UM
Non-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulation
Iu V.P.2; Cheung Y.K.2; Lau S.L.1
1985-06-08
Source PublicationJournal of Sound and Vibration
ISSN10958568 0022460X
Volume100Issue:3Pages:359-372
AbstractAn incremental variational equation for non-linear motions of multilayer beams composed of n stiff layers and (n - 1) soft cores is derived from the dynamic virtual work equation by an appropriate integration procedure. The kinematical hypotheses of Euler-Bernoulli and Timoshenko beam theories are used to describe the displacement fields of the stiff layers and cores respectively. An efficient solution procedure of incremental harmonic balance method type, with use of finite elements, is developed. To demonstrate its capability, some problems in free non-linear vibrations of multilayer beams are treated by using the procedure. Results are compared with those available in the literature. The effects of damping are also included in this investigation but are described in Part II [1] of this paper in which a number of undamped and damped forced non-linear vibration problems are studied. Results in the form of tables and plots are also presented and comparisons are made with those available in the literature. © 1985.
DOI10.1016/0022-460X(85)90292-5
URLView the original
Language英語English
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Cited Times [WOS]:15   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Hong Kong Polytechnic University
2.The University of Hong Kong
Recommended Citation
GB/T 7714
Iu V.P.,Cheung Y.K.,Lau S.L.. Non-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulation[J]. Journal of Sound and Vibration,1985,100(3):359-372.
APA Iu V.P.,Cheung Y.K.,&Lau S.L..(1985).Non-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulation.Journal of Sound and Vibration,100(3),359-372.
MLA Iu V.P.,et al."Non-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulation".Journal of Sound and Vibration 100.3(1985):359-372.
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