Structural Engineering and Mechanics

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A high precision direct integration scheme for non-stationary random seismic responses of non-classically damped structures

  • Lin, Jiahao (Research Institute of Engineering, Mechanics, Dalian University of Technology) ;
  • Shen, Weiping (Department of Engineering Mechanics, Shanghai Jiao Tong University) ;
  • Williams, F.W. (Division of Structural Engineering, Cardiff School of Engineering, University of Wales Cardiff)
  • Published : 1995.05.25
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Abstract

For non-classically damped structures subjected to evolutionary random seismic excitations, the non-stationary random responses are computed by means of a high precision direct (HPD) integration scheme combined with the pseudo excitation method. Only real modes are used, so that the reduced equations of motion remain coupled for such non-classically damped structures. In the given examples, the efficiency of this method is compared with that of the Newmark method.

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References

  1. Amin, M. and Ang, A. (1986), "Nonstationary stochastic models of earthquake motions", J. Eng. Mech. Div. ASCE, 94(EM2), 559-583.
  2. Bathe, K. J. and Wilson, E. L. (1976), Numerical methods in finite element analysis, Prentice-Hall, Englewood Cliffs, New Jersey. 308-362.
  3. Clough, R. W. and Penzien, J. (1975), Dynamics of structures, McGraw Hill, New York.
  4. Gasparini, D. A. and Chaudhury, A. D. (1980), "Dynamic response to nonstationary nonwhite excitation", J. Engineering Mech. Div. ASCE, 106(EM6), 1233-1248.
  5. Langley, R.S. (1986), "Comparison of calculation methods for the response of a linear oscillator to non-stationary broad-band excitation", Eng. Struct., 8(3), 148-157. https://doi.org/10.1016/0141-0296(86)90048-9
  6. Lee, M. C. and Penzien, J. (1983), "Stochastic analysis of structures and piping systems subjected to stationary multiple support excitations", Earthquake Eng. Struct. Dyn., 11(1), 91-110. https://doi.org/10.1002/eqe.4290110108
  7. Lin, Jiahao (1985), "A deterministic algorithm for stochastic seismic responses", Chinese Journal Earthquake Engineering and Engineering Vibration, 5(1), 89-94.
  8. Lin, Jiahao (1992), "A fast CQC algorithm for random seismic responses", Computers & Structures, 44(3), 683-687. https://doi.org/10.1016/0045-7949(92)90401-K
  9. Lin, Jiahao, Williams, F.W. and Zhang, Wenshow (1992), "A new approach to multi-excitation stochastic seismic response", Proc. Int. Conf. EPMESC IV,Dalian, July, 1992,Dalian University Press. Dalian. 515-524.
  10. Lin, Jiahao, Zhang, Wenshou and Williams, F.W. (1994), "Pseudo excitation algorithm for non-stationary random seismic responses", Eng. Struct., 16(4), 270-276. https://doi.org/10.1016/0141-0296(94)90067-1
  11. Lin, Y. K. (1967), Probabilistic theory of structural dynamics, McGraw-Hill, New York.
  12. Lin, Y. K., Zhang, R. and Yong, Y. (1990), "Multiply supported pipeline under seismic wave excitations", J. Eng. Mech. Div. ASCE, 116(EM5), 1094-1108. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:5(1094)
  13. Priestley, M.B. (1965), "Evolutionary spectra and non-stationary process", J. Royal Statist. Soc., B27, 204-237.
  14. To, C.W.S. (1986), "Response statics of discretized structures to nonstationary random excitation", J. Sound Vib., 105(2), 217-231. https://doi.org/10.1016/0022-460X(86)90151-3
  15. Zhong, W. X. and Williams, F. W. (1994), "A precise time step integration method", Proc. Instn Mech. Engrs., 208(C6), 427-430.

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