48 results about "Solution of equations" patented technology

The invention discloses an existence inspection method for a solution of an equation set in the automated design of an integrated circuit. The method comprises the following steps that: according to the connection relationship of a device, constructing a container; according to the container, judging whether the device forms a special loop to cause an equation set to have no solutions; and according to the device, judging whether optimization forms the special loop to cause the equation set to have no solutions. By use of the method disclosed by the invention, in the automated product of the integrated circuit, the reasonability of circuit design is inspected, especially, the existence of the solution of the equation set due to the special loop is inspected so as to reduce an ergodic process and improve circuit design efficiency.

The present invention relates to a solution-finding method, which finds an approximate solution of an equation having difficulty in obtaining an actual solution and a complicated equation in numerical analysis. The method obtains an approximate solution of an equation having a solution in a predetermined interval. Initial values are calculated based on upper and lower limits of the interval. The initial values are applied to a solution-finding equation, including a sign function and the upper and lower limits, and the solution-finding equation is arranged so that a definite integral formula for the sign function is included in the equation. The definite integral formula in the solution-finding equation is calculated using numerical integration, and results of the definite integral formula are applied to the solution-finding equation, thus obtaining an approximate solution. This performance is iterated until the approximate solution satisfies an allowable error.

The invention provides a variable mass simulation device for motion operation and a simulation method based on the device, belonging to the technical field of mass simulation, the device comprising asupport system frame, a traction system, a simulation particle and an operation end. At work, a trainer can feel the corresponding load at the operate end by inputting the simulation quality through the upper computer. The basic method is to solve the cable tension based on the particle motion state of the manipulator by using the space sink force system and the generalized inverse solution of equations, and to control each cable element by force closed-loop control. The support system frame is constructed from profiles. The variable mass point to be simulated in the device is pulled by four rope units at the same point. Each rope unit is connected to the winch on the motor through the tension sensor and the acceleration sensor through the passing wheel fixed on the frame. The invention can be used for simulating a variable mass of a particle in a space, so as to realize some simulation training which ignores the volume but requires the working condition of the mass change.

The invention provides a surface intersection method, which comprises the following steps of: dividing surfaces into small crossed areas; determining a starting point; constructing a surface intersection equation in two unknowns; solving the surface intersection equation in two unknowns; and constructing lines of intersection according to roots of the equation in two unknowns. Therefore, the method effectively improves the iteration efficiency, the tracking step length and direction determination precision and the accuracy at the nearly overlapping of the surfaces in the process of performing the surface intersection by utilizing a tracking method.

A system for evaluating the convergence to a solution for a matrix equation comprises at least one reconfigurable computing device such as a field programmable gate array (FPGA), an update storage element, a conversion element, a summation unit, and a comparator. The FPGA includes a plurality of configurable logic elements and a plurality of configurable storage elements, which are utilized to form the update storage element, the conversion element, the summation unit, and the comparator. The update storage element is configured to store a plurality of updates. The conversion element determines the absolute value of the updates. The summation unit accumulates the absolute values of the updates to produce a total sum, which is compared to a convergence factor by the comparator. Convergence is signaled when the total sum is less than the convergence factor.

The invention discloses a method for analyzing the aerodynamic nonlinear lower-angle motion characteristics of a double-rotating projectile, which includes the following steps: Step 1: establishing a double-rotating projectile with respect to the angle of attack α, the sideslip angle β, and the pitch angular velocity ω z , Yaw angular velocity ω y The nonlinear angular motion equation; Step 2: Determine the nonlinear complex angle of attack equation of the double-rotating bomb according to the nonlinear angular motion equation established in step 1; Step 3: Transform the stability analysis of the solution of the nonlinear complex angle of attack equation into Analysis of its corresponding homogeneous equation solution; Step 4: Determine the amplitude plane equation of the double-rotating bomb under the action of the cubic static moment; Step 5: Determine the necessity for the double-rotating bomb to produce stable conical motion under the action of the cubic static moment Conditions; Starting from the aerodynamic nonlinearity, the necessary conditions for the stable conical oscillation of the double-rotating bomb under the action of the cubic static moment are obtained, thus pointing out that the angle of attack produced by it under the action of the nonlinear static moment does not attenuate, and even Causes of flight instability.

The invention discloses a calibration device and a method for carrying out calibration on a transfer function in a monitoring device. The method comprises the steps: setting m parameters of the transfer function as parameter values of first iteration; carrying out at least one iterative process; in a jth iterative process, if a calculated error evaluation value s is smaller than an evaluation target value according to AD1-ADn, Rxp1-Rxpn, and a parameter value of jth iteration, confirming the parameter value of the jth iteration as a calibration result; if not, adjusting the parameter value of the jth iteration according to a shrinkage algorithm, obtaining a parameter value of j+1th iteration, and continuing the next iterative process, wherein the Rxp1-Rxpn are n index values of a monitored object, and the AD1-ADn are n sampling values. Due to the fact that the shrinkage algorithm is adopted to carry out iterative calculation on the parameters of the transfer function, the process of missing solution of equations is avoided, the method can be applied to situations of a non-linear transfer function and a non-least-square error evaluation function, and accordingly the calibration method has wide application situations.

The invention discloses an algebraic calculator based on identical deformation. The algebraic calculator is electronic equipment capable of assisting in algebraic operation. According to the equipment, elements in an algebraic expression are selected and operated according to a hierarchical permeation method based on touch screen equipment or computers so as to perform identical deformation of the algebraic expression, wherein the hierarchy is to perform hierarchical division on the algebraic expression by an application program according to the priority of arithmetic and define the element selection and operation in the same hierarchy; permeation refers to switch among the levels and is performed by a user through a touch screen or a mouse, so that the element selection and operation can spread all over the whole algebraic expression. The equipment can help teachers, students and engineering technicians to perform paperless algebraic operations such as algebraic expression reduction, factorization, and solution of equations (equation sets). In addition, the tool has excellent teaching and demonstration functions.

The invention relates to a method for solving one-dimensional wave equations under different working conditions based on a neural network. The invention belongs to the field of earthquake engineering. One-dimensional wave equation solution method: 1. Select the 1-dimensional wave equation as the equation to be solved; 2. Determine the solution domain of input variables and the number of residual points; 3. Establish a fully connected layer neural network including 6 hidden layers; 4. Design a specific loss function; 5. Pre-training and refined training of the neural network. The present invention takes the wave velocity as an input, and proposes a neural network-based one-dimensional wave equation solution method, so that the model can learn the influence of different working conditions on the equation solution. On the premise of maintaining high solution accuracy, the general equation and stress condition The addition of also increases the interpretability of the solution method.

The invention discloses a trajectory prediction method for a multi-body separation test model in a wind tunnel. The prediction method uses the multi-body separation wind tunnel grid force measurement test data to establish the Kriging mathematical model of the six-component aerodynamic coefficient under different relative positions and attitudes of the multi-body separation test model, and combines the rigid body six-degree-of-freedom motion equation to solve the motion trajectory. Divide the separation trajectory into multiple moments according to time, predict the aerodynamic force at the initial moment according to the mathematical model, solve the model attitude at the next moment according to the model pose at the initial moment combined with the equation of motion, and continue to predict the aerodynamic force at the next moment according to the model attitude The aerodynamic forces in the model attitude. The loop is executed to obtain the separation trajectory of the multi-body separation test model. The prediction method is simple and efficient, and is not limited by the CTS mechanism. It solves the trajectory prediction problem of the multi-body model of the CTS mechanism equipment, avoids the problems and risks of the CTS mechanism travel, time, collision, etc., and reduces the test cost.