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Cam curve design method based on k-order harmonic function

A cam curve and harmonic function technology, applied in computer-aided design, design optimization/simulation, calculation, etc., can solve problems such as mechanism fluctuations, unsuitable for high-speed occasions, etc., to solve shocks, improve mechanism operating efficiency, and reduce fluctuations Effect

Active Publication Date: 2018-10-09
JIANGNAN UNIV
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Problems solved by technology

[0006] The purpose of the present invention is to solve the problem that existing harmonic cam curves are not suitable for high-speed occasions due to part of the characteristic parameter curves approaching infinity at the end points, resulting in mechanism fluctuations, and a method for designing cam curves based on k-order harmonic functions is provided

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  • Cam curve design method based on k-order harmonic function
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  • Cam curve design method based on k-order harmonic function

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specific Embodiment approach 1

[0046] Specific implementation mode one: the following combination Figure 1 to Figure 23 Describe this embodiment, the cam curve design method based on the k-order harmonic function described in this embodiment, it comprises the following steps:

[0047] Step 1: Obtain the key point data determined by the cam to realize the function;

[0048] Step 2: Dimensionalize key point data to obtain dimensionless time T and dimensionless displacement S;

[0049]Step 3: Write the cam curve fitting program, the first cam curve expression based on the k-order harmonic function is:

[0050]

[0051] k is an integer greater than or equal to 2, c 0 is the coefficient, a n is the first amplitude, ω 1 is the first angular frequency, b n is the second amplitude, and t is the time;

[0052] Determine the order of k; add local control points, use the least square method and formula to fit key points and local control points, and obtain c 0 、a n , b n and ω 1 , and then obtain the fir...

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Abstract

The present invention provides a cam curve design method based on the k-order harmonic function, and belongs to the technical field of cam design, in order to solve the problem that the mechanism is fluctuate and cannot be applicable to the high speed occasion due to that some characteristic parameter curves among the existing harmonic cam curves are close to infinity at the end point. The methodcomprises: obtaining key point data determined by the cam for realizing the function; making the key point data to be dimensionless to obtain the dimensionless time T and the dimensionless displacement S; writing a cam curve fitting program to obtain a first cam curve expression based on the k-order harmonic function, and adding the first cam curve expression to a local control point; and after the solution, transforming the first cam curve expression to obtain a second cam curve expression, combining the first two expressions to obtain a final cam curve expression, determining the order of k,adding the final cam curve expression to the local control point, and obtaining an optimized cam curve. The method provided by the present invention is used in the design of cam curves.

Description

technical field [0001] The invention relates to a cam curve design method based on a k-order harmonic function, and belongs to the technical field of cam design. Background technique [0002] The cam mechanism has multiple functions of transmission, guidance and control mechanisms, and is widely used in various automatic machines. When the cam mechanism is used as a transmission mechanism, various complex motion laws can be generated to realize various movements such as non-constant velocity, local constant velocity, temporary stop or stepping; when the cam mechanism and its combination mechanism are used as a guiding mechanism , can make the working mechanism produce complex motion trajectory; when the cam mechanism is used as the control mechanism, it can control the actuator to realize the automatic working cycle according to the predetermined requirements. The realization of these functions is inseparable from a stable and efficient cam mechanism. At present, there are...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/20G06F2119/06
Inventor 吴佳何雪明于嘉川
Owner JIANGNAN UNIV
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