恒载作用下损伤梁的弯矩重分布研究

根据等效刚度原理定义损伤程度，对损伤采用损伤位置、损伤程度和损伤长度三个参数来描述，从材料力学平面弯曲理论出发，运用小变形的平面弯曲挠曲线近似微分方程，并引入损伤程度的定义，推导出恒载作用下两端固定损伤梁弯矩方程的隐含表达式。对恒载作用下两端固定损伤梁进行了各种损伤情况下弯矩重分布的对比分析，总结出了其弯矩重分布规律。本研究的目的是期望为桥梁的健康检测、损伤识别理论研究奠定基础。

Studying redistribution of bending moment for damaged deam under dead load

The conception of equivalent stiffness is used to simulate structural damage severity. Using this approach, an analytical model, which includes three damage parameters（damage location, damage severity, and the length of damage）, is developed for fixed-fixed beam. Solutions for the bending moment along the fixed-fixed beam under dead load, for both the undamaged state and damaged state, are obtained by solving the equations which are deduced from the theories of plane bending and approximately differential equation of flexural. The change rules of bending moment for damaged fixed-fixed beam are summarized from comparing the numerical values. The purpose of this paper is to lay groundwork for future research about structural health monitoring and damage identification.