Structural Engineering and Mechanics

  • 제28권1호
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  • Pages.53-67
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  • 2008
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Free vibrations of anisotropic rectangular plates with holes and attached masses

  • Rossit, C.A. (Dpto. de Ingenieria, Instituto de Mecanica Aplicada, Universidad Nacional del Sur) ;
  • Ciancio, P.M. (Facultad de Ingenieria, Universidad Nacional del Centro de la Provincia de Buenos Aires)
  • 투고 : 2006.12.06
  • 심사 : 2007.08.17
  • 발행 : 2008.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

Anisotropic materials are increasingly required in modern technological applications. Certainly, civil, mechanical and naval engineers frequently deal with the situation of analyzing the dynamical behaviour of structural elements being composed of such materials. For example, panels of anisotropic materials must sometimes support electromechanical engines, and besides, holes are performed in them for operational reasons e.g., conduits, ducts or electrical connections. This study is concerned with the natural frequencies and normal modes of vibration of rectangular anisotropic plates supported by different combinations of the classical boundary conditions: clamped, simply - supported and free, and with additional complexities such holes of free boundaries and attached concentrated masses. A variational approach (the well known Ritz method) is used, where the displacement amplitude is approximated by a set of beam functions in each coordinate direction corresponding to the sides of the rectangular plate. Consequently each coordinate function satisfies the essential boundary conditions at the outer edge of the plate. The influence of the position and magnitude of both hole and mass, on the natural frequencies and modal shapes of vibration are studied for a generic anisotropic material. The classical Ritz method with beam functions as spatial approximation proved to be a suitable procedure to solve a problem of such analytical complexity.

키워드

참고문헌

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피인용 문헌

  1. Modal analysis of delaminated composite plates using the finite element method and damage detection via combined Ritz/2D-wavelet analysis vol.332, pp.12, 2013, https://doi.org/10.1016/j.jsv.2013.01.012
  2. Dynamic analysis of structures in frequency domain by a new set of Ritz vectors vol.39, pp.5, 2008, https://doi.org/10.12989/sem.2011.39.5.703
  3. Free vibration of a rectangular plate with an attached three-degree-of-freedom spring-mass system vol.40, pp.5, 2011, https://doi.org/10.12989/sem.2011.40.5.637