Structural Engineering and Mechanics

  • 제19권5호
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  • Pages.551-566
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  • 2005
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Exact natural frequencies of structures consisting of two-part beam-mass systems

  • Su, H. (School of Engineering and Mathematical Sciences, City University) ;
  • Banerjee, J.R. (School of Engineering and Mathematical Sciences, City University)
  • 투고 : 2004.06.17
  • 심사 : 2005.01.13
  • 발행 : 2005.03.30
⟨ 이전 논문 다음 논문 ⟩

초록

Using two different, but related approaches, an exact dynamic stiffness matrix for a two-part beam-mass system is developed from the free vibration theory of a Bernoulli-Euler beam. The first approach is based on matrix transformation while the second one is a direct approach in which the kinematical conditions at the interfaces of the two-part beam-mass system are satisfied. Both procedures allow an exact free vibration analysis of structures such as a plane or a space frame, consisting of one or more two-part beam-mass systems. The two-part beam-mass system described in this paper is essentially a structural member consisting of two different beam segments between which there is a rigid mass element that may have rotatory inertia. Numerical checks to show that the two methods generate identical dynamic stiffness matrices were performed for a wide range of frequency values. Once the dynamic stiffness matrix is obtained using any of the two methods, the Wittrick-Williams algorithm is applied to compute the natural frequencies of some frameworks consisting of two-part beam-mass systems. Numerical results are discussed and the paper concludes with some remarks.

키워드

참고문헌

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