Instability of modes in a partially hinged rectangular plate

Author(s)

Ferreira, Jr., Vanderley ; Gazzola, Filippo ; dos Santos, Ederson Moreira

• Document type: Journal article
• Source: Journal of Differential Equations; v. 261, n. 11, p. 6302-6340, DEC 5 2016.
• Web of Science Citations: 3

Abstract

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. (AU)

• FAPESP's process: 14/03805-2 - Nonlinear elliptic partial differential equations and systems
• Grantee: Ederson Moreira dos Santos
• Support Opportunities: Scholarships abroad - Research
• FAPESP's process: 15/17096-6 - Problems on Elliptic PDEs: systems and equations
• Grantee: Ederson Moreira dos Santos
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/23741-3 - Fourth order elliptic equations
• Grantee: Vanderley Alves Ferreira Junior
• Support Opportunities: Scholarships in Brazil - Doctorate