Journal ArticleDOI
Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
Gregory M. Hulbert,Jintai Chung +1 more
Reads0
Chats0
TLDR
In this article, a predictor-corrector explicit time integration algorithm is presented for solving structural dynamics problems, which is based on the implicit generalized-α method developed by the authors.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1996-10-15. It has received 233 citations till now. The article focuses on the topics: Predictor–corrector method & Dissipation.read more
Citations
More filters
Journal ArticleDOI
A phase-field description of dynamic brittle fracture
TL;DR: It is shown that the combination of the phase-field model and local adaptive refinement provides an effective method for simulating fracture in three dimensions.
Journal ArticleDOI
An explicit time integration scheme for the analysis of wave propagations
Gunwoo Noh,Klaus-Jürgen Bathe +1 more
TL;DR: In this paper, a new explicit time integration scheme is presented for the solution of wave propagation problems, which is designed to have small solution errors in the frequency range that can spatially be represented and to cut out high spurious frequencies.
Journal ArticleDOI
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
TL;DR: In this article, the authors explore the use of various element-based reduced quadrature strategies for bivariate and trivariate quadratic and cubic spline elements used in isogeometric analysis.
Journal ArticleDOI
The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/ dynamic applications
TL;DR: The present exposition overviews new and recent advances describing a standardized formal theory towards the evolution, classification, characterization and generic design of time discretized operators for transient/dynamic applications and explains a wide variety of generalized integration operators in time.
Journal ArticleDOI
An extensive review of vibration modelling of rolling element bearings with localised and extended defects
TL;DR: In this paper, a review of literature concerned with the vibration modelling of rolling element bearings that have localised and extended defects is presented, along with analytical models to approximate these vibration signals.
References
More filters
Journal ArticleDOI
Improved numerical dissipation for time integration algorithms in structural dynamics
TL;DR: In this article, a new family of unconditionally stable one-step methods for the direct integration of the equations of structural dynamics is introduced and is shown to possess improved algorithmic damping properties which can be continuously controlled.
Journal ArticleDOI
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
Jintai Chung,Gregory M. Hulbert +1 more
TL;DR: In this paper, a new family of time integration algorithms is presented for solving structural dynamics problems, denoted as the generalized-α method, which possesses numerical dissipation that can be controlled by the user.
Journal ArticleDOI
An alpha modification of Newmark's method
TL;DR: The Bossak-Newmark algorithm as mentioned in this paper is an extension of the well-known Newmark algorithm for numerical integration of the equations of discretized structural dynamics problems, which enables the method (when used on the test equation i = -02x) to be simultaneously second order, unconditionally stable and with positive artificial damping.
Related Papers (5)
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
Jintai Chung,Gregory M. Hulbert +1 more