Uncertain loading and quantifying maximum energy concentration within composite structures

JOURNAL OF COMPUTATIONAL PHYSICS

卷:325

Article

Lipton, Robert^1,2  Sinz, Paul¹  Stuebner, Michael³ 

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[3] Univ Dayton, Res Inst, Dayton, OH 45469 USA

关键词: Worst case load;    Energy concentration;    Eigenvalue problem;    Kosambi-Karhunen-Loeve expansion;   

DOI  :  10.1016/j.jcp.2016.07.010

来源: Elsevier

【 摘 要 】

We introduce a systematic method for identifying the worst case load among all boundary loads of fixed energy. Here the worst case load is defined to be the one that delivers the largest fraction of input energy to a prescribed subdomain of interest. The worst case load is identified with the first eigenfunction of a suitably defined eigenvalue problem. The first eigenvalue for this problem is the maximum fraction of boundary energy that can be delivered to the subdomain. We compute worst case boundary loads and associated energy contained inside a prescribed subdomain through the numerical solution of the eigenvalue problem. We apply this computational method to bound the worst case load associated with an ensemble of random boundary loads given by a second order random process. Several examples are carried out on heterogeneous structures to illustrate the method. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free