Structural Engineering and Mechanics

  • 제39권1호
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  • Pages.47-75
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  • 2011
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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 accurate substructural synthesis approach to random responses

  • Ying, Z.G. (Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University) ;
  • Zhu, W.Q. (Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University) ;
  • Ye, S.Q. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University) ;
  • Ni, Y.Q. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University)
  • 투고 : 2010.06.29
  • 심사 : 2011.02.22
  • 발행 : 2011.07.10
⟨ 이전 논문 다음 논문 ⟩

초록

An accurate substructural synthesis method including random responses synthesis, frequency-response functions synthesis and mid-order modes synthesis is developed based on rigorous substructure description, dynamic condensation and coupling. An entire structure can firstly be divided into several substructures according to different functions, geometric and dynamic characteristics. Substructural displacements are expressed exactly by retained mid-order fixed-interfacial normal modes and residual constraint modes. Substructural interfacial degree-of-freedoms are eliminated by interfacial displacements compatibility and forces equilibrium between adjacent substructures. Then substructural mode vibration equations are coupled to form an exact-condensed synthesized structure equation, from which structural mid-order modes are calculated accurately. Furthermore, substructural frequency-response function equations are coupled to yield an exact-condensed synthesized structure vibration equation in frequency domain, from which the generalized structural frequency-response functions are obtained. Substructural frequency-response functions are calculated separately by using the generalized frequency-response functions, which can be assembled into an entire-structural frequency-response function matrix. Substructural power spectral density functions are expressed by the exact-synthesized substructural frequency-response functions, and substructural random responses such as correlation functions and mean-square responses can be calculated separately. The accuracy and capacity of the proposed substructure synthesis method is verified by numerical examples.

키워드

참고문헌

  1. Barauskas, R. and Barauskiene, R. (2004), "Highly convergent dynamic models obtained by modal synthesis with application to short wave pulse propagation", Int. J. Numer. Meth. Eng., 61, 2536-2554. https://doi.org/10.1002/nme.1169
  2. Chen, H.M. and Iranata, D. (2008), "Realistic simulation of reinforced concrete structural systems with combine of simplified and rigorous component model", Struct. Eng. Mech., 30(5), 619-645. https://doi.org/10.12989/sem.2008.30.5.619
  3. Craig, Jr., R.R. (1995), "Substructure methods in vibration", ASME J. Vib. Acoust., 117, 207-213. https://doi.org/10.1115/1.2838665
  4. Craig, Jr., R.R. and Bampton, M.C.C. (1968), "Coupling of substructures for dynamic analysis", AIAA J., 6, 1313-1319. https://doi.org/10.2514/3.4741
  5. Greif, R. (1986), "Substructuring and component mode synthesis", Shock Vib. Dig., 18, 3-8.
  6. Hou, S.N. (1969), "Review of modal synthesis techniques and a new approach", Shock Vib. Bull., 40(Part 4), 25- 39.
  7. Hurty, W.C. (1965), "Dynamic analysis of structural systems using component modes", AIAA J., 3, 678-685. https://doi.org/10.2514/3.2947
  8. Ji, L., Mace, B.R. and Pinnington, R.J. (2006), "A mode-based approach for the mid-frequency vibration analysis of coupled long- and short-wavelength structures", J. Sound Vib., 289, 148-170. https://doi.org/10.1016/j.jsv.2005.02.003
  9. Ko, J.H. and Bai, Z. (2008), "High-frequency response analysis via algebraic substructuring", Int. J. Numer. Meth. Eng., 76, 295-313. https://doi.org/10.1002/nme.2326
  10. Liu, Y.X. (2010), "Semi-rigid connection modeling for steel frameworks", Struct. Eng. Mech., 35(4), 431-457. https://doi.org/10.12989/sem.2010.35.4.431
  11. Meirovitch, L. and Hale, A.L. (1981), "On the substructure synthesis method", AIAA J., 19, 940-947. https://doi.org/10.2514/3.51023
  12. Petrini, F., Li, H. and Bontempi, F. (2010), "Basis of design and numerical modeling of offshore wind turbines", Struct. Eng. Mech., 36(5), 599-624. https://doi.org/10.12989/sem.2010.36.5.599
  13. Qian, D. and Hansen, J.S. (1995), "Substructure synthesis method for frequency response of viscoelastic structures", AIAA J., 33, 520-527. https://doi.org/10.2514/3.12607
  14. Qiu, J.B., Ying, Z.G. and Williams, F.W. (1997), "Exact modal synthesis techniques using residual constraint modes", Int. J. Numer. Meth. Eng., 40, 2475-2492. https://doi.org/10.1002/(SICI)1097-0207(19970715)40:13<2475::AID-NME176>3.0.CO;2-L
  15. Qiu, J.B., Ying, Z.G. and Yam, L.H. (1997), "New modal synthesis technique using mixed modes", AIAA J., 35, 1869-1875. https://doi.org/10.2514/2.46
  16. Sarkar, A. and Ghanem, R. (2003), "A substructure approach for the midfrequency vibration of stochastic systems", J. Acoust. Soc. Am., 113, 1922-1934. https://doi.org/10.1121/1.1558374
  17. Soize, C. and Mziou, S. (2003), "Dynamic substructuring in the medium-frequency range", AIAA J., 41, 1113- 1118. https://doi.org/10.2514/2.2052
  18. Tsuei, Y.G. and Yee, E.K.L. (1990), "Component synthesis method for system transient response", AIAA J., 28, 1794-1799. https://doi.org/10.2514/3.10475