Identification of elastic property and loading fields from full-field displacement measurements
Identification of elastic property and loading fields from full-field displacement measurements
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DOI：
10.1016/j.ijsolstr.2006.08.031
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发表时间：
2007-05-01
影响因子：
3.6
通讯作者：
Roger, J. P.
中科院分区：
文献类型：
--
作者：
Amiot, F.;Hild, F.;Roger, J. P.
本文介绍了一种由位移场同时识别弹性参数和载荷场的方法。由于微机电系统（MEMS）的机械行为是由表面效应，这种类型的识别工具被认为是主要的兴趣。然而，增加要检索的参数的数量会影响准确识别所需的冗余。一个有限元公式之间的距离测量和静态容许（SA）位移场被证明是相当于一个标准的最小二乘距离运动学容许（KA）领域，如果使用的建模是合适的。任何偏离这种等价性的情况都是建模错误的标志。平衡到KA和SA位移场的距离允许检索未知的建模参数。该方法详细的异质Euler-Bernoulli梁提交一个未知的负载场和应用到实验获得的静电装置的微悬臂梁的位移场。然后识别弹性特性场和参数化载荷场，并评估识别的质量。(c)2006爱思唯尔有限公司保留所有权利。
A method is introduced to identify simultaneously elastic properties and loading fields from a measured displacement field. Since the mechanical behavior of micro-electro-mechanical systems (MEMS) is governed by surface effects, this type of identification tool is thought to be of major interest. However, increasing the number of parameters to retrieve affects the redundancy necessary for an accurate identification. A finite-element formulation of a distance between measured and statically admissible (SA) displacement fields is shown to be equivalent to a standard least-squares distance to kinematically admissible (KA) fields, if the used modeling is suitable. Any deviation from this equivalence is then the signature of a modeling error. Balancing the distance to KA and SA displacement fields allows one to retrieve unknown modeling parameters. This method is detailed on heterogeneous Euler-Bernoulli beams submitted to an unknown loading field and applied to experimental displacement fields of micro-cantilevers obtained with an electrostatic set-up. An elastic property field and a parameterized loading field are then identified, and the quality of the identification is assessed. (c) 2006 Elsevier Ltd. All rights reserved.