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Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths

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Title: Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths
Authors: Honda, Shinya Browse this author →KAKEN DB
Narita, Yoshihiro Browse this author
Keywords: laminated composite
curvilinear fibers
Spline function
natural frequency
vibration mode
Ritz method
Issue Date: 2-Jan-2012
Publisher: Elsevier
Journal Title: Journal of Sound and Vibration
Volume: 331
Issue: 1
Start Page: 180
End Page: 191
Publisher DOI: 10.1016/j.jsv.2011.08.019
Abstract: The development of tow-placement technology has made it possible to control fiber tows individually and place fibers in curvilinear distinct paths in each layer of a laminated plate. This paper presents an analytical method for determining natural frequencies and vibration modes of laminated plates having such curvilinear reinforcing fibers. Spline functions are employed to represent arbitrarily shaped fibers, and Ritz solutions are used to derive frequency equations using series type shape functions. The strain energy is evaluated by numerical integration involving the fiber orientation angle, and is calculated using the derivative of the spline function in minute intervals. The results show that the natural frequencies obtained by the present method agree well with results from finite element analyses. The vibration mode shape contour plots of the plates are seen to reflect clear influences of the fiber shapes.
Type: article (author version)
URI: http://hdl.handle.net/2115/47954
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 本田 真也

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