摘要
文中针对桁架结构研究了基于概率的结构动力特性分析方法。首先建立了结构材料的物理参数和杆长尺寸两者之一或同时具有随机性时结构的刚度矩阵和质量矩阵 ,再从结构振动理论的瑞利商表达式出发 ,利用代数综合法推导出结构特征值随机变量数字特征的计算表达式 ,并提出了求解方法。
The problem of dynamic analysis based on reliability of truss structures are studied in the paper.Considering the randomness of both physical parameters(elastic modulus and mass density) of structural materials and the geometric size of bars,the element's and global stiffness and mass matrices have been built,the structural dynamic characteristics are analyzed based on probability,and the moments of random variable of natural frequency are derived from the Rayleigh's quotient, The method of structural dynamic analysis based on probability is developed.Two examples are given for illustration.
出处
《振动与冲击》
EI
CSCD
2000年第1期64-67,共4页
Journal of Vibration and Shock
基金
国家自然科学基金
关键词
桁架结构
物理参数
随机变量
结构动力分析
truss structures,physical parameters,geometric size,random variables,dynamic characteristic analysis