A LOCKING-FREE FEM IN ACTIVE VIBRATION CONTROL OF A TIMOSHENKO BEAM

被引：16
|
作者：
Hernandez, Erwin [1 ]
Otarola, Enrique [1 ]
机构：
[1] Univ Tecn Federico Santa Maria, Valparaiso, Chile
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2009年 / 47卷 / 04期
关键词：
optimal control problems; finite element method; Timoshenko beam; error estimates; locking free method; FINITE-ELEMENT DISCRETIZATION; APPROXIMATION; EQUATIONS; ORDER; BARS;
D O I：
10.1137/080720838
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we analyze the numerical approximation of an active vibration control problem of a Timoshenko beam. In order to avoid locking, we focus on the finite element method used to compute the beam vibration, to minimize it. Optimal order error estimates are obtained for the control variable, which is the amplitude of secondary forces modeled as Dirac's delta distributions. These estimates are valid with constants that do not depend on the thickness of the beam. In order to assess the performance of the method, numerical tests are reported.
引用
收藏
页码：2432 / 2454
页数：23
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