Analysis of bending, vibration and stability for thin plate on elastic foundation by the multivariable spline element method

DOI10.1007/BF00763130zbMath0899.73488OpenAlexW238866475MaRDI QIDQ1387564

Pengcheng Shen, Peixiang He

Publication date: 15 November 1998

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

Full work available at URL: https://doi.org/10.1007/bf00763130

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (2)

Vibration analysis of piezoelectric composite plate resting on nonlinear elastic foundations using sinc and discrete singular convolution differential quadrature techniques ⋮ Dynamic response of elastic rectangular plates by spline state variable method

Cites Work

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• Necessary and sufficient conditions for correct use of generalized variational principles of elasticity in approximate solutions
• Finite element analysis of axisymmetric elastic body problems
• Dynamic analysis of stiffened plates and shells using spline gauss collocation method
• Discrete and non-discrete mixed methods applied to eigenvalue problems of plates
• Static, vibration and stability analysis of stiffened plates using B spline functions
• Multivariable spline element analysis for plate bending problems
• On the construction of conforming rectangular plate elements
• Vibration of skew plates by using B-spline functions
• Bicubic fundamental splines in plate bending

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