Event-driven integration of linear structural dynamics models under unilateral elastic constraints
DOI10.1016/j.cma.2014.03.013zbMath1423.74875OpenAlexW2094503422WikidataQ57863236 ScholiaQ57863236MaRDI QIDQ1667245
Alexandre Depouhon, Emmanuel Detournay, Vincent Denoël
Publication date: 28 August 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://orbi.uliege.be/handle/2268/159502
unilateral constraintscontinuous extensionstructural dynamicscubic Hermite interpolationdiscontinuity stickingnumerical grazing
Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15)
Uses Software
Cites Work
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- A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
- Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction
- Dynamics and bifurcations of non-smooth mechanical systems
- Efficient automatic integration of ordinary differential equations with discontinuities
- Efficient integration over discontinuities in ordinary differential equation simulations
- Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems
- Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: definition and outlook
- Piecewise-smooth dynamical systems. Theory and applications
- A drifting impact oscillator with periodic impulsive loading: application to percussive drilling
- Numerical aspects of non-smooth multibody dynamics
- Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
- Accuracy of one-step integration schemes for damped/forced linear structural dynamics
- Time-Integration Schemes for the Finite Element Dynamic Signorini Problem
- The MATLAB ODE Suite
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- EFFICIENT NUMERICAL DIAGONALIZATION OF HERMITIAN 3 × 3 MATRICES
- A state event detection algorithm for numerically simulating hybrid systems with model singularities
- State event location in differential-algebraic models
- Reliable solution of special event location problems for ODEs
- Recipes for Continuation
- Model Reduction for a Class of Convergent Nonlinear Systems
- Hybrid dynamical systems
- Computational Contact Mechanics
- On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. II: Second-order methods.
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