A time integration algorithm for linear transient analysis based on the reproducing kernel method
From MaRDI portal
Publication:660387
DOI10.1016/j.cma.2009.06.011zbMath1230.74233OpenAlexW1978871864MaRDI QIDQ660387
Siamak Soleymani Shishvan, Assadollah Noorzad, Anooshiravan Ansari
Publication date: 1 February 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2009.06.011
Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)
Related Items
A New Explicit Time Integration Scheme for Nonlinear Dynamic Analysis ⋮ Modified differential transformation method for solving nonlinear dynamic problems ⋮ Reproducing kernel functions for difference equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positivity conditions in meshless collocation methods
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- A comprehensive unified set of single-step algorithms with controllable dissipation for dynamics. I: Formulation. II: Algorithms and analysis
- Meshless methods: An overview and recent developments
- Generalized multiple scale reproducing kernel particle methods
- Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
- Unconditionally stable higher-order Newmark methods by sub-stepping procedure
- Unconditionally stable higher-order accurate collocation time-step integration algorithms for first-order equations
- The Nørsett time integration methodology for finite element transient analysis
- 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.
- Inherently energy conserving time finite elements for classical mechanics
- Energy conservation in Newmark based time integration algorithms
- Solving initial value problems by differential quadrature method?part 1: first-order equations
- A theory of development and design of generalized integration operators for computational structural dynamics
- Conservation properties of a time FE method?part II: Time-stepping schemes for non-linear elastodynamics
- HIGHER ORDER TIME-STEP INTEGRATION METHODS WITH COMPLEX TIME STEPS
- UNCONDITIONALLY STABLE COLLOCATION ALGORITHMS FOR SECOND ORDER INITIAL VALUE PROBLEMS
- Meshfree Particle Methods
- Properties of time integration with first order filter damping
- Design spaces, measures and metrics for evaluating quality of time operators and consequences leading to improved algorithms by design—illustration to structural dynamics
- State-space time integration with energy control and fourth-order accuracy for linear dynamic systems
- Algorithms by design with illustrations to solid and structural mechanics/dynamics
- Extended state-space time integration with high-frequency energy dissipation
- Complex-time-step methods for transient analysis
- Higher-order accurate least-squares methods for first-order initial value problems
- Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms. Part 2?second-order equations
- A reproducing kernel method with nodal interpolation property
- Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
- Conservation properties of a time FE method?part III: Mechanical systems with holonomic constraints
- Reproducing kernel particle methods for structural dynamics
- Reproducing kernel particle methods
- Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes
- The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications
- Error analysis of the reproducing kernel particle method
