Structural Engineering and Mechanics

  • 제3권2호
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  • Pages.145-162
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  • 1995
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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 explicit time-integration method for damped structural systems

  • Pezeshk, S. (Department of Civil Engineering, The University of Memphis) ;
  • Camp, C.V. (Department of Civil Engineering, The University of Memphis)
  • 발행 : 1995.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

A damped trapezoidal rule method for numerical time-integration is presented, and its application in analyses of dynamic response of damped structures is discussed. It is shown that the damped trapezoidal rule method has features that make it an attractive approach for applications in dynamic analyses of structures. Accuracy and stability analyses are developed for the damped single-degree-of-freedom systems. Error analyses are also performed for the Newmark beta method and compared with the damped trapezoidal rule method as a basis for discussion of the relative merits of the proposed method. The procedure is fully explicit and easy to implement. However, since the method is an explicit method, it is conditionally stable. The methodology is applied to several example problems to illustrate its strengths, limitations and inherent simplicity.

키워드

참고문헌

  1. Clough, R.W. and Penzien, J. (1975), Dynamics of Structures, McGraw-Hill, New York.
  2. Dokainish, M.A. and Subbaraj, K. (1989), "A survey of direct time-integration methods in computational structural dynamics-II. Implicit Methods" Computers and Structures, 32(6), 1387-1401. https://doi.org/10.1016/0045-7949(89)90315-5
  3. Humar, J.L. (1990), Dynamics of Structures, Prentice Hall, Englewood Cliffs, New Jersey.
  4. Hughes, T.J.R. (1987), The Finite Element Method, Prentice-Hall, Englewood Cliffs, New Jersey.
  5. Hughes, T.J.R. (1983), "Analysis of transient algorithms with particular reference to stability behavior", In Computational Methods for Transient Analysis, eds. Belytschko, T. and Hughes, T.J.R., Amsterdam: North-Holland, 67-155.
  6. Newmark, N.M. (1959), "A method of computation for structural dynamics", J. Eng. Mech. Div. Asce, Proceeding paper 2094, 85(EM3), 67-94. 1959.
  7. Subbaraj, K. and Dokainish, M.A. (1989), "A survey of direct time-integration methods in computational structural dynamics-I. Explicit Methods," Computers and Structures, 32(6), 1371-1386. https://doi.org/10.1016/0045-7949(89)90314-3

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  2. A novel two sub-stepping implicit time integration algorithm for structural dynamics vol.13, pp.3, 2017, https://doi.org/10.12989/eas.2017.13.3.279
  3. Extended implicit integration process by utilizing nonlinear dynamics in finite element vol.64, pp.4, 1995, https://doi.org/10.12989/sem.2017.64.4.495
  4. Highly accurate family of time integration method vol.67, pp.6, 1995, https://doi.org/10.12989/sem.2018.67.6.603
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