A lumped mass finite element method for vibration analysis of elastic plate-plate structures

DOI10.1007/s11425-010-3072-1zbMath1214.74014OpenAlexW2127242368MaRDI QIDQ989795

Junjiang Lai, Zhong-Ci Shi, Jian-Guo Huang

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3072-1

zbMATH Keywords

error analysisvibration analysislumped mass FEMplate-plate structures

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Forced motions in linear vibration theory (70J35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Systems arising from the discretization of structural vibration problems (70J50)

Related Items (4)

A priorianda posteriorierror estimates for the method of lumped masses for parabolic optimal control problems ⋮ Error estimates of the lumped mass finite element method for semilinear elliptic problems ⋮ Multi-neighboring grids schemes for solving PDE eigen-problems ⋮ Mathematical modeling and nonlinear vibration analysis of a coupled hydro-generator shaft-foundation system

Cites Work

• Finite element analysis for general elastic multi-structures
• Free vibration analysis of folded plate structures by the FSDT mesh-free method
• Numerical analysis of junctions between plates
• Domain decomposition method and elastic multi-structures: The stiffened plate problem
• Junction of thin plates
• Numerical analysis of junctions between thin shells. II: Approximation by finite element methods
• Numerical analysis of junctions between thin shells. I: Continuous problems
• Vibration analysis of Kirchhoff plates by the Morley element method
• Some studies on mathematical models for general elastic multi-structures
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• Numerical solution of the elastic body-plate problem by nonoverlapping domain decomposition type techniques
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