框架结构单元几何应变能的计算与验证  

Derivation and Validation of Element Geometric Strain Energy for Frame Structure

作　　者：杜家政[1] 王莉[1] 卢立晗 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124

出　　处：《北京工业大学学报》2014年第6期894-899,共6页Journal of Beijing University of Technology

基　　金：北京市教育委员会项目资助(KM201110005014)

摘　　要：为了得到框架结构单元几何应变能,在平面框架结构单元几何刚度矩阵的基础上,推导空间框架结构的单元几何刚度矩阵,借助MSC Patran软件平台,采用PCL(patran command language)语言编写了计算单元几何应变能的程序.数值算例表明:程序运算得出的单元几何应变能求和与MSC Nastran分析数据推导得出的单元几何应变能之和存在非常小的数值误差,验证了程序得出的每个单元几何应变能的正确性,解决了有限元软件难以提取单元几何应变能的问题,可用于研究屈曲约束的显式化问题.To obtain the element geometric strain energy, the element geometric stiffness matrix of spatial frame structure was derivated based on the element geometric stiffness matrix of planar frame structure. On the platform of MSC Patran software, the program was implemented to compute the element geometric stiffness matrix and the element geometric strain energy with PCL （Patran Command Language）. Numerical examples show that summation of element geometric strain energy from the program is consistent with the results inferred from MSC Nastran, which indicates the validity of the element geometric stiffness matrix of spatial frame structure and establishes the foundation for the structure optimization considering buckling constraint.

关 键 词：单元几何应变能 单元几何刚度矩阵 屈曲约束 框架结构 

分 类 号：U461[机械工程—车辆工程] TP308[交通运输工程—载运工具运用工程]