反求压电薄板智能结构荷载的有限元逆逼近方法

基于压电薄板智能结构提出一种有限元逆逼近反求结构荷载参量的方法，逼近目标函数以压电电荷响应为参量，迭代初值采用单位荷载预逼近方法；数值算例表明了该方法的有效性，可用于解决压电智能结构的荷载识别问题。

Inverse finite element analysis of load on piezoelectric thin plate smart structure

The identification of external loads on composite materials is important branch in advanced structural health monitoring. If the exterior of a structure comprises composite materials then impacts can cause delaminations beneth the surface. Composite structures with this type of damage possess the potential for sudden and catastrophic failure without warning. Smart technology offers a potential solution to the problem of impact damage. The location and extent of the damage could be estimated by monitoring the loads of the strutures in service. The present effort is aimed at developing a finite element-based methodology involving an inverse formulation that employs measured surface strain .The key is to obtain an accurate and stable solution. In this paper, Based on finite element inverse analysis and the least square method, a method is proposed to identify the magnitude and location of the undefinite load applied on the piezoelectric smart structure. The method chooses the piezoelectric responsive charge as fitting parameter in the object function. The initial load is determined by the unit load pre-approched method. First, the sensor principle of the piezoelectric smart structure is introduced. Then the detail numerical algorithm about load parameter are obtained. The existence and uniqueness of load identification equation solution are discussed. Finally, Two numerical simulations examples are carried out for plate-loading and an an aircraft wing box. The results show that the method is simple, credible and has high precise and rapid calculation velocity. Therefor, it may find its uses in the load identification of future smart structures.