| 基于有限元方法的Kirchhoff板上动态分布载荷的辨识 |
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| 引用本文： | 马晨明.基于有限元方法的Kirchhoff板上动态分布载荷的辨识[J].计算物理,2007,24(4):426-432. |
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| 作者姓名： | 马晨明 |
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| 作者单位： | 东华大学,应用数学系,上海,200051 |
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| 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.
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| 关 键 词： | 动态分布载荷辨识 Kirchhoff板 有限元法 Tikhonov正则化 |
| 文章编号： | 1001-246X（2007）04-0426-07 |
| 收稿时间： | 2006-04-13 |
| 修稿时间： | 2006-04-132006-08-29 |
Determination of Dynamic Load Distribution on a Kirchhoff Plate by FEM |
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| MA Chenming.Determination of Dynamic Load Distribution on a Kirchhoff Plate by FEM[J].Chinese Journal of Computational Physics,2007,24(4):426-432. |
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| Authors: | MA Chenming |
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| Institution: | Department of Applied Mathematics, Donghua University, Shanghai 200051, China |
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| Abstract: | 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. |
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| Keywords: | dynamic load distributions Kirchhoff plates FEM Tikhonov regularization |
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