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Random Response of Multi-Segment Beam May Exceed Response of Homogeneous Counterparts by Order of Magnitude

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City 410082, P. R. China

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I. Elishakoff

Department of Ocean and Mechanical Engineering, Florida Atlantic University, Boca Raton FL33431-0991, USA

E-mail Address: elishako@fau.edu

Corresponding author.

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, and

C. Jiang

State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha City 410082, P. R. China

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https://doi.org/10.1142/S0219455420410060Cited by:0 (Source: Crossref)

This article is part of the issue:

IJSSD 20th Anniversary Special Issue
Editor: C. M. Wang

Abstract

This paper investigates the dynamic properties of an inhomogeneous, Bernoulli–Euler multi-segment beam composed of different materials. To the best of knowledge of the authors, the problem of random vibrations of beams composing of different chunks of the beams, namely, strong and weak parts, has not been studied in the literature. In this paper, exact solution of the natural frequencies and associated mode shapes of the multi-segment Bernoulli–Euler beam are obtained using Krylov–Duncan functions, followed by free, forced, and random vibration analyses using the normal mode method. Special emphasis is placed on two special configurations of multi-segment beam, namely, the ‘rigid-soft-rigid beam’ (RSR beam) and ‘soft-rigid-soft beam’ (SRS beam) as simplest manifestations of the multi-chunked structures. Some remarkable properties exhibited by the dynamic response of multi-segment beam are demonstrated through this work, which may be of considerable engineering significance, and could not have been anticipated in advance, especially quantitatively.

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