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Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings

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주제분류조선공학

초록

A simple and efficient vibration analysis procedure for stiffened panels with openings and arbitraryboundary conditions based on the assumed mode method is presented. Natural frequencies and modes are determinedby solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange'sequations of motion, where Mindlin theory is applied for plate and Timoshenko beam theory for stiffeners. The effect ofstiffeners on vibration response is taken into account by adding their strain and kinetic energies to the correspondingplate energies whereas the strain and kinetic energies of openings are subtracted from the plate energies. Differentstiffened panels with various opening shapes and dispositions for several combinations of boundary conditions areanalyzed and the results show good agreement with those obtained by the finite element analysis. Hence, the proposedprocedure is especially appropriate for use in the preliminary design stage of stiffened panels with openings.

Abstract

A simple and efficient vibration analysis procedure for stiffened panels with openings and arbitraryboundary conditions based on the assumed mode method is presented. Natural frequencies and modes are determinedby solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange'sequations of motion, where Mindlin theory is applied for plate and Timoshenko beam theory for stiffeners. The effect ofstiffeners on vibration response is taken into account by adding their strain and kinetic energies to the correspondingplate energies whereas the strain and kinetic energies of openings are subtracted from the plate energies. Differentstiffened panels with various opening shapes and dispositions for several combinations of boundary conditions areanalyzed and the results show good agreement with those obtained by the finite element analysis. Hence, the proposedprocedure is especially appropriate for use in the preliminary design stage of stiffened panels with openings.

참고문헌 (17)

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  2. 조대승, "Approximate natural vibration analysis of rectangular plates with openings using assumed mode method", International Journal of Naval Architecture and Ocean Engineering, 5(3), pp.478~491 (2013), 대한조선학회
  3. Cho, D.S., "Natural vibration analysis of stiffened panels with arbitrary edge constraints using the assumed mode method", Proceedings of the IMechE, Part M: Journal of Engineering for the Maritime Environment (2014)
  4. Chung, J. H., "Vibration analysis of orthotropic Mindlin plates with edges elastically restrained against rotation", Journal of Sound and Vibration, 163(1), pp.151~163 (1993)
  5. Grossi, R. O., "Free vibration of rectangular plates with circular openings", Ocean Engineering, 24(1), pp.19~24 (1997)
  6. Kookhyun Kim, "Free vibration analysis of rectangular plate with arbitrary edge constraints using characteristic orthogonal polynomials in assumed mode method", International Journal of Naval Architecture and Ocean Engineering, 4(3), pp.267~280 (2012), 대한조선학회
  7. Kwak, M.K., "Free vibration analysis of rectangular plate with a hole by means of independent coordinate coupling method", Journal of Sound and Vibration, 306(1-2), pp.12~30 (2007)
  8. Mindlin, R. D., "Flexural vibrations of rectangular plates", Journal of Applied Mechanics, 23, pp.430~436 (1956)
  9. Monahan, L. J., "Natural frequencies and mode shapes of plates with interior cutouts", The Shock and Vibration Bulletin, 41, pp.37~49 (1970)
  10. MSC, "MD Nastran 2010 Dynamic analysis user's guide", MSC Software, ~ (2010)
  11. Paramasivam, P., "Free vibration of square plates with square openings", Journal of Sound and Vibration, 30(2), pp.173~178 (1973)
  12. Samanta, A., "Free vibration analysis of stiffened shells by the finite element technique", European Journal of Mechanics, A Solids, 23(1), pp.159~179 (2004)
  13. Sapountzakis, E.J., "An improved model for the dynamic analysis of plates stiffened by parallel beams", Engineering Structures, 30, pp.1720~1733 (2008)
  14. Sivasubramonian, B., "Free vibration of curved panels with cutouts", Journal of Sound and Vibration, 200(2), pp.227~234 (1997)
  15. Sivasubramonian, B., "Free vibration of longitudinally stiffened curved panels with cutout", Journal of Sound and Vibration, 226(1), pp.41~55 (1999)
  16. Srivastava, A. K. L., "Vibration of stiffened plates with cutout subjected to partial edge loading", Journal of the Institution of Engineers(India)Series A, 93(2), pp.129~135 (2012)
  17. Szilard, R., "Theories and applications of plate analysis" (2004), John Wiley & Sons

관련 논문AI추천

Frequency response of rectangular plates with free-edge openings and carlings subjected to point excitation force and enforced displacement at boundaries김병희, 김진형, 조대승, 최태묵, Nikola Vladimir대한조선학회 · International Journal of Naval Architecture and Ocean Engineering2016 · 제8권 제2호Approximate natural vibration analysis of rectangular plates with openings using assumed mode method조대승, 최태묵, Nikola Vladimir대한조선학회 · International Journal of Naval Architecture and Ocean Engineering2013 · 제5권 제3호Free vibration analysis of rectangular plate with arbitrary edge constraints using characteristic orthogonal polynomials in assumed mode method김국현, 조대승, Byung-Hee Kim, Tae-Muk Choi대한조선학회 · International Journal of Naval Architecture and Ocean Engineering2012 · 제4권 제3호직사각형 후판의 면외 진동인텐시티 해석김국현, 조대승한국해양공학회 · 한국해양공학회지2012 · 제26권 제4호Dominant components of vibrational energy flow in stiffened panels analysed by the structural intensity technique조대승, Jin-Hyeong Kim, Nikola Vladimir, Tae-Muk Choi대한조선학회 · International Journal of Naval Architecture and Ocean Engineering2018 · 제10권 제5호A new finite element formulation for vibration analysis of thick plates조대승, Ivo Senjanović, Nikola Vladimir대한조선학회 · International Journal of Naval Architecture and Ocean Engineering2015 · 제7권 제2호

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