Automatic time step control algorithms for structural dynamics.
From MaRDI portal
Publication:1578683
DOI10.1016/0045-7825(95)00791-XzbMath1067.74593WikidataQ127907952 ScholiaQ127907952MaRDI QIDQ1578683
Gregory M. Hulbert, Insik Jang
Publication date: 4 September 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods applied to problems in solid mechanics (74S20)
Related Items (23)
Unnamed Item ⋮ A new exact, closed-form a priori global error estimator for second- and higher-order time-integration methods for linear elastodynamics ⋮ Regularized variational formulation for nonlinear dynamics of viscoplastic plates ⋮ Two Efficient Time-Marching Explicit Procedures Considering Spatially/Temporally-Defined Adaptive Time-Integrators ⋮ Analysis of error estimators for the semidiscrete equations of linear solid and structural dynamics ⋮ Analysis and Improved Methods for the Error Estimation of Numerical Solutions in Solid and Multibody Dynamics ⋮ A simple and effective new family of time marching procedures for dynamics ⋮ An isogeometric finite element formulation for phase transitions on deforming surfaces ⋮ A novel time-marching formulation for wave propagation analysis: the adaptive hybrid explicit method ⋮ An improved adaptive formulation for explicit analyses of wave propagation models considering locally-defined self-adjustable time-integration parameters ⋮ An adaptive time integration strategy based on displacement history curvature ⋮ Explicit time-domain approaches based on numerical Green's functions computed by finite differences the ExGa family ⋮ An adaptive semi-explicit/explicit time marching technique for nonlinear dynamics ⋮ A variationally consistent mesh adaptation method for triangular elements in explicit Lagrangian dynamics ⋮ Error estimates and adaptive finite element methods ⋮ The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications ⋮ An accurate and simple universal a posteriori error estimator for GS4-1 framework: adaptive time stepping in first-order transient systems ⋮ The accuracy of the generalized-\(\alpha\) method in the time integration of nonlinear single- and two-DOF forced systems ⋮ A novel family of explicit time marching techniques for structural dynamics and wave propagation models ⋮ An enhanced explicit time-marching technique for wave propagation analysis considering adaptive time integrators ⋮ A novel and simple a posteriori error estimator for LMS methods under the umbrella of GSSSS framework: adaptive time stepping in second-order dynamical systems ⋮ Consistent discontinuous finite elements in elastodynamics ⋮ An explicit predictor/multicorrector time marching with automatic adaptivity for finite-strain elastodynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An automatic time-stepping algorithm for dynamic problems
- Expedient implicit integration with adaptive time stepping algorithm for nonlinear transient analysis
- A variable-step central difference method for structural dynamics analysis. I. Theoretical aspects
- A variable-step central difference method for structural dynamics analysis. II. Implementation and performance evaluation
- Local error control in codes for ordinary differential equations
- Direct time integration methods in nonlinear structural dynamics
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- A unified set of single step algorithms. Part 1: General formulation and applications
- An alpha modification of Newmark's method
- Explicit momentum conserving algorithms for rigid body dynamics
- A simple time‐step control scheme
- The automatic integration of ordinary differential equations
This page was built for publication: Automatic time step control algorithms for structural dynamics.
