摘要
在压电桁架结构的动力分析有限元方法基础上,通过振型叠加法和杜哈梅积分的表达式,对该结构进行了动力载荷作用下的可靠性分析.以杆元的强度、面积和电载荷、机械载荷为随机变量,给出结构单元由强度破坏和损伤电场形成的安全余量表达式,引入随机有限元法,在振型叠加法计算结构系统动力响应的过程中,通过求偏导运算,对压电桁架进行结构可靠性分析,最后由算例分析了机电耦合效应对可靠性指标的影响.分析表明,考虑压电材料逆压电效应,利用外加电压可以提高结构系统在动力载荷作用下的可靠性指标.该方法对含压电材料桁架在工程实际的动力可靠性分析提供较好的依据.
Based on the finite element method for the dynamical analysis of piezoelectric truss structures, the reliability of the structure under dynamical load is analyzed by Mode-superposition Method. Taking into consideration of the mechanical-electric coupling effect under electric load and mechanical load, the formula of safety margins of strength fracture and damnification electric field in the bar has been proposed, where the bar strength, section, electric load and mechanical load are stochastic variables. Superposition of the mode of vibration method is adopted to calculate the structure response. By computing the partial derivative, the piezoelectric trusses＇ dynamic reliability is analyzed. The example demonstrates the influence of voltage on reliability index of the piezoelectric trusses system. The analysis shows that when considering the anti-piezoelectric effect, the reliability index of a structure system under dynamical load can be enhanced by changing the adscititious voltage. The results indicate this is a preferable method to analyze the dynamical reliability for actual engineering projects containing piezoelectric trusses.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2007年第4期388-391,397,共5页
Journal of Harbin Engineering University
基金
国防科学技术工业委员会基础研究基金资助项目(Z192002A001)
关键词
压电桁架
机电耦合
随机有限元
可靠性
piezoelectric truss
electromechanical coupling
stochastic finite element
reliability
