Nonlinear spectral characteristics of large deformation elasticity theory

DOI10.1016/0020-7225(86)90161-8zbMath0594.73060OpenAlexW2001821942MaRDI QIDQ1077223

Joseph Padovan

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90161-8

zbMATH Keywords

interactionsspectral propertiessubharmonicscombinationproblemlarge elastic deformationsmixed interactionssuperharmonicsfirst order solutionclassic eigenvaluecombination typeconstrained perturbation solutionexternal harmonicsexternal loading fieldsgeneral structural systemshierarchical partitioning of nonlinearityHookes type constitutive lawmixed harmonicsPDE hierarchyperfusion of harmonicsperturbationalsecond Piola-Kirchhoff stress and Lagrangian strain tensorsecond Piola-Kirchhoff stress and Lagrangian strain tensor combinationvarious system spectrazeroth order solution

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Perturbations in context of PDEs (35B20)

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Cites Work

• Unnamed Item
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• Gyroscopic effects in micropolar elasticity
• Interspectral combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems
• Spectral/critical speed characteristics of structure subject to moving loads
• Fast Fourier transform and convolution algorithms
• Sub/superharmonic oscillations and the perturbation procedure
• On solutions to multiply-connected nonself-adjoint systems subject to deterministic and nondeterministic excitations
• Non-linear vibrations of general structures
• The use of ADINA for analysis of mines with explosive fills
• Perturbation Theory of Nonlinear Boundary-Value Problems