Analysis of tapered thin plates using basic displacement functions

DOI10.1007/s13369-014-1407-xzbMath1390.74093OpenAlexW1983280903MaRDI QIDQ1637775

Zahra Pachenari, Reza Attarnejad

Publication date: 11 June 2018

Published in: Arabian Journal for Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13369-014-1407-x

zbMATH Keywords

shape functionsvibration analysisnatural frequencybasic displacement functionstapered thin plate

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Cites Work

• Closed-form solutions for free vibrations of rectangular Mindlin plates
• Dynamic basic displacement functions in free vibration analysis of centrifugally stiffened tapered beams; a mechanical solution
• New shape functions for non-uniform curved Timoshenko beams with arbitrarily varying curvature using basic displacement functions
• Free vibration analysis of non-uniform thin curved arches and rings using Adomian modified decomposition method
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• Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach
• A differential quadrature procedure for three-dimensional buckling analysis of rectangular plates
• Free vibration of tapered Mindlin plates using basic displacement functions
• On new symplectic elasticity approach for exact bending solutions of rectangular thin plates with two opposite sides simply supported
• High accuracy mixed finite element-Ritz formulation for free vibration analysis of plates with general boundary conditions
• Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates
• Stability and vibration of shear deformable plates -- first order and higher order analyses
• A SEMI-ANALYTICAL SOLUTION OF THE FLEXURAL VIBRATION OF ORTHOTROPIC PLATES OF VARIABLE THICKNESS
• Matched interface and boundary (MIB) method for the vibration analysis of plates
• Basic displacement functions in analysis of nonprismatic beams
• The free vibration of rectangular plates
• Free vibration analysis of mindlin plates with parabolically varying thickness

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