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An Optimal Design Method of High Speed ​​Cam Based on Fourier Series

A technology of Fourier series and optimal design, which is applied in the field of machinery, can solve problems such as poor performance and follower vibration, and achieve the effect of avoiding vibration and meeting the smoothness requirements of high-speed cams

Active Publication Date: 2020-02-18
HUNAN UNIV
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  • Application Information

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Problems solved by technology

[0003] At present, the design methods such as harmonic analysis and harmonic synthesis are used to analyze the high-speed cam mechanism, which greatly improves the dynamic performance of the high-speed cam mechanism, but it is not good for solving the vibration problem of the follower under the high-speed state.

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  • An Optimal Design Method of High Speed ​​Cam Based on Fourier Series
  • An Optimal Design Method of High Speed ​​Cam Based on Fourier Series
  • An Optimal Design Method of High Speed ​​Cam Based on Fourier Series

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Embodiment Construction

[0042] The technical solutions of the present invention will be described in detail below through specific embodiments and in conjunction with the accompanying drawings.

[0043] The object of the present invention is achieved through the following technical solutions:

[0044] (1) First, according to the design requirements, the maximum deviation of the given allowable displacement, velocity and acceleration is δ S’ ,δ V’ and δ A’ ;

[0045] (2) Determine the Fourier cam motion function (that is, use the Fourier series to expand the motion function of the cam), and use the finite item Fourier series to represent the actual output motion equation of the cam mechanism;

[0046] Assuming that there are m segments in a motion cycle that have strict requirements, use Indicates the i-th ideal motion output function with strict requirements, i=1,2,3,...,m. use and Indicates the start angle and end angle of the i-th area segment. For a general cam mechanism, when hour,...

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Abstract

The invention provides a high-speed cam optimization design method based on Fourier series. According to the method, Fourier series finite terms are used for approximating a cam mechanism transfer function motion laws so as to avoid resonance caused by motion of a cam mechanism, the Gaussian difference of two squares minimum method is used for determining Fourier series motion laws, and the problem that friction, abrasion, fatigue factures, large noise and the like are likely to be caused when a traditional cam is operated at high speed is solved; the phenomena that dynamic response at high speed is poor and a driven member is vibrated violently are avoided, and the method is of important significance in solving the dynamics problem of a high-speed cam.

Description

technical field [0001] The invention belongs to the mechanical field, in particular to a high-speed cam optimization design method based on Fourier series. Background technique [0002] Cam mechanism has various functions of transmission, guidance and control mechanism, and is widely used in automatic machinery. By using the cam mechanism and the combination of the cam mechanism and other types of mechanisms, all motion laws can be accurately realized on the basis of arbitrary design of the shape of the cam member. [0003] At present, the design methods such as harmonic analysis and harmonic synthesis are used to analyze the high-speed cam mechanism, which greatly improves the dynamic performance of the high-speed cam mechanism, but it is not good for solving the vibration problem of the follower under the high-speed state. Contents of the invention [0004] In order to solve the above problems, the present invention provides a high-speed cam optimal design method based ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/17
CPCG06F30/17G06F30/20
Inventor 周长江胡波汪明辉潘丽君谢小平
Owner HUNAN UNIV