平面四杆机构综合的新型同伦算法研究

doi:10.16578/j.issn.1004.2539.2011.09.015

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平面四杆机构综合的新型同伦算法研究

更新时间：2025-04-03

- 平面四杆机构综合的新型同伦算法研究
- Vol. 35, Issue 9, Pages: 15-17(2011)
- 作者机构：
  
  湖南文理学院继续教育学院2. 中南大学3. 西北农林科技大学
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2011.09.015
  CLC： TH112
- Published：2011
- 稿件说明：
移动端阅览
[1]韩朝晖,韩乐,席宇.平面四杆机构综合的新型同伦算法研究[J].机械传动,2011,35(09):15-17.

[J]. 2011, 35(9): 15-17.
[1]韩朝晖,韩乐,席宇.平面四杆机构综合的新型同伦算法研究[J].机械传动,2011,35(09):15-17. DOI： 10.16578/j.issn.1004.2539.2011.09.015.

[J]. 2011, 35(9): 15-17. DOI： 10.16578/j.issn.1004.2539.2011.09.015.

摘要

机构学问题的数学模型常可化为多元非线性方程组

一般求解多元非线性方程组需要初始值

而初始值的选择是相当困难的

同伦方法不需初始值就能求出全部解

为求解决这一问题提供了可行的方法

但需要编写专用的程序。通过构造新型同伦函数并结合Maple高级程序设计语言的通用工具箱

提出了同伦算法的原理与实现方法。运用该算法编写了Maple程序对平面四杆机构综合问题进行了研究

求出了全部解

为实际机构的设计提供了多种选择方案

为同伦方法提供了简便的实现方法。

Abstract

The mathematical model of mechanism problems can be translated a multi-variables non-linear equations

and the initial value is needed for solving the equations

it is a difficult problem to give the initial value for the no-linear equations.The homology continuation algorithm has resolved this difficult problem without given initial value and can find all solution

but a special programming is compiled at the same time.A numerical solution of new general homology function and homology continuation algorithm is put forward and combining with Maple10.0 toolbox.The study for solving the problem of planar four-linkage is carried out by using this method

and all solutions are obtained.A simple realization method for homology continuation method and more selection scheme for mechanism design is provided.

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