引用本文: 蔡长青, 汪大洋, 张永山等. 复杂平面体系几何组成分析的等价思想及其应用. 力学与实践, 2022, 44(6): 1416-1421.
Cai Changqing, Wang Dayang, Zhang Yongshan, et al. Equivalent idea of geometric composition analysis of complex plane system and its application. Mechanics in Engineering, 2022, 44(6): 1416-1421.
 Citation: Cai Changqing, Wang Dayang, Zhang Yongshan, et al. Equivalent idea of geometric composition analysis of complex plane system and its application. Mechanics in Engineering, 2022, 44(6): 1416-1421.

## EQUIVALENT IDEA OF GEOMETRIC COMPOSITION ANALYSIS OF COMPLEX PLANE SYSTEM AND ITS APPLICATION

• 摘要: 平面体系的几何组成分析是结构力学课程学习的重点内容之一，然而常规的三个基本组成规则在复杂平面体系的几何组成分析中仍存在很大难度。为此，基于等价思想提出了虚实铰等价、刚片等价替换和约束平移等价三种复杂平面体系几何组成分析的等价分析思想，并将其与基本组成规则相结合，通过典型复杂平面体系的案例分析，综合运用三种等价思想，有效验证了所提三种等价思想的可行性和高效性。三种等价思想为复杂平面体系几何组成分析提供了新思路、新途径。

Abstract: The geometric composition analysis of plane system is one of the key contents of structural mechanics. However, the conventional three basic composition rules are still very difficult in the geometric composition analysis of complex plane system. Therefore, based on the equivalence idea, three equivalent analysis ideas for the geometric composition analysis of complex plane systems are proposed: virtual-real hinge equivalence, rigid-plate equivalence replacement and constrained translation equivalence. Combining with the three basic composition rules and comprehensively using of the three equivalent ideas, the feasibility and efficiency of the three equivalent ideas are effectively verified through case analysis of typical complex plane system. The three equivalent ideas provide new ideas and ways for the geometric composition analysis of complex plane system.

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