International Journal of Naval Architecture and Ocean Engineering

  • 제8권2호
  • /
  • Pages.117-126
  • /
  • 2016
  • /
  • 2092-6782(pISSN)
  • /
  • 2092-6790(eISSN)
대한조선학회 (The Society of Naval Architects of Korea)
권호 표지
DOI QR코드

DOI QR Code

Frequency response of rectangular plates with free-edge openings and carlings subjected to point excitation force and enforced displacement at boundaries

  • 투고 : 2014.12.03
  • 심사 : 2015.06.16
  • 발행 : 2016.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, a numerical procedure for the natural vibration analysis of plates with openings and carlings based on the assumed mode method is extended to assess their forced response. Firstly, natural response of plates with openings and carlings is calculated from the eigenvalue equation derived by using Lagrange's equation of motion. Secondly, the mode superposition method is applied to determine frequency response. Mindlin theory is adopted for plate modelling and the effect of openings is taken into account by subtracting their potential and kinetic energies from the corresponding plate energies. Natural and frequency response of plates with openings and carlings subjected to point excitation force and enforced acceleration at boundaries, respectively, is analysed by using developed in-house code. For the validation of the developed method and the code, extensive numerical results, related to plates with different opening shape, carlings and boundary conditions, are compared with numerical data from the relevant literature and with finite element solutions obtained by general finite element tool.

키워드

참고문헌

  1. Aksu, G., Ali, R., 1976. Determination of dynamic characteristics of rectangular plates with cut-outs using a finite difference formulation. J. Sound Vib. 44, 147-158. https://doi.org/10.1016/0022-460X(76)90713-6
  2. Ali, R., Atwal, S.J., 1980. Prediction of natural frequencies of vibration of rectangular plates with rectangular cutouts. Compos. Struct. 12, 819-823. https://doi.org/10.1016/0045-7949(80)90019-X
  3. Avalos, D.R., Laura, P.A.A., 2003. Transverse vibrations of simply supported rectangular plates with two rectangular cutouts. J. Sound Vib. 267, 967-977. https://doi.org/10.1016/S0022-460X(03)00217-7
  4. Chang, C.N., Chiang, F.K., 1988. Vibration analysis of a thick plate with an interior cut-out by a finite element method. J. Sound Vib. 125 (3), 477-486. https://doi.org/10.1016/0022-460X(88)90255-6
  5. Chen, Y., Jin, G., Liu, Z., 2014. Flexural and in-plane vibration analysis of elastically restrained thin rectangular plate with cutout using Chebyshev-Lagrangian method. Int. J. Mech. Sci. 89, 264-278. https://doi.org/10.1016/j.ijmecsci.2014.09.006
  6. Cho, D.S., Vladimir, N., Choi, T.M., 2013. Approximate natural vibration analysis of rectangular plates with openings using assumed mode method. Int. J. Nav. Archit. Ocean Eng. 5 (3), 478-491. https://doi.org/10.2478/IJNAOE-2013-0147
  7. Cho, D.S., Vladimir, N., Choi, T.M., 2015. Natural vibration analysis of stiffened panels with arbitrary edge constraints using the assumed mode method. Proc. IMechE Part M J. Eng. Marit. Environ. 229 (4), 340-349.
  8. Cho, D.S., Vladimir, N., Choi, T.M., 2014. Numerical procedure for the vibration analysis of arbitrarily constrained stiffened panels with openings. Int. J. Nav. Archit. Ocean Eng. 6 (4), 763-774. https://doi.org/10.2478/IJNAOE-2013-0210
  9. Chung, J.H., Chung, T.Y., Kim, K.C., 1993. Vibration analysis of orthotropic Mindlin plates with edges elastically restrained against rotation. J. Sound Vib. 163, 151-163. https://doi.org/10.1006/jsvi.1993.1154
  10. Grossi, R.O., del, V., Arenas, B., Laura, P.A.A., 1997. Free vibration of rectangular plates with circular openings. Ocean Eng. 24 (1), 19-24. https://doi.org/10.1016/0029-8018(96)83604-3
  11. Hegarty, R.F., Ariman, T., 1975. Elasto-dynamic analysis of rectangular plates with circular holes. Int. J. Solids Struct. 11, 895-906. https://doi.org/10.1016/0020-7683(75)90012-8
  12. Huang, M., Sakiyama, T., 1999. Free vibration analysis of rectangular plates with variously-shaped holes. J. Sound Vib. 226 (4), 769-786. https://doi.org/10.1006/jsvi.1999.2313
  13. Huang, D.T., 2013. Effects of constraint, circular cutout and in-plane loading on vibration of rectangular plates. Int. J. Mech. Sci. 68, 114-124. https://doi.org/10.1016/j.ijmecsci.2013.01.005
  14. Kim, K., Kim, B.H., Choi, T.M., Cho, D.S., 2012. Free vibration analysis of rectangular plate with arbitrary edge constraints using characteristic orthogonal polynomials in assumed mode method. Int. J. Nav. Archit. Ocean Eng. 4 (3), 267-280. https://doi.org/10.2478/IJNAOE-2013-0095
  15. Kwak, M.K., Han, S., 2007. Free vibration analysis of rectangular plate with a hole by means of independent coordinate coupling method. J. Sound Vib. 306, 12-30. https://doi.org/10.1016/j.jsv.2007.05.041
  16. Lam, K.Y., Hung, K.C., Chow, S.T., 1989. Vibration analysis of plates with cutouts by the modified Rayleigh-Ritz method. Appl. Acoust. 28, 49-60. https://doi.org/10.1016/0003-682X(89)90030-3
  17. Laura, P.A.A., Romanelli, E., Rossi, R.E., 1997. Transverse vibrations of simply supported rectangular plates with rectangular cutouts. J. Sound Vib. 202, 275-283. https://doi.org/10.1006/jsvi.1996.0703
  18. Lee, H.P., Lim, S.P., Chow, S.T., 1990. Prediction of natural frequencies of rectangular plates with rectangular cutouts. Comput. Struct. 36 (5), 861-869. https://doi.org/10.1016/0045-7949(90)90157-W
  19. Mindlin, R.D., Schacknow, A., Deresiewicz, H., 1956. Flexural vibrations of rectangular plates. J. Appl. Mech. 23, 430-436.
  20. Monahan, L.J., Nemergut, P.J., Maddux, G.E., 1970. Natural frequencies and mode shapes of plates with interior cut-outs. Shock Vib. Bull. 41, 37-49.
  21. MSC, 2010. MD Nastran 2010 Dynamic Analysis User's Guide. MSC Software, Newport Beach, California, USA.
  22. Mundukur, G., Bhat, R.B., Neriya, S., 1994. Vibration of plates with cut-outs using boundary characteristic orthogonal polynomial functions in the Rayleigh-Ritz method. J. Sound Vib. 176, 136-144. https://doi.org/10.1006/jsvi.1994.1364
  23. Nagaya, K., 1981. Simplified method for solving problems of vibrating plates of doubly connected arbitrary shape, part II: applications and experiments. J. Sound Vib. 74 (4), 553-564. https://doi.org/10.1016/0022-460X(81)90419-3
  24. Paramasivam, P., 1973. Free vibration of square plates with square openings. J. Sound Vib. 30, 173-178. https://doi.org/10.1016/S0022-460X(73)80111-7
  25. Reddy, J.N., 1982. Large amplitude flexural vibration of layered composite plates with cutouts. J. Sound Vib. 83 (1), 1-10. https://doi.org/10.1016/S0022-460X(82)80071-0
  26. Sakiyama, T., Huang, M., Matsuda, H., Morita, C., 2003. Free vibration of orthotropic square plates with a square hole. J. Sound Vib. 259 (1), 63-80. https://doi.org/10.1006/jsvi.2002.5181

피인용 문헌

  1. A unified solution for vibration analysis of plates with general structural stress distributions vol.8, pp.6, 2016, https://doi.org/10.1016/j.ijnaoe.2016.05.013
  2. Inverse Identification of Composite Material Properties by using a Two-Stage Fourier Method vol.58, pp.6, 2016, https://doi.org/10.1007/s11340-018-0396-1
  3. Free and forced vibration analysis of arbitrarily supported rectangular plate systems with attachments and openings vol.171, pp.None, 2016, https://doi.org/10.1016/j.engstruct.2017.12.032