response at the same moment every day, and corresponding mathematical models are established; on the basis of the randomness characteristic of pavement structure temperature response, a random number sequence related to the burying depth of a temperature sensor is put forward to correct the models, and the real situation of temperature response monitoring data can be better simulated. With the adoption of the method, the pavement temperature response missing values can be scientifically and effectively completed, and the continuity, stability and reliability of pavement temperature monitoring data can be well guaranteed.

The present invention belongs to the field of mechanical transmission technology, and is especially one kind of cosine gear and one kind of conjugate cosine gear transmission mechanism. The present invention solves the technological problem for providing one kind of cosine gear transmission mechanism with improved gear transmission performance and raised gear bearing capacity. Technologically, the present invention features that the cosine gear has cosine tooth profile curve, its conjugate gear has cosine tooth profile curve with amplitude and period determined y the required transmission ratio, two gears have near linear contact path, and the tooth profile curve of the cosine gear has the zero line of cosine curve as the pitch line, the period of cosine curve as the tooth pitch and amplitude of cosine curve as the addendum. The cosine gear transmission mechanism has great pressure angle, small slide coefficient, high contacting and bending strength and other advantages.

The invention provides a speed reducer free from rigid impact on a vehicle. The speed reduceris formed by combining a plurality of speed-reducing blocks. The shape of a cross section of each speed-reducing block in the width and height directions is similar to trapezoid; and the top of the cross section is a straight line and two sides of the cross section are cosine curves. The vehicle cannot be subject to rigid impact and cannot generate the bumping phenomenon during passing the speed reducer. Low-speed vehicles can smoothly pass the speed reducer with little shock and bump on the vehicle, a driver, passengers and goods; and vehicles which do not slow down is suffered from flexible impact during passing the speed reducer, wherein the vehicle speed is higher and the impact force is larger. The invention has the advantages of overcoming the rigid impact of the traditional speed reducer on the vehicles and the speed reducer, prolonging the service life of the vehicles and the speed reducer, not only ensuring the traffic safety of roads, but also improving the driving comfort of the low-speed vehicles and embodying the definite rewards and punishment on different vehicles. The speed reducer has simple manufacture and installation and can be used as a generation product of the current road speed reducer.

The invention provides a testing system for insertion phase delay of a frequency selection material and a testing method thereof. The system comprises a vector network analyzer, a 30dB attenuator, a powder divider, a receiver, two pairs of horn antennas and a data processing module; one output port of the vector network analyzer is connected with the transmitting horn antenna, the other output port of the vector network analyzer is connected with one input end of the power divider through the 30 dB attenuator, the other input end of the power divider is connected with the receiving antenna, the output end of the power divider is connected with the receiver, and two ways of signals are combined through the power divider and then output to the receiver; the data processing module is used for forming power testing data collected by the receiver into cosine curves and comparing the cosine curves before and after the frequency selection material is inserted to obtain insertion phase delay of the frequency selection materials at a test frequency point. According to the method, a cosine fitting method of the cosine curves is presented to achieve phase measuring with the high precision and stability on the basis of a testing system model by combining a data processing technology.

The invention relates to a cosine shock wave swing movable teeth transmission device which is characterized in that an input shaft shock wave generator is installed coaxially with an output shaft rack and a central internal gear; the central inner gear is fixedly connected with a machine body base; movable teeth pins are arranged on the output shaft rack; swing movable teeth are sleeved on the movable teeth pins and simultaneously in contact with the tooth profile of the input shaft shock wave generator and the tooth profile of the central internal gear; the tooth profile of the input shaft shock wave generator is a cosine tooth profile in which a cosine curve or an equidistant curve of the cosine curve serves as a profile contour curve and a cosine teeth profile conjugate curve, or the equidistant curve of the cosine curve serves as the profile contour curve. The cosine shock wave swing movable teeth transmission device fundamentally solves a wearing problem of a movable teeth engagement pair, so that the processing technology difficulty is greatly lowered, the size and the accuracy are well guaranteed, the stability in transmission is also guaranteed by the smooth curvature characteristic of a cosine shock wave, and the cosine shock wave swing movable teeth become transmission elements with an excellent transmission performance due to the characteristics.

The invention relates to a method for testing a dynamic lock area of a prismatic laser gyro. The method comprises the following steps: 1) motivating a laser gyro to emit P polarized lights; 2) starting a rotary table to rotate according to a cosine curve equation; 3) aligning a photoelectric receiver at the P polarized lights so as to receive light pulse signals, and then converting the light pulse signals into electrical signals; 4) amplifying the electrical signals; 5) rectifying and filtering the amplified electrical signals, then converting the electrical signals into square signals, and inputting the square signals into a microcontroller; 6) reading the number of pulse in the square signals in real time and acquiring the angular velocity of rotation of the rotary table by the microcontroller, and inputting the obtained related information into an image display device; 7) displaying a relationship chart relating to the number of pulse, the angular velocity of rotation and the time in real time by the image display device; and 8) reading the angular velocity (namely, the value of the dynamic lock area of the detected prismatic laser gyro) of rotation of the rotary table corresponding to the time when the pulse signal in the relationship chart occurs. The method provided by the invention has the advantages of quickly and accurately realizing the detection on the lock areas, rapidly increasing the production efficiency, and facilitating the production application and the quality judgment of a laser resonant cavity.

The invention relates to the technical field of electrics, in particular to a high-insulativity, high-precision and environment-friendly capacitive divider. The embodiment of the invention provides a plurality of self-healing type high-voltage capacitors with inner series structures and an outer shell, wherein the self-healing type high-voltage capacitors with the inner series structures are arranged in the outer shell, and the outer shell is filled with nitrogen gas; the series approaches among the self-healing type high-voltage capacitors with the inner series structures are arrayed in the outer shell in a cosine curve law. The embodiment of the invention can reduce the local discharge among capacitors and can reduce the size of the high-voltage capacitive divider.

The invention is applied to the field of movement trajectory technology improvement, and provides a cosine interpolation method of an industrial robot under spatial linear movement. The method comprises the steps: 1, a transition scheme is determined according to the target point position and the robot setting parameter requirements, and segmentation processing is conducted on an overall trajectory; 2, times of an accelerating segment, a uniform velocity segment and a decelerating segment are preliminarily planned by combining a cosine curve with starting velocities, terminal velocities, accelerating velocities and decelerating velocities which are set for various segments obtained by segmenting the overall trajectory; and 3, the interpolation point number is calculated by means of the various segment times planned in the step 2, and the time of the uniform velocity segment is recalculated according to a corresponding velocity and journey equation. The various trajectory segments are interpolated by adopting the cosine curve interpolation method, not only does the accelerating velocities distributed in various intervals become smooth, but also the accelerating velocities become smooth.

The invention discloses an externally meshed gear pair which comprises two external gears. In polar coordinates, a single figure of the external gear I is sequentially composed of a cosine base compound curve which is composed of a line segment I, a cosine curve I, a line segment II and a cosine curve II. The line segment I, the cosine curve I, the line segment II and the cosine curve II meet first order continuity. A single conjugate figure of the external gear II corresponding to the single figure of the external gear I is obtained through a meshing principle and a conjugate gear pair is formed. A complete conjugate gear pair is obtained as the single figures of the external gear I and the external gear II respectively rotate around the center of the conjugate gear pair and evenly distributed according to the number of teeth of the conjugate gear pair. An asymmetric gear pump figure is obtained by adjusting symmetrical coefficients of the gear figure so that long sides in two gear sides of the gear are suitable for transmission, while short sides are suitable for seal. Separation of functions of transmission and seal are benefited and transmission and seal performance is enhanced. Fairness between the gear pairs can reach first order continuity and a mathematical model is set up for multivariate optimization of the gear pair.

The invention discloses a debugging method of a six-degree-of-freedom displacement change compensation platform. Before the assembling process of the six-degree-of-freedom displacement change compensation platform, the open loop debugging is carried out on hydraulic cylinders. Whether the actual stroke of each hydraulic cylinder is the same as a preset stroke or not is detected through an electronic ruler. Six hydraulic cylinders are subjected to joint debugging, and the PID closed-loop adjustment and correction is carried out on each hydraulic cylinder until the six hydraulic cylinders can achieve synchronously linear movements and mutually sine and cosine curve movements. A posture sensor is randomly swung, wherein the following motion is debugged firstly, and then the compensation motion is debugged. The factory performance of the six-degree-of-freedom displacement change compensation platform is optimized, and the field debugging difficulty thereof is reduced. Meanwhile, the fielddebugging period of the platform is shortened.

The invention discloses a cosine curve mechanical seal end surface structure. The structure comprises a movable ring and a static ring of a mechanical seal; the outer ends of the sealing end surfaces of the movable ring and the static ring serve as high-pressure sides, namely upstream, and the inner ends of the sealing end surfaces serve as low-pressure sides, namely downstream; smooth and continuous annular sealing dams are arranged on the low-pressure sides of the sealing end surfaces; multiple periodically distributed curve grooves are formed in the high-pressure sides of the sealing end surfaces; openings at one ends of the curve grooves extend to the upstream of the sealing end surfaces, and the other ends of the curve grooves are positioned at the upstream of the annular dams; micro grooves are symmetrically formed in two sides of each curve groove; and the sealing end surfaces are provided with sealing weirs in non-grooving areas between the curve grooves at the upstream of the annular dams. The cosine curve mechanical seal end surface structure has the following beneficial effects: the structure is obvious in reflux effect, low in leakage rate, capable of being applied to various mediums, high in solid particle preventing capacity, excellent in static / dynamic pressure effect and capable of frequently starting and rotating in two directions.

A motor having a hyperbolic cosine curve shaped rotor and a matching hyperbolic cosine curve shaped stator.

The invention discloses a plane six-point calibration method of a compass. According to the method, a rotary table actually-measured angle serves as an independent variable, output of a magnetic sensor serves as a dependent variable, and a cosine curve function between the rotary table actually-measured angle and the X axis of the magnetic sensor and a sine curve function between the rotary table actually-measured angle and the Y axis of the magnetic sensor are constructed. In this way, only six unknown parameters exist in a formula, people only need to acquire data of six points at will, and a final azimuth angle can be obtained. The method is high in flexibility, easy to apply and easy to implement.

The invention relates to a plotter, in particular to a curve plotter for trigonometric functions. The curve plotter comprises a bottom plate, a movable plate, a fixed plate and a turntable, and is characterized in that a paper guide groove is arranged on the bottom plate, a track is mounted on the bottom plate, the movable plate capable of moving vertically along the track is arranged on the track, and a pen rack is mounted at the right end of the movable plate; and the fixed plate is mounted on the bottom plate and is positioned above the movable plate, the rotatable turntable is mounted on the fixed plate, five concentric circles are arranged on the upper portion of the turntable and are positioned above the fixed plate, four line slots are formed among the five concentric circles, a small hole is arranged on the turntable, a circular plate is arranged on the lower portion of the turntable and is positioned below the fixed plate, a gear is mounted in the circle center of the turntable, a rack is mounted on the lower portion of the turntable and is meshed with the gear, and a hinge pin on the rack can drive the movable plate to move vertically along with rotation of the turntable. The curve plotter has the advantages that sine curve graphs and cosine curve graphs can be drawn by the curve plotter; curve graphs with different periods can be drawn by the curve plotter, and amplitudes of the curve graphs can be optionally adjusted; and the plotter can be used on a blackboard.

The invention discloses a hybrid reservoir group flood control optimization scheduling scheme generation method based on an energy criterion. The method comprises the following steps: selecting a hybrid reservoir group and a corresponding downstream protection object; performing particle swarm coding; setting constraint conditions of each reservoir in the series-parallel reservoir group; calculating the fitness value of each particle in the first generation particle swarm; carrying out iterative circulation and updating particles by adopting a particle swarm algorithm based on an attenuation cosine curve inertia weight; and calculating the fitness value of each particle in the new-generation particle swarm until an optimization condition is met, and outputting a flood control optimization scheduling scheme of the hybrid reservoir group. According to the method, the particle swarm optimization algorithm based on the attenuation cosine curve inertia weight is adopted, the defect that an existing particle swarm optimization algorithm is prone to falling into local optimum is overcome, the global and local search capacity is enhanced, the reservoir group flood control optimization scheduling scheme is finally obtained, under the condition that downstream safety is guaranteed, the flow called by a flood control reservoir group is greatly reduced, and the flood control risk is greatly reduced.

The invention provides a real-time curve drawing method which comprises the following steps of: reading sampling time and analog quantity real-time values of sampling points; drawing a curvilinear figure by using the sampling time of the sampling points as abscissas and using the analog quantity real-time values of the sampling points as ordinates; comparing the analog quantity real-time values of a current sampling point and a previous sampling point and then drawing a quarter of period of cosine curve on the curvilinear figure by using the point with the small analog quantity real-time value as an origin of coordinates, using the point with the large analog quantity real-time value as a crest or trough point and using four pieces of sampling time as a period; translating the curvilinear figure forward by one period by using one piece of sampling time as the period, judging whether the sampling points on the curvilinear figure reach the boundary of the curvilinear figure, and if the sampling points on the curvilinear figure reach the boundary of the curvilinear figure, deleting the sampling points from a buffer zone; and entering the next circulation. By the method, a smooth, attractive and real real-time analog quantity curve can be drawn; and the method is simple and practical.

The invention discloses a conjugate gear pair based on a common rack, wherein each single tooth profile of the common rack is formed by a cosine-based composite curve composed of a straight line segment I, a cosine curve I, a straight line segment II and a cosine curve II in a rectangular coordinate system, and the straight line segment I, the cosine curve I, and the straight line segment II and the cosine curve II sequentially meet first-order continuous requirements. Each single conjugate tooth profile, corresponding to each single tooth profile of the common rack, of an inner gear or an outer gear is obtained through the meshing principle, and therefore the conjugate gear pair is formed. The whole conjugate gear pair is formed by the single tooth profiles, which are evenly distributed around the center of the inner gear or the outer gear according to the number of teeth of the inner gear or the outer gear, of the inner gear or the outer gear. According to the conjugate gear pair based on the common rack, through the adjustment of the symmetric factor of the tooth profiles, the non-symmetrical gear pair can be obtained, and therefore the long side in the two tooth sides is more suitable for transmission, the short side is more suitable for being used as a seal when the tooth profiles are used as a pump, the separation of a transmission function and a sealing function is benefited, the transmission performance and the sealing performance are enhanced, and a design method of the conjugate gear pair based on the common rack builds a mathematical model for the multivariate optimization of gear pairs.

The invention relates to a cosine shock wave push rod movable teeth transmission device which is characterized in that an input shaft shock wave generator is installed coaxially with an output shaft rack and a central internal gear; the central inner gear is fixedly connected with a machine body base; movable teeth are uniformly distributed in a groove of the output shaft rack and simultaneously in contact with the tooth profile of the input shaft shock wave generator and the tooth profile of the central internal gear; the tooth profile of the input shaft shock wave generator is a cosine tooth profile in which a cosine curve or an equidistant curve of the cosine curve serves as a profile contour curve and a cosine teeth profile conjugate curve, or the equidistant curve of the cosine curve serves as the profile contour curve. A tooth profile curve of the central internal gear is a movable teeth external profile enveloping curve which is formed by that the central internal gear performs a push rod movable teeth movement with the output shaft rack and the movable teeth by taking the input shaft shock wave generator as the shock wave generator. The cosine shock wave profile is used as the profile curve of a shock wave cam, the processing technology difficulty is greatly lowered, the size and the accuracy are well guaranteed. A movable teeth reducer adopting the cosine shock wave profile has the advantages of stable dynamic balance, good curve transition, capability of bearing heavy load and the like.

The invention provides an energy consumption related quasi cosine curve type temperature control method and a device of a rubber internal mixer, and a constant-temperature control method which is adopted in a material mixing process by a traditional rubber internal mixer is changed. Consumed electric energy input into a driving motor of the rubber internal mixer in the material mixing process is measured and is changed into a numerical signal which represents the consumed electric energy so as to be transferred to a temperature control system as a temperature control parameter to participate in temperature control, and additionally, according to a specific material mixing temperature control process of the internal mixer, different mixing cycle and time sequence mathematical model parameter equivalent controllers are set, so that temperature control nodes and time sequences at different moments in the mixing process are determined, an energy consumption related type variable-temperature curve method in the material mixing process of the internal mixer is mastered so as to perform intelligent optimal design on the temperature control device in the material mixing process of the internal mixer, electric energy and cooling water are saved, the unit energy consumption for mixing materials is reduced, and the purposes of saving energy and reducing consumption in timely temperature adjustment are achieved.

The invention relates to a device and method for realizing swing of a rotating shaft of a turn table. A stepping motor is connected with the rotating shaft via a transmission device, a controller generates pulse signals, a driving unit drives the stepping motor to rotate, and the stepping motor drives the rotating shaft to realize sine swing via the transmission device. A double-axis arc interpolation method is used, one is a practical axis, the other is a virtual axis, and the practical axis generates sinusoidal signals to realize start, swing and stop of the rotating shaft. According to the device and method, the swing precision of the rotating shaft is high, the frequency and amplitude are easy to adjust, half-range co-frequency cosine curve and sine curve are connected during start and stop, so that start and stop of the rotating shaft are smooth; and a servo period is used as the sampling interval, sampling points are more, and the distortion degree of the waveform is greatly reduced.

The invention relates to an optical three-dimensional measuring method based on a phase coding technology, belonging to the technical field of three-dimensional measurement. The method comprises the following steps of: (1) producing a grating coding stripe image by a computer; (2) projecting the grating coding stripe image by using digital projection equipment; and (3) acquiring the grating coding stripe image and performing coding solution and three-dimensional measurement by adopting a phase-shift algorithm. The method is characterized in that: the number of pixels in each grating period of the grating coding stripe image generated in step (1) is equal to the step number of the adopted phase-shift algorithm; and the gray scale of the pixels in each grating period of the grating coding stripe image is needed to meet sine or cosine curve distribution, and the gray-scale value of the pixels are extreme points of the corresponding sine or cosine function. Compared with the traditional sine phase-shift coding method, the method has strong interference resistance to the nonlinear influence of gamma rays of the digital projection equipment, the coding has higher stability, reliability and correctness, and the method is important in the aspect of accurate measurement of an optical three-dimensional outline on the external surface of an object.

The invention aims to provide a valve cam provided with a cosine-constant speed type buffer section and used for an internal combustion machine and a lift curve determination method of the valve cam.The cosine-constant speed type buffer section is composed of two segments, namely the acceleration curve of the first segment is a cosine curve, and the acceleration curve of the second segment is a constant-speed curve; the expression of the lift curve of the valve cam used for the internal combustion machine is that when 0<=alpha<=alpha1, hC(alpha)=C1(1-cosomega alpha); when alpha1<=alpha<=alpha0, hC(alpha)=E0+E1alpha; and the undetermined constants C1, E0 and E1 of the cosine-constant speed type buffer section are worked out according to the boundary conditions and the continuity conditionat the position where alpha=alpha1, namely C1=h0 / [1+cos(omegaG alpha0)+omega alpha0(1-G)sin(omegaG alpha0)], E1=C1.omega.sin(omegaG alpha0), and E0=h0 / alpha0 E1. According to the valve cam provided with the cosine-constant speed type buffer section and used for the internal combustion machine and the lift curve determination method of the valve cam, the third derivative of the tail end of the buffer section can be kept zero, the discontinuity of the segments of the buffer section can be avoided, and thus impact, vibration and noise, caused by the cam profile, of a valve mechanism can be reduced easily.

The invention provides a manual sampling device. The manual sampling device comprises a sampling tube and a spiral drill, wherein the lower end, in an extended surface of the sampling tube, of the sampling tube is a part of a sine curve or a cosine curve; the spiral drill is nested in the sampling tube, the spiral drill comprises a rotating rod and a spiral blade, the spiral blade is fixed on the outer peripheral surface of the rotating rod, the outer diameter of the spiral blade is less than the inner diameter of the sampling tube, the spiral blade can be driven to rotate around the axial line of the sampling tube by the rotating rod, and the spiral blade can move along with the rotating rod along the axial line direction of the sampling tube. By setting the lower end of the sampling tube into a sine curve or cosine curve shape, a situation that large materials are squeezed out by the sampling tube can be avoided in the process of sampling, so that complete samples can be collected, thereby achieving the purpose of increasing the sampling accuracy.

The invention discloses an internal engaged tooth profile pair. A single tooth profile of an internal gear comprises a cosine-based composite curve of a straight line section I, a cosine curve I, a straight line section II and a cosine curve II which meet the first-order continuation in a polar coordinate; a single conjugated tooth profile, which corresponds to the single tooth profile of the internal gear, of an external gear is obtained through a engagement theory, so as to form a conjugated tooth profile pair; and a complete conjugated tooth profile pair is obtained by uniformly distributing the single tooth profiles of the internal gear and the external gear respectively around the centers of the internal gear and the external gear according to the gear numbers. The complete conjugated tooth profile pair is obtained by firstly sequentially determining the straight line section I, the cosine curve I, the straight line section II and the cosine curve II which meet the first-order continuation and form the single tooth profile of the internal gear, subsequently converting into a rectangular coordinate system, obtaining the single tooth profile corresponding to the external gear conjugated with the internal gear through the single tooth profile according to the engagement theory so as to form the single conjugated tooth profile pair, and finally uniformly distributing the single tooth profiles of the internal gear and the external gear respectively around the centers of the internal gear and the external gear according to the gear numbers.