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Cam Curve Design Method Based on k-order Harmonic Function

A cam curve and harmonic function technology, applied in design optimization/simulation, computer-aided design, calculation, etc., can solve the problems of mechanism fluctuation, not suitable for high-speed occasions, etc., to achieve small acceleration fluctuation, improve mechanism operation efficiency, and Smoothing effect

Active Publication Date: 2021-11-16
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
  • Cam Curve Design Method Based on k-order Harmonic Function
  • 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 invention relates to a cam curve design method based on a k-order harmonic function, which belongs to the technical field of cam design. The invention aims to solve the problem that the existing harmonic cam curve is unsuitable for high-speed occasions due to mechanism fluctuations caused by some characteristic parameter curves approaching infinity at the endpoints. It includes: obtaining the key point data determined by the cam to realize the function; dimensionless the key point data to obtain the dimensionless time T and dimensionless displacement S; writing the cam curve fitting program to obtain the k-order harmonic function Add local control points to the first cam curve expression; after solving, deform to obtain the second cam curve expression, then combine the first two expressions to obtain the final cam curve expression, determine the order of k, and add local control points, An optimized cam profile is obtained. The 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...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/17G06F30/20G06F119/02
CPCG06F30/17G06F30/20G06F2119/06
Inventor 吴佳何雪明于嘉川
Owner JIANGNAN UNIV
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