机构综合的实数同伦方法研究

The mathematical model of kinematic problems can be translated a multi-variables non-linear equations,and,it is a difficult problem to give the initial value for the no-linear equation. The homology continuation algorthm has resolved this difficult problem without given initial value and can find al...

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Main Author: 胡浩
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2004-01-01
Series:Jixie chuandong
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2004.02.006
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author 胡浩
author_facet 胡浩
author_sort 胡浩
collection DOAJ
description The mathematical model of kinematic problems can be translated a multi-variables non-linear equations,and,it is a difficult problem to give the initial value for the no-linear equation. The homology continuation algorthm has resolved this difficult problem without given initial value and can find all solution,but a special programming is compiled at the same time and the quantity is very much.After builded initial equations,initial solutions are obtained.When initial solutions are used as initial value,all solutions or most of solutions are obtained with any finding method of non-linear equations.Now,this discovery couldn’t proved in theory,but it can finding all solutions of kinematic equations.The programming is compiled with Matlab6.1 & Maple programming language based on the discovery.The problem of function generation for planar four-link mechanism is solved by this method,and thus all solutions for this problem with maximum precision positions are obtained.This provide a simple realization method for homology method.
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publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-2b1d7d0eee8a41d9ac51043616d8dfc32025-08-20T01:53:22ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392004-01-011618+6788672053机构综合的实数同伦方法研究胡浩The mathematical model of kinematic problems can be translated a multi-variables non-linear equations,and,it is a difficult problem to give the initial value for the no-linear equation. The homology continuation algorthm has resolved this difficult problem without given initial value and can find all solution,but a special programming is compiled at the same time and the quantity is very much.After builded initial equations,initial solutions are obtained.When initial solutions are used as initial value,all solutions or most of solutions are obtained with any finding method of non-linear equations.Now,this discovery couldn’t proved in theory,but it can finding all solutions of kinematic equations.The programming is compiled with Matlab6.1 & Maple programming language based on the discovery.The problem of function generation for planar four-link mechanism is solved by this method,and thus all solutions for this problem with maximum precision positions are obtained.This provide a simple realization method for homology method.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2004.02.006
spellingShingle 胡浩
机构综合的实数同伦方法研究
Jixie chuandong
title 机构综合的实数同伦方法研究
title_full 机构综合的实数同伦方法研究
title_fullStr 机构综合的实数同伦方法研究
title_full_unstemmed 机构综合的实数同伦方法研究
title_short 机构综合的实数同伦方法研究
title_sort 机构综合的实数同伦方法研究
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2004.02.006
work_keys_str_mv AT húhào jīgòuzōnghédeshíshùtónglúnfāngfǎyánjiū