Application of a Weak Form Quadrature Element Method to Nonlinear Free Vibrations of Thin Rectangular Plates

DOI10.1142/S0219455416400010zbMath1359.74272OpenAlexW2144216239MaRDI QIDQ2972448

Minmao Liao, Hongzhi Zhong

Publication date: 7 April 2017

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455416400010

zbMATH Keywords

frequencymode shapethin platenonlinear vibrationweak form quadrature element

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical integration (65D30)

Related Items (1)

Geometrically nonlinear transient response of laminated plates with flexible supports

Cites Work

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• Static analysis of structures by the quadrature element method (QEM)
• On the application of the constant deflection-contour method in nonlinear vibrations of elastic plates
• Application of the R-function method to nonlinear vibrations of thin plates of arbitrary shape
• Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
• A finite element formulation for large amplitude flexural vibrations of thin rectangular plates
• Influence of transverse shear and rotatory inertia on nonlinear vibrations of circular plates
• Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates

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