Vibration analysis of structural elements using differential quadrature method

The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation. The crack action is simulated by a line spring model. Also, the...

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Bibliographic Details
Published inJournal of advanced research Vol. 4; no. 1; pp. 93 - 102
Main Authors Nassar, Mohamed, Matbuly, Mohamed S., Ragb, Ola
Format Journal Article
LanguageEnglish
Published Egypt Elsevier B.V 01.01.2013
Elsevier
Subjects
Crack
Differential quadrature
Irregular boundaries
Original
Vibration
Differential quadrature
Vibration
Irregular boundaries
Crack
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Summary:The method of differential quadrature is employed to analyze the free vibration of a cracked cantilever beam resting on elastic foundation. The beam is made of a functionally graded material and rests on a Winkler–Pasternak foundation. The crack action is simulated by a line spring model. Also, the differential quadrature method with a geometric mapping are applied to study the free vibration of irregular plates. The obtained results agreed with the previous studies in the literature. Further, a parametric study is introduced to investigate the effects of geometric and elastic characteristics of the problem on the natural frequencies.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:2090-1232
2090-1224
DOI:10.1016/j.jare.2012.01.009