Vibration analysis for elastic multi-beam structures by theC0-continuous time-stepping finite element method

DOI10.1002/cnm.1143zbMath1310.74045OpenAlexW2106406501MaRDI QIDQ5187903

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

Publication date: 9 March 2010

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1143

zbMATH Keywords

error analysisvibration analysis\(C^0\)-continuous FEMmulti-beam structure

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

An Adaptive Time Stepping Method for Transient Dynamic Response Analysis ⋮ An adaptive time stepping method with efficient error control for second-order evolution problems ⋮ A space-time finite element method for solving linear Riesz space fractional partial differential equations ⋮ A \(C^0 P_2\) time-stepping virtual element method for linear wave equations on polygonal meshes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element analysis for general elastic multi-structures
• Space-time finite element methods for second-order hyperbolic equations
• Numerical analysis of junctions between plates
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• A space-time finite element method for the wave equation
• An efficient integration procedure for linear dynamics based on a time discontinuous Galerkin formulation
• Junction of thin plates
• An improved predictor/multi-corrector algorithm for a time-discontinuous Galerkin finite element method in structural dynamics
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• On the use of space-time finite elements in the solution of elasto-dynamic problems with strain discontinuities.
• A unified set of single-step asymptotic annihilation algorithms for structural dynamics
• An analysis of the TRUNC element for coupled plates with rigid junction
• Implementation and adaptivity of a space-time finite element method for structural dynamics
• A finite element method for investigating general elastic multi-structures
• Multi-structures: asymptotic analysis and singular perturbation problems
• Proof of unconditional stability for a single-field discontinuous Galerkin finite element formulation for linear elastodynamics
• Some studies on mathematical models for general elastic multi-structures
• EXPLICIT PREDICTOR–MULTICORRECTOR TIME DISCONTINUOUS GALERKIN METHODS FOR LINEAR DYNAMICS
• Stability properties of some algorithms for the solution of nonlinear dynamic vibration equations
• Time finite element methods for structural dynamics
• Mathematical model of coupled plates meeting at an angle 0 < θ < π and its finite element method
• An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations
• An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems
• STRUCTURAL DYNAMIC ANALYSIS BY A TIME-DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD
• Numerical solution of the elastic body-plate problem by nonoverlapping domain decomposition type techniques
• A continuous space-time finite element method for the wave equation

This page was built for publication: Vibration analysis for elastic multi-beam structures by theC⁰-continuous time-stepping finite element method