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Probabilistic dynamic analysis of truss structures

  • Chen, J.J. (School of Electronic Mechanical Engineering, Xidian University) ;
  • Che, J.W. (School of Electronic Mechanical Engineering, Xidian University) ;
  • Sun, H.A. (School of Electronic Mechanical Engineering, Xidian University) ;
  • Ma, H.B. (School of Electronic Mechanical Engineering, Xidian University) ;
  • Cui, M.T. (School of Electronic Mechanical Engineering, Xidian University)
  • Published : 2002.02.25

Abstract

The problem of dynamic analysis of truss structures based on probability is studied in this paper. Considering the randomness of both physical parameters (elastic module and mass density) of structural materials and geometric dimension of bars respectively or simultaneously, the stiffness and mass matrixes of the elements and structure have been built. The structure dynamic characteristic based on probability is analyzed, and the expressions of numeral characteristics of inherence frequency random variable are derived from the Rayleigh's quotient. The method of structural dynamic analysis based on probability is developed. Finally, two examples are given.

Keywords

References

  1. Astill, C.J., and Shinozuka, M. (1972), "Random eigenvalue problems in structural analysis", AIAA. J., 10(4), 456-562. https://doi.org/10.2514/3.50119
  2. Benaroya, H., and Rehak, M. (1988), "Finite element methods in probabilistic structural analysis: A selective review", Appl. Mech. Rev. ASME, 41(5), 201-213. https://doi.org/10.1115/1.3151892
  3. Chen, J.J., Che, J.W., Ma, H.B., and Dai, J. (2001), "Dynamic optimum design based on reliability for truss structures", Acta Mechanica Solida Sinica, 22(1), 54-60.
  4. Li, J. (1996), "A research on modeling stochastic structures", J. Vibration Engineering, 9(1), 46-53.
  5. Scheidt, J.V., and Purkert, W. (1983), Random Eigenvalue Problem, Elsevier Science, New York.
  6. Vaicaitis, R. (1974), "Free vibrations of beams with random characteristics", J. Sound & Vibration, 35(1), 13-21. https://doi.org/10.1016/0022-460X(74)90034-0
  7. Wang, X.T., and Mei, Z.X. (1997), "Random eigenvalue analysis of cooling tower on the spline subdomain random perturbation methods", Comput. Struct. Mech. & Application, 14(2), 174-181.
  8. Wu, X.F., and Yang, G.S. (1996), "Statistical analysis of the dynamic characteristics of structures including random parameters", J. Beijing Science and Technical University, 16(1), 43-47.
  9. Zhang, Z.F., and Chen, S.H. (1989), "Random eigenvalue problems in structural dynamics", Proceeding of ICAM.
  10. Zhu, W.Q., and Wu, W.Q. (1992), "A stochastic finite element method for real eigenvalue problem", Prob. Eng. Mech., 118(3), 496-511. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:3(496)

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