๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A DISCRETE MODEL OF A VIBRATING BEAM USING A TIME-STEPPING APPROACH

โœ Scribed by S.A. NEILD; P.D. MCFADDEN; M.S. WILLIAMS

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
257 KB
Volume
239
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

A time-stepping model of a transversely vibrating, simply supported beam which allows the inclusion of non-linear damage such as a breathing crack is presented. It is based on the approximation that the mass and inertia of the beam may be lumped at points along the beam and the beam #exibility may be represented by discrete springs between rigid blocks. The advantage of a time-stepping approach over other models reported is that it enables the #exibility of the springs to be altered at any time during the analysis allowing the modelling of non-linear damage. The natural frequencies and mode shapes predicted by the model for an undamaged beam are validated against theoretical values and the representation of a non-linear mechanism in the model is compared with experimental data. The model predictions are shown to be accurate for both the undamaged and the non-linear cases.

๐Ÿ“œ SIMILAR VOLUMES

Inverse Mode Problems for the Discrete M
Inverse Mode Problems for the Discrete Model of a Vibrating Beam
โœ Y.M. Ram ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

Discrete models are constructed for a non-uniform cantilever beam by using eigendata. While the classical inverse vibration problem for the vibratory beam determines a model from eigenvalues corresponding to various end conditions, the constructions here are mainly based on eigenvector data. It is s

Modeling of continuous time systems usin
Modeling of continuous time systems using a discrete time representation
โœ J. Schoukens ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 374 KB

Al~traet--The problem of the representation of continuous time systems by difference equations is studied. A solution is proposed using a sample integration technique. The convolution integrals are approximated by digital filters resulting in an arbitrary high accuracy in a wide frequency band.