Nonlinear buckled states of rectangular plates

DOI10.1007/BF00249196zbMath0301.73009MaRDI QIDQ1215423

D. Sather, George H. Knightly

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60) General theory of partial differential operators (47F05)

Related Items

Stabilization of a suspension bridge with locally distributed damping ⋮ Instability of modes in a partially hinged rectangular plate ⋮ Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions ⋮ Buckled states of a spherical shell under uniform external pressure ⋮ Long-time dynamics of a hinged-free plate driven by a nonconservative force ⋮ Perturbed bifurcation theory ⋮ Modeling suspension bridges through the von Kármán quasilinear plate equations ⋮ Applications of generic bifurcation. II ⋮ Generic bifurcation with application to the von Kármán equations ⋮ Eight(y) mathematical questions on fluids and structures ⋮ Stability analysis in some strongly prestressed rectangular plates ⋮ Uniform decay rates for a suspension bridge with locally distributed nonlinear damping ⋮ Qualitative methods in bifurcation theory ⋮ Generic and nongeneric bifurcation for the von Kármán equations ⋮ Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation

Cites Work

• On nonuniqueness of solutions of the von Kármán equations
• Branching of solutions of an equation in Hilbert space
• Branching of solutions of nonlinear equations
• On von kármán's equations and the buckling of a thin elastic plate, I the clamped plate
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions
• THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT
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