Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics
β Scribed by Hans M. Hilber; Thomas J. R. Hughes
- Book ID
- 112083910
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 960 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0098-8847
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract To damp out spurious highβfrequency responses, timeβstep integration algorithms for structural dynamic analysis should have controllable numerical dissipation in the highβfrequency regime. The algorithms should also be unconditionally stable so that the timeβstep size is governed by the
When a cubic function is interpolated between the prescribed initial displacement and velocity and the exact displacement and velocity at the end of a time step for a single degree of freedom system, the error, or residual, in the governing equation is zero at a number of times. It is shown that for