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http://dx.doi.org/10.12989/sem.2007.26.1.001

Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems with the effects of shear deformation and rotary inertia  

Wang, Jee-Ray (Institute of Mechatronoptic Systems, ChienKuo Technology University)
Liu, Tsung-Lung (Department of Naval Architecture and Marine Engineering, Chung Cheng Institute of Technology, National Defense University)
Chen, Der-Wei (Department of Naval Architecture and Marine Engineering, Chung Cheng Institute of Technology, National Defense University)
Publication Information
Structural Engineering and Mechanics / v.26, no.1, 2007 , pp. 1-14 More about this Journal
Abstract
Because of complexity, the literature regarding the free vibration analysis of a Timoshenko beam carrying "multiple" spring-mass systems is rare, particular that regarding the "exact" solutions. As to the "exact" solutions by further considering the joint terms of shear deformation and rotary inertia in the differential equation of motion of a Timoshenko beam carrying multiple concentrated attachments, the information concerned is not found yet. This is the reason why this paper aims at studying the natural frequencies and mode shapes of a uniform Timoshenko beam carrying multiple intermediate spring-mass systems using an exact as well as a numerical assembly method. Since the shear deformation and rotary inertia terms are dependent on the slenderness ratio of the beam, the shear coefficient of the cross-section, the total number of attachments and the support conditions of the beam, the individual and/or combined effects of these factors on the result are investigated in details. Numerical results reveal that the effect of the shear deformation and rotary inertia joint terms on the lowest five natural frequencies of the combined vibrating system is somehow complicated.
Keywords
Timoshenko beam; shear deformation; rotary inertia; spring-mass systems; shear coefficient; natural frequency;
Citations & Related Records

Times Cited By Web Of Science : 9  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
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