【作者】 王超； 于建华；

【Author】 WANG Chao,YU Jian-hua~* (School of Architecture and Environment,Sichuan Univ.,Chengdu 610065,China)

【机构】 四川大学建筑与环境学院结构工程系；

【摘要】 以桁架结构为研究对象,在结构物理参数和杆长尺寸具有随机性的情况下利用因子法将参数中的随机部分和确定量分离,推导了结构刚度阵和质量阵的建立过程,在此基础上从结构振动理论的瑞利商出发,用代数综合法得出结构各阶固有频率随机变量和随机正则振型数字特征。最后通过算例与其Monte Carlo数值模拟方法的结果比较,验证了方法的正确性和有效性。更多还原

【Abstract】 By taking a truss structure as the research object,considering the randomness of physical parameters of structural materials and the geometric size of bars,the random and the assured portion can be separated from the parameter by factor method,and the element’ s and global stiffness and mass matrices have been built.Thereout,from the Rayleigh’ s quotient,the expressions of the mean value of structure frequency and mode are educe by the algebra synthesis method.Finally,an example of a stochastic truss is discussed to show the effectiveness of the proposed method by comparing the result of numerial value simulation(Monte Carlo methods).更多还原