摘要
针对压电智能梁结构,采用6个位移自由度、2个电自由度的有限元模型,利用Hamilton原理推导了结构的动力学方程。基于随机因子法分析了随机参数压电智能梁结构的动态特性;从结构振动的Rayleigh商出发,利用代数综合法推导出结构固有频率随机变量数字特征的计算表达式。以智能悬臂梁为例,分别利用文中的方法和MonteCarlo数值模拟法对其动态特性进行了计算和比较。结果表明,随机因子法是处理智能结构随机性的一种比较方便、实用而精确的方法。
For the intelligent beam containing distributed piezoelectric slices on its two surfaces,an element model of 6 DOFs with 2 electrical DOFs is adopted and its dynamics differential equations are deduced by means of the Hamilton principle.Then,the random factor method is used to discuss the dynamic characteristic of the intelligent beam with random parameters.Based on the algebra synthesis method,the numerical characteristics of natural frequency random variable are derived from the Rayleigh's quotient.Finally,an intelligent cantilever beam is taken as an example,and numerical results of the random factor method are compared with those of the Monte-Carlo method,which verifiy that the random factor method is an expedient,comparatively accurate method in dealing with the randomicity of the intelligent beam.
出处
《振动．测试与诊断》
EI
CSCD
2007年第1期20-24,共5页
Journal of Vibration,Measurement & Diagnosis
基金
国防预研基金资助项目
陕西省自然科学基金资助项目(编号:2005A009)
关键词
智能梁
有限元
随机参数
随机因子法
动态特性
intelligent beam finite element random parameters random factor method dynamic characteristic
