A geometrically non-linear version of the well known 8-node Wilson brick element is presented. The element is based on a sound variational formulation and the modified method of incompatible modes, which are shown to render quite a satisfying, locking-free performance in some challenging large displ
Dimensional model reduction in non-linear finite element dynamics of solids and structures
β Scribed by P. Krysl; S. Lall; J. E. Marsden
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 618 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.167
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper deals with the dynamics of non-linear distributed parameter "xed-bed bioreactors. The model consists of a pair of non-linear partial di!erential (evolution) equations. The true spatially three-dimensional situation is considered instead of the usual one-dimensional approximation. This ena
This paper considers the application of model reduction methods, which are popular for linear systems, to systems with local non-linearities, modeled using finite element analysis. In particular these methods are demonstrated by obtaining the receptance of a discrete and a continuous system with cu
The dynamic response and stability of a single-degree-of-freedom system with unsymmetric piecewise-linear/non-linear stiffness are analyzed using the finite element method in the time domain. Based on a Hamilton's weak principle, this method provides a simple and efficient approach for predicting al