含损伤结构静力和动力特性的有限元分析

由于海洋特殊环境的影响,船舶与海洋结构物容易受到腐蚀和疲劳等影响,造成结构的局部刚度弱化损伤,本文探讨了船舶常用加筋板结构在不同刚度弱化情况下结构的静力和动力特性变化,并推导了加筋板结构在正交各向异性损伤情况下的有限元列式.对于正交各向异性损伤,采用Kachanov理论,引人了x和y两个方向的损伤系数,并将损伤而形成的各向异性材料的各力学参数通过损伤系数与各向同性材料各参数相关联.本文将损伤参数分为损伤位置、损伤程度和损伤面积三个方面,并分别分析了它们对结构应力、结构固有频率和模态形状的影响.结果表明损伤位置对结构模态和结构应力的分布影响显著,在损伤区域和损伤程度均较小的情况下,距离损伤区域较远部位的应力分布和振型状态均无明显变化.本文建立的方法可以应用到船舶与海洋结构受损强度分析中.

Static and Dynamic Behavior Analysis of Damaged Panel Using FEM

Based on finite element analysis,the static and dynamic behavior of a panel structure with localized damage was discussed. The influences of damage parameters such as damage position,damage size,damage extension were considered to study the characteristic of the panel structure.Three kinds of damages including localized loss of plate thickness,isotropic damage,and orthotropic damage were studied.The damage was considered as reduction of stiffness in a damaged finite element analysis,so compared with the isotropic material,no more material parameters are needed.The variation of natural frequency,natural mode and stress of a damaged panel structure was calculated through numerical simulation. This method can easily be used in damaged finite element analysis of engineering structures.