摘要
借助有限元法研究Kirchhoff板上动态分布载荷的辨识问题.为了反演右端载荷,选择板表面的应变作为已知的附加信息.使用基于FFT算法的Laplace数值变换及其逆变换,以方便处理系统的动态行为.根据Kirchhoff板的应变-位移关系得到的线性控制系统是病态的,为此使用Tikhonov正则化和L_curve方法进行求解.数值算例结果表明,载荷反演策略是行之有效的.
The determination of dynamic load distribution on a Kirchhoff plate by FEM is studied, which is an inverse problem. To determine the load distribution, we select strain values on the surface of the plate as additional information. Numerical Laplace transformation and inversion are employed to study dynamic behavior of the problem. The linear controlling system, derived from strain-deformation relation in Kirchhoff plate theory, is ill-conditioned. Tikhonov regularization and L-curve method are employed. Numerical examples indicate that the inverse strategy is efficient.
出处
《计算物理》
EI
CSCD
北大核心
2007年第4期426-432,共7页
Chinese Journal of Computational Physics
