Nonlinear vibration of circular corrugated plates

DOI10.1007/BF02018549zbMath0618.73071MaRDI QIDQ1089176

Xiaofang Hu, Xin-Zhi Wang, Lin-Xiang Wang

Publication date: 1987

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Hamilton's principlefirst-order approximationcentral maximum amplitudecircular corrugated platesnatural frequencies of linear vibrationsnonlinear natural frequenciesperturbation variational method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (4)

Nonlinear vibration of thin shallow conic shells under combined action of peripheral moment and transverse loads ⋮ A dynamical model for nonlinear viscoelastic corrugated circular plates with shallow sinusoidal corrugations ⋮ Nonlinear natural frequency of shallow conical shells with variable thickness ⋮ Large amplitude vibration of heated corrugated circular plates with shallow sinusoidal corrugations

Cites Work

• The perturbation finite element method for solving problems with nonlinear materials
• Elastic behavior of uniformly loaded circular corrugated plate with sine- shaped shallow waves in large deflection
• A perturbation solution of nonlinear vibration of rectangular orthotropic plates

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