Improved Approximation Approach for Folding Analyses of Structures with Kinematic Indeterminacy
Improved Approximation Approach for Folding Analyses of Structures with Kinematic Indeterminacy
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DOI：
10.1061/(asce)em.1943-7889.0002106
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发表时间：
2022-05
影响因子：
3.3
通讯作者：
Tianhao Zhang;K. Kawaguchi;Minger Wu
中科院分区：
文献类型：
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作者：
Tianhao Zhang;K. Kawaguchi;Minger Wu
基于广义逆理论的运动学分析方法已应用于工程领域。然而，当未知数数量增加时，传统的数值过程会变得非常耗时。本文提出了运动学分析方法的改进近似方法（IAA），以高精度和高效率地跟踪机构的刚性运动。它将获得广义逆的过程简化为求解线性方程的过程。因此，整个计算可以用稀疏矩阵格式来执行。为了证明 IAA 的进展，通过与传统方法的比较来检验数值例子。结果表明 IAA 在精度和效率方面显示出明显的改进。我们发现这些改进是明确且有效的，特别是对于具有多个自由度的系统。
The kinematic analysis method based on generalized inverse theory has been used in the engineering field. However, the traditional numerical procedure is found to be extraordinarily time consuming when the number of unknowns increases. This paper presents an improved approximation approach (IAA) of the kinematic analysis method to trace the rigid motion of mechanisms with both high accuracy and efficiency. It simplifies the procedure of obtaining the generalized inverse into the process of solving linear equations. Accordingly, the whole calculation can be executed with sparse matrix format. To demonstrate the progress of the IAA, the numerical examples are examined through a comparison with the conventional methods. The results indicate that IAA shows distinct improvements in precision and efficiency. The improvements are found to be clear and effective, especially for systems with multiple DOFs.