摘要
对随机参数压电智能梁开展了基于概率的结构动力分析研究。建立了压电材料和主结构材料的物理参数和几何参数具有随机性时结构的刚度矩阵和质量矩阵 ;从结构振动的瑞利商表达式出发 ,通过从刚度矩阵和质量矩阵中提出随机因子 ,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。最后提供了两个算例以说明物理和几何参数随机性对结构动力特性的影响。
In this paper, a dynamic analysis based on reliability for intelligent beam structures with stochastic parameters is presented. Considering the randomness of the geometrical parameters and the physical parameters of main material and piezoelectric material, the expressions of the stiffness and the mass matrices are developed. Based on algebra synthesis method and using stochastic factor that come from mass and stiffness matrices, the numerical characteristics of natural frequency random variable is derived from the Rayleigh's quotient. Finally, two examples are given to illustrate the effect of the stochastic parameters.
出处
《机械科学与技术》
CSCD
北大核心
2003年第6期910-913,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
陕西省自然科学基金项目 ( D70 10 418)资助
关键词
随机参数
压电智能粱
动力特性分析
随机因子
Piezoelectric intelligent beam
Stochastic parameters
Dynamic characteristics analysis
Stochastic factor
