Instability of modes in a partially hinged rectangular plate

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Ferreira, Vanderley, Jr.¹  Gazzola, Filippo²  dos Santos, Ederson Moreira¹ 

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil

[2] Politecn Milan, Dipartimento Matemat, Piazza Leonardo Vinci 32, I-20133 Milan, Italy

关键词: Nonlocal plate equation;    Well-posedness;    Asymptotic behavior;    Stability;   

DOI  :  10.1016/j.jde.2016.08.037

来源: Elsevier

【 摘 要 】

We consider a thin and narrow rectangular plate where the two short edges are hinged whereas the two long edges are free. This plate aims to represent the deck of a bridge, either a footbridge or a suspension bridge. We study a nonlocal evolution equation modeling the deformation of the plate and we prove existence, uniqueness and asymptotic behavior for the solutions for all initial data in suitable functional spaces. Then we prove results on the stability/instability of simple modes motivated by a phenomenon which is visible in actual bridges and we complement these theorems with some numerical experiments. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free