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过约束机构的研究涉及到非线性代数方程组的高维解问题,现有的数值法难以确定方程组是否存在高维解,提出超平面同伦法,并基于该方法提出了过约束机构的判定准则.发现了一种平面四回路过约束机构,并运用判定准则对该机构进行验证.通过对该四回路过约束机构的过约束条件分析,构造了一类新的平面过约束机构.
The research of over-constrained mechanism involves the problem of high dimensional solution to nonlinear algebraic equations. It is difficult to determine the existence of high-dimensional solutions of the equations by the existing numerical methods. The hyperplane homotopy method is proposed. Based on this method, the over-constrained mechanism And a criterion of judgment, a planar four-loop over-constrained mechanism is found and the mechanism is verified by using the judgment criterion.Through the analysis of over-constrained conditions of the four-path over-constrained mechanism, a new kind of planar over-constrained mechanism is constructed.