New benchmark solutions for free vibration of clamped rectangular thick plates and their variants

DOI10.1016/j.aml.2017.11.006zbMath1460.74037OpenAlexW2769274741MaRDI QIDQ1693638

Rui Li, Xinran Zheng, Bo Wang, Pengcheng Wang

Publication date: 31 January 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.006

zbMATH Keywords

rectangular platesymplectic superposition method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Uses Software

• ABAQUS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
• A refined nonlinear theory of plates with transverse shear deformation
• On the finite integral transform method for exact bending solutions of fully clamped orthotropic rectangular thin plates
• NUMERICAL SOLUTIONS TO THE FREE VIBRATION PROBLEM OF MINDLIN SECTOR PLATES USING THE DISCRETE SINGULAR CONVOLUTION METHOD
• A Simple Higher-Order Theory for Laminated Composite Plates
• Free vibration and bending analysis of circular Mindlin plates using singular convolution method
• Analytic bending solutions of free rectangular thin plates resting on elastic foundations by a new symplectic superposition method
• The free vibration of rectangular plates