Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections

DOI10.1007/BF00887007zbMath0625.73065MaRDI QIDQ3028484

Valery N. Pilipchuk

Publication date: 1986

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

linearizationasymptotic approximationtransformationsystem of differential equationsaveragingsecond invariantBerger plate typeelastic strain energy functionalspatially two-dimensional systems

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Theoretical approximation in context of PDEs (35A35)

Related Items (4)

Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Investigation of nonlinear vibrations of viscoelastic plates with initial imperfections ⋮ Strong nonlinear modal interaction in shallow suspended cables with oscillating ends ⋮ Nonlinear dynamics of a conservative system degenerating into a system with a singular set

Cites Work

• Analytic method of solving nonlinear plate bending problems
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