A quadratic temporal finite element method for linear elastic structural dynamics

DOI10.1016/j.matcom.2015.05.009OpenAlexW2194724460MaRDI QIDQ2228670

Dongkeon Kim, Jinkyu Kim

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2015.05.009

zbMATH Keywords

linear elasticitystructural dynamicsHamilton's principlevariational frameworktemporal finite element method

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (3)

Extended framework of Hamilton's principle for thermoelastic continua ⋮ A Galerkin time quadrature element formulation for linear structural dynamics ⋮ Extended framework of Hamilton's principle applied to Duffing oscillation

Cites Work

• Unnamed Item
• Parametric symplectic partitioned Runge-Kutta methods with energy-preserving properties for Hamiltonian systems
• Explicit volume-preserving splitting methods for linear and quadratic divergence-free vector fields
• Variational methods in theoretical mechanics
• On the variational formulation for linear initial value problems
• Formulation of Euler-Lagrange equations for fractional variational problems
• Inherently energy conserving time finite elements for classical mechanics
• A general finite element formulation for fractional variational problems
• Variational principles for linear elastodynamics
• Variational principles in the linear theory of viscoelasticity
• Geometric Numerical Integration
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• A New Lagrangian and a New Lagrange Equation of Motion for Fractionally Damped Systems
• A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
• A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
• Practical aspects of numerical time integration
• Nonconservative Lagrangian mechanics: a generalized function approach
• Extending Bauer's corollary to fractional derivatives
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
• Variational problems with fractional derivatives: Euler–Lagrange equations
• Fractional actionlike variational problems
• Variational principles for linear initial-value problems

This page was built for publication: A quadratic temporal finite element method for linear elastic structural dynamics