Structural Engineering and Mechanics

  • 제5권6호
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  • Pages.691-703
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Optimal locations of point supports in laminated rectangular plates for maximum fundamental frequency

  • Wang, C.M. (Department of Civil Engineering, The National University of Singapore) ;
  • Xiang, Y. (School of Civil and Environmental Engineering, The University of Westem Sydney Nepean) ;
  • Kitipornchai, S. (Department of Civil Engineering, The University of Queensland)
  • 발행 : 1997.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper investigates the optimal locations of internal point supports in a symmetric crossply laminated rectangular plate for maximum fundamental frequency of vibration. The method used for solving this optimization problem involves the Rayleigh-Ritz method for the vibration analysis and the simplex method of Nelder and Mead for the iterative search of the optimum support locations. Being a continuum method, the Rayleigh-Ritz method allows easy handling of the changing point support locations during the optimization search. Rectangular plates of various boundary conditions, aspect ratios, composed of different numbers of layers, and with one, two and three internal point supports are analysed. The interesting results on the optimal locations of the point supports showed that (a) there are multiple solutions; (b) the locations are dependent on both the plate aspect ratios and the number of layers (c) the fundamental frequency may be raised significantly with appropriate positioning of the point supports.

키워드

참고문헌

  1. Liew, K.M. and Wang, C.M. (1992), "Vibration analysis of plates by pb-2 Rayleigh-Ritz method: mixed boundary conditions, reentrant corners and internal curved supports", Mechanics of Structures and Machines, 20, 281-292. https://doi.org/10.1080/08905459208905170
  2. Liew, K.M. and Wang, C.M. (1993), "pb-2 Rayleigh-Ritz method for general plate analysis", Engineering Structures, 15, 55-60. https://doi.org/10.1016/0141-0296(93)90017-X
  3. Nelder, J.A. and Mead, R. (1965), "A simplex method for function minimization", Computer Journal, 7, 308-313. https://doi.org/10.1093/comjnl/7.4.308
  4. Smith, B.T., Boyle, J.M., Dongarra, J.J., Garbow, B.S., Ikebe, Y., Klema, V.C. and Moler, C.B. (1976), Matrix Eigensystem Routines-Eispack Guide, Springer-verlag, .
  5. Wang, C.M., Liew, K.M., Wang, L. and Ang, K.K. (1992), "Optimal locations of internal line supports for rectangular plates against buckling", Structural Optimization, 4(4), 199-205. https://doi.org/10.1007/BF01742745
  6. Wang, C.M., Wang, L., Ang, K.K. and Liew, K.M. (1993), "Optimization of internal line support positions for plates against vibration", Mechanics of Structures and Machines, 21, 429-454. https://doi.org/10.1080/08905459308905196
  7. Xiang, Y., Wang, C.M. and Kitipornchai, S. (1996a), "Optimal design of internal ring support for rectangular plates against vibration or buckling", Journal of Sound and Vibration, 193(2), 545-554. https://doi.org/10.1006/jsvi.1996.0301
  8. Xiang, Y., Wang, C.M. and Kitipornchai, S. (1996b), "Optimal lacations of point supports in plates for maximum fundamental frequency", Structural Optimization, 11(3/4), 170-177. https://doi.org/10.1007/BF01197031

피인용 문헌

  1. Derivative of Buckling Load with Respect to Support Locations vol.126, pp.6, 2000, https://doi.org/10.1061/(ASCE)0733-9399(2000)126:6(559)
  2. Optimal Pick-up Locations for Transport and Handling of Limp Materials vol.73, pp.9, 2003, https://doi.org/10.1177/004051750307300907
  3. Optimum Design of Composite Structures: A Literature Survey (1969–2009) vol.36, pp.1, 2017, https://doi.org/10.1177/0731684416668262
  4. Plate vibration under irregular internal supports vol.39, pp.5, 2002, https://doi.org/10.1016/S0020-7683(01)00241-4
  5. Vibration Analysis of Arbitrarily Shaped Sandwich Plates via Ritz Method vol.8, pp.2, 2001, https://doi.org/10.1080/10759410117566
  6. Dynamic response of thin plates on time-varying elastic point supports vol.62, pp.4, 2017, https://doi.org/10.12989/sem.2017.62.4.431