材料力学中组合梁组合变形的一种通用解法

简介

两种或多种不同材料制成的组合梁是工程实际中的一种常用结构.本文基于材料力学中的平面假设,胡克定律等基本假设和概念,给出了组合梁组合变形分析的一种通用解法,建立轴力,弯矩与拉伸位移和弯曲挠度的关系,推导出拉伸位移和弯曲挠度满足的微分方程.该分析方法简单易懂,适合材料力学教学和工程实际应用% Composite beams made of two or more different materials are frequently used in engineering. In this paper, a general method is developed to analyze the combined deformation in composite beams based on the plane hypothesis and Hook's law in material mechanics. The axial force and the bending moment are expressed in terms of the tensile displacement and the bending defection. The differential equations of the tensile displacement and the bending deflection are derived. The developed method is appropriate for the material mechanics teaching and the engineering application.收起