Accuracy of a composite implicit time integration scheme for structural dynamics
From MaRDI portal
Publication:6565261
DOI10.1002/NME.5291zbMATH Open1548.74998MaRDI QIDQ6565261
Jie Zhang, Yinghua Liu, Donghuan Liu
Publication date: 1 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical and other methods in solid mechanics (74S99)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A time integral formulation and algorithm for structural dynamics with nonlinear stiffness
- BDF-like methods for nonlinear dynamic analysis
- Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
- Practical performance of the \(\theta _ 1\)-method and comparison with other dissipative algorithms in structural dynamics
- The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
- Time discretized operators. I: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.
- Time discretized operators. II: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics.
- Enhanced studies on a composite time integration scheme in linear and non-linear dynamics
- A robust composite time integration scheme for snap-through problems
- Evaluation of numerical integration methods in elastodynamics
- Non-linear oscillations using the finite element technique
- Accuracy of one-step integration schemes for damped/forced linear 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 2: Theory
- Survey of the stability of linear finite difference equations
- 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
- A unified set of single step algorithms part 3: The beta-m method, a generalization of the Newmark scheme
- An alpha modification of Newmark's method
- Numerical integration of structural dynamics equations including natural damping and periodic forcing terms
- The unimportance of the spurious root of time integration algorithms for structural dynamics
- Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
- A special stability problem for linear multistep methods
- The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications
- Degenerated shell element with composite implicit time integration scheme for geometric nonlinear analysis
Related Items (3)
A high-order accurate explicit time integration method based on cubic B-spline interpolation and weighted residual technique for structural dynamics ⋮ An efficient and unconditionally stable numerical algorithm for nonlinear structural dynamics ⋮ A-stable linear two-step time integration methods with consistent starting and their equivalent single-step methods in structural dynamics analysis
This page was built for publication: Accuracy of a composite implicit time integration scheme for structural dynamics
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6565261)