基于线性与力学特征分析对称性结构内力

Analysis of internal force of symmetrical structure based on linear and mechanical characteristics

从看似简单的问题入手,深入探讨了极易被普遍忽视,而教学思考中不得不深入研究的问题;主要研究对称结构在反对称荷载作用下,对称轴处内力问题。通过引入线性代数相关理论,分析线性方程组相关特征,无法得到对称性结构在反对称荷载作用下的内力特征,只有结合结构对称性的力学特征,深入探讨反对称荷载作用下,才能充分得到对称轴处的对称内力的特征。这虽然是对结构力学知识的深入探究,但充分发掘出了“源知识”,它为后续的教学创新性提供了思考的空间,也促进了教与学相互发展。

This paper starts with the seemingly simple problems,and probes deeply into the problems that are easily ignored,but have to be deeply studied in teaching thinking.This paper mainly studies the internal forces at the axis of symmetry of symmetric structures under antisymmetric loads.In this paper,by introducing the theory of linear algebra and analyzing the characteristics of linear equations,the internal force characteristics of symmetric structure under antisymmetric load can not be obtained.Only by combining the mechanical characteristics of symmetrical structure and deeply discussing the antisymmetric load,can the characteristics of symmetric internal force at the axis of symmetry be fully obtained.Although this is an in-depth exploration of the knowledge of structural mechanics,it fully explores the“source knowledge”,which provides a thinking space for the subsequent teaching innovation,and also promotes the mutual development of teaching and learning.