基于同伦摄动的同伦算法及其在机构学中的应用

An Homology Continuation Algorithm Based on Homology Perturbation and its Application to Mechanism Synthesis

根据同伦摄动的思想 ,改进预估校正计算公式 ,从而提出了同伦摄动的同伦算法 ,该法有效地避免了现有路径跟踪方程在求解亏欠方程组时易出现的漏解现象 ,并有效地提高了计算效率 ,从而保证了同伦算法的有效应用。并将该算法应用于求解机构学问题的亏欠方程组 。

Based on the idea of homology perturbation, an improved homology continuation algorithm was proposed by improved calculating formula of pre-guesstimate emendation. The improvement can avoid the phenomenon of resolution omission of present homology continuation method in solving deficient polynomial system and its calculating efficiency is higher. The homology continuation method with the improved algorithm for path-tracking has been used in solving the mechanism problems successfully.