Optimality conditions for the buckling of a clamped plate

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:432

Article

Stollenwerk, Kathrin¹  Wagner, Alfred¹ 

[1] Rhein Westfal TH Aachen, Inst Math, D-52062 Aachen, Germany

关键词: Buckling load;    Fourth order;    Second shape derivative;   

DOI  :  10.1016/j.jmaa.2015.06.035

来源: Elsevier

【 摘 要 】

We prove the following uniqueness result for the buckling plate: Assume there exists a smooth domain that minimizes the first buckling eigenvalue for a plate among all smooth domains of given volume and connected boundary. Then the domain must be a ball. The proof uses the second domain variation and an inequality by L.E. Payne to establish this result. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free