Investigation of nonlinear vibrations of viscoelastic plates with initial imperfections

DOI10.1007/BF00891800zbMath0736.73034MaRDI QIDQ3981600

Kh. Eshmatov, F. B. Badalov

Publication date: 26 June 1992

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

zbMATH Keywords

orthogonal transformsrectangular viscoelastic plateBubnov-Galerkin proceduredynamical and quasi- statical problemssets of nonlinear integro-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical quadrature and cubature formulas (65D32) Dynamical problems in solid mechanics (74Hxx)

Related Items (2)

Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia ⋮ Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia

Cites Work

• On certain methods of solving systems of integrodifferential equations encountered in viscoelasticity problems
• Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections
• Investigation of physically and geometrically nonlinear osciliations of viscoelastic plates and shells by the averaging method
• Vibrations and stability of compressed rectangular plates on an elastic base
• Analytic method of solving nonlinear plate bending problems
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