摘要
针对随机智能梁结构参数的不确定性建立了其闭环控制动力响应随机模型。从结构动力响应的Duhamel积分出发,利用求解随机变量函数矩法导出了在三种情况下横向位移、转角位移和应力响应的数字特征表达式。并通过算例分析了在随机荷载作用下控制前后其物理参数、几何参数和控制力对闭环结构系统动力响应的影响。结果表明基于随机方法处理压电智能结构动力响应分析具有可行性、合理性。
This paper constructs a dynamic response analysis model for a closed loop control system of an intelligent beam structure with random uncertainties.The random approach is introduced for the random dynamic response analysis of the closed loop control system.With the Duhamel integral for dynamic responses and the Moment method for random variable function solutions,the numerical characteristic expressions are deduced for transversal displacement,angle displacement and stress responses.Finally,an intelligent cantilever beam is taken as an example to explain the influence of random structural parameters and random loads on dynamic responses of the closed loop control system.The results also show the feasibility and rationality of the random coefficient method.
出处
《工程力学》
EI
CSCD
北大核心
2011年第3期234-239,共6页
Engineering Mechanics
基金
国家863高技术研究发展计划项目(2006AA04Z402)
关键词
压电智能梁
随机模型
随机荷载
闭环控制
动力响应分析
piezoelectricity intelligent beam
random model
random load
closed loop control
dynamic response analysis