Structural Engineering and Mechanics

  • 제13권3호
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  • Pages.299-312
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  • 2002
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Dynamic response analysis for structures with interval parameters

  • Chen, Su Huan (Department of Mechanics, Jilin University) ;
  • Lian, Hua Dong (Department of Mechanics, Jilin University) ;
  • Yang, Xiao Wei (Department of Applied Mathematics, South China University of Technology)
  • 발행 : 2002.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, a new method to solve the dynamic response problem for structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even an optimum scheme is adopted when there are many interval structural parameters. With the interval algorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices are developed. Based on the matrix perturbation theory and interval extension of function, the upper and lower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the interval operations. A numerical example, dynamic response analysis of a box cantilever beam, is given to illustrate the validity of the present method.

키워드

참고문헌

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  3. Chen, S.H., and Qiu, Z.P. (1994), "A New method for computing the upper and lower bounds on frequencies of structures with interval parameters", Mechanics Research Communications, 2, 583-592.
  4. Chen, S.H. (1999), Matrix Perturbation Theory in Structural Dynamics Designs, Science Press, Beijing.
  5. Chen, S.H., and Yang, X.W. (2000), "Interval finite element method for beam structures", Finite Element in Analysis and Design, 34, 75-78. https://doi.org/10.1016/S0168-874X(99)00029-3
  6. Deif, A. (1991), Advanced Matrix Theory for Scientists and Engineers, (2nd Edition), Abacuss Press.
  7. Moore, R.E. (1996), Interval Analysis, Prentice-Hall, Englewood Cliffs, New York.
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피인용 문헌

  1. Interval optimization of dynamic response for uncertain structures with natural frequency constraints vol.26, pp.2, 2004, https://doi.org/10.1016/j.engstruct.2003.09.012
  2. A subinterval decomposition analysis method for uncertain structures with large uncertainty parameters vol.197, 2018, https://doi.org/10.1016/j.compstruc.2017.12.001
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  18. Overestimation Analysis of Interval Finite Element for Structural Dynamic Response vol.11, pp.4, 2019, https://doi.org/10.1142/s1758825119500352