Structural Engineering and Mechanics

  • 제26권1호
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  • Pages.1-14
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  • 2007
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 투고 : 2005.01.27
  • 심사 : 2006.11.14
  • 발행 : 2007.05.10
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

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