Nonlinear transient response and its sensitivity using finite elements in time
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Publication:1912033
DOI10.1007/BF00368553zbMath0866.70003OpenAlexW1973162259MaRDI QIDQ1912033
Rakesh K. Kapania, Sung Ho Park
Publication date: 10 June 1996
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00368553
\(p\)-versiondesign parametersLegendre polynomialsbasis functions\(hp\)-version\(h\)-versionbilinear formulationintegrated Legendre polynomials
Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
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Cites Work
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- hp-version finite elements for the space-time domain
- Primal and mixed forms of Hamilton's principle for constrained rigid body systems: Numerical studies
- The method of Ritz applied to the equation of Hamilton
- A simplified version of Gurtin's variational principles
- Variational principles for linear elastodynamics
- Variational approaches for dynamics and time-finite-elements: Numerical studies
- Time finite element methods for large rotational dynamics of multibody systems
- Time Finite Element Discretization of Hamilton's Law of Varying Action
- Stability of time finite elements
- Dynamic response of mechanical systems by a weak Hamiltonian formulation
- Application of Hamilton's law of varying action to the restricted three-body problem
- Finite Elements for Initial Value Problems in Dynamics
- Hamilton's principle, Hamilton's law - 6 to the n power correct formulations
- A NOTE ON MIXED VARIATIONAL PRINCIPLES FOR INITIAL-VALUE PROBLEMS
- Application of Hamilton's law of varying action
- Hamilton, Ritz, and Elastodynamics
- Solutions to initial value problems by use of finite elements—Unconstrained variational formulations
- Unconstrained Variational Statements for Initial and Boundary-Value Problems
- Numerical Solution of Ordinary Differential Equations
- Natural Boundary and Initial Conditions from a Modification of Hamilton's Principle
- Variational principles for linear initial-value problems
- Finite-element analysis of time-dependent phenomena.
- Transient field problems: Two‐dimensional and three‐dimensional analysis by isoparametric finite elements
- Modified Gurtin's variational principles in the linear dynamic theory of viscoelasticity