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Finite Element Non-linear Random Response Of Beams

✍ Scribed by J.E. Locke

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
286 KB
Volume
178
Category
Article
ISSN
0022-460X

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✦ Synopsis

The non-linear random response of beams is investigated using a (p)-version finite element formulation in conjunction with the method of equivalent linearization. Root-mean-square maximum stresses and deflections are computed for beams with both ends simply supported or clamped, for the case of a spatially uniform applied white noise excitation. Various solution formulations are examined to evaluate factors affecting the accurate determination of stresses and deflections for equivalent linearization finite element solutions. It is demonstrated that accurate deffections can be obtained using any of the formulations. However, for stresses, the order of the element shape functions and the type of equivalent linearization formulation can significantly affect the accuracy.

πŸ“œ SIMILAR VOLUMES

COMPARISON OF FINITE ELEMENT NON-LINEAR
COMPARISON OF FINITE ELEMENT NON-LINEAR BEAM RANDOM RESPONSE WITH EXPERIMENTAL RESULTS
✍ R.R Chen; C Mei; HF Wolfe πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 579 KB

A finite element formulation combined with the equivalent linearization technique and normal mode method is developed for the non-linear random response of beams subjected to acoustic and thermal loads applied simultaneously. To validate the present formulation and solution procedure, results are co