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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 5/2018

04.01.2018 | Original

Free vibration of connected double-beam system with general boundary conditions by a modified Fourier–Ritz method

verfasst von: Qingjun Hao, Wenjie Zhai, Zhaobo Chen

Erschienen in: Archive of Applied Mechanics | Ausgabe 5/2018

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Abstract

In this paper, free vibration of connected double-beam system under general boundary conditions is investigated by a modified Fourier–Ritz approach. The effects of the restrained stiffness of the springs and the elastic layer stiffness on modal properties are incorporated in the current framework. The displacement components can be expressed as Fourier cosine series plus auxiliary polynomial functions, which aim to eliminate the discontinuities of displacement and its derivatives at both ends and to enhance the convergence of the results effectively. Numerical examples were presented and discussed for several different geometric and material properties as well as distinct boundary conditions. The effectiveness and rapid convergence of the present method can be verified from the results. Numerous new results for connected double-beam system with arbitrary boundary conditions are presented.
Vorheriger Artikel Free vibration analysis of functionally graded beams using complementary functions method
Nächster Artikel Ring-core method in determining the amount of non-uniform residual stress in laminated composites: experimental, finite element and theoretical evaluation

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Metadaten
Titel
Free vibration of connected double-beam system with general boundary conditions by a modified Fourier–Ritz method
verfasst von
Qingjun Hao
Wenjie Zhai
Zhaobo Chen
Publikationsdatum
04.01.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 5/2018
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-017-1339-5

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