Structural Engineering and Mechanics

  • 제8권6호
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  • Pages.547-560
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

An asymptotic analysis on non-linear free vibration of squarely-reticulated circular plates

  • Nie, G.H. (Department of Engineering Mechanics, Tongji University)
  • 발행 : 1999.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper an asymptotic iteration method is adopted to analyze non-linear free vibration of reticulated circular plates composed of beam members placed in two orthogonal directions. For the resulting linear ordinary differential equations in the process of iteration, the power series with rapid convergence has been applied to obtain an analytical solution for non-linear characteristic relation between the amplitude and frequency of the structure. Numerical examples are given, and the phenomena indicating hardening of such structures have been presented for the (immovable or movable) simply-supported and clamped circular plates.

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참고문헌

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  7. Nie, G.H. (1991), "A non-linear theory of reticulated shallow shells", Proceedings of the 22nd Midwestern Mechanics Conference, Rolla, Missouri, USA.
  8. Nie, G.H. and Liu, R.H. (1994a), "Non-linear elastic theory of rectangular reticulated shallow shell structures" , Appl. Math. Mech., 15(5), 413-423. https://doi.org/10.1007/BF02451491
  9. Nie, G.H. (1994b), "Non-linear vibration of rectangular reticulated shallow shell structures" , Appl. Math. Mech., 15(6), 525-535. https://doi.org/10.1007/BF02450765
  10. Nie, G.H. and Cheung, Y.K. (1995), "A non-linear model for stability analysis of reticulated shallow shells with imperfections" , Int. J. of Space Structures, 10(4), 215-230. https://doi.org/10.1177/026635119501000404
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  12. Yamada, S. and Takeuchi, A. (1993), "A simple estimation of free vibration behaviour of latticed cylindrical panel structures", in 'Space Structures 4' (eds. G. A. R. Parke and C. M. Howard), Thomas Telford, London, 526-534.

피인용 문헌

  1. On the buckling of imperfect squarely-reticulated shallow spherical shells supported by elastic media vol.41, pp.1, 2003, https://doi.org/10.1016/S0263-8231(02)00069-1
  2. Snap-through buckling of single-layer squarely-reticulated shallow spherical shells continuously supported on springs vol.10, pp.2, 2000, https://doi.org/10.12989/sem.2000.10.2.111
  3. Nonlinear analysis of imperfect squarely-reticulated shallow spherical shells vol.50, pp.1, 2007, https://doi.org/10.1007/s11433-007-0001-6
  4. Non-linear Free Vibration of Single-layer Reticulated Shallow Spherical Shells vol.15, pp.1, 2000, https://doi.org/10.1260/0266351001494964
  5. Nonlinear free vibration of reticulated shallow spherical shells taking into account transverse shear deformation vol.39, pp.12, 1999, https://doi.org/10.1007/s10483-018-2399-9