Moving Force-Induced Vibration of a Rotating Beam with Elastic Boundary Conditions

Lv, Binglin, Li, Wanyou and Ouyang, Huajiang ORCID: 0000-0003-0312-0326 (2015) Moving Force-Induced Vibration of a Rotating Beam with Elastic Boundary Conditions. INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 15 (1). p. 1450035.

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Abstract

<jats:p> In this paper, an analytical technique, the so-called Fourier Spectral method (FSM), is extended to the vibration analysis of a rotating Rayleigh beam considering the gyroscopic effect. The model presented can have arbitrary boundary conditions specified in terms of elastic constraints in the translations and rotations or even in terms of attached lumped masses and inertias. Each displacement function is universally expressed as a linear combination of a standard Fourier cosine series and several supplementary functions introduced to ensure and accelerate the convergence of the series expansion. Lagrange's equation is established for all the unknown Fourier coefficients viewed as a set of independent generalized coordinates. A numerical model is constructed for the rotating beam. First, a numerical example considering simply supported boundary conditions at both ends is calculated and the results are compared with those of a published paper to show the accuracy and convergence of the proposed model. Then, the method is applied to one real work piece structure with elastically supported boundary conditions updated from the modal experiment results including both the frequencies and mode shapes using the method of least squares. Several numerical examples of the updated model are studied to show the effects of some parameters on the dynamic characteristics of the work piece subjected to moving loads at different constant velocities. </jats:p>

Item Type:	Article
Additional Information:	## TULIP Type: Articles/Papers (Journal) ##
Uncontrolled Keywords:	Rayleigh beam, gyroscopic effect, spectral method, elastic boundary conditions, moving load
Depositing User:	Symplectic Admin
Date Deposited:	14 Nov 2017 15:21
Last Modified:	19 Jan 2023 06:50
DOI:	10.1142/S0219455414500357
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3012169