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Dynamic equations for curved submerged floating tunnel

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Abstract

In virtue of reference Cartesian coordinates, geometrical relations of spatial curved structure are presented in orthogonal curvilinear coordinates. Dynamic equations for helical girder are derived by Hamilton principle. These equations indicate that four generalized displacements are coupled with each other. When spatial structure degenerates into planar curvilinear structure, two generalized displacements in two perpendicular planes are coupled with each other. Dynamic equations for arbitrary curvilinear structure may be obtained by the method used in this paper.

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References

  1. Dong M S, Ge F, Hong Y S. Analysis of thermal forces for curved submerged floating tunnels[J]. Engineering Mechanics, 2006, 23(Suppl.1):21–24 (in Chinese).

    Google Scholar 

  2. Ge F, Dong M S, Hui L, Hong Y S. Vortex-induced vibration of submerged floating tunnel tethers under wave and current effects[J]. Engineering Mechanics, 2006, 23(Suppl.1):217–221 (in Chinese).

    Google Scholar 

  3. Tveit P. Ideals on downward arched and other underwater concrete tunnels[J]. Tunneling and Underground Space Technology, 2000, 15(1):69–78.

    Article  Google Scholar 

  4. Brancaleoni F, Castellani A, D’Asdia P. The response of submerged tunnels to their environment[J]. Eng Struct, 1989, 11(1):47–56.

    Article  Google Scholar 

  5. Remseth S, Leira B J, Okstad K M, Mathisen K M, et al. Dynamic response and fluid/structure interaction of submerged floating tunnels[J]. Computers and Structures, 1999, 72(4):659–685.

    Article  MATH  Google Scholar 

  6. Fogazzi P, Perotti F. Dynamic response of seabed anchored floating tunnels under seismic excitation[J]. Earthquake Engineering and Structural Dynamics, 2000, 29(3):273–295.

    Article  Google Scholar 

  7. Chai H Y, Fehrenbach Jon P. Natural frequency of curved girder[J]. Journal of the Engineering Mechanics Division, ASCE, 1981, 107(4):339–354.

    Google Scholar 

  8. Schelling D R, Galdos N H, Sahin M A. Evaluation of impact factors for horizontally curved steel box bridges[J]. Journal of Structural Engineering, ASCE, 1992, 118(11):3203–3221.

    Google Scholar 

  9. Galdos N H, Schelling D R, Sahin M A. Methodology for impact factor for horizontally curved steel box bridge[J]. Journal of Structural Engineering, ASCE, 1993, 119(6):1917–1934.

    Article  Google Scholar 

  10. Snyder J M, Wilson J F. Free vibrations of continuous horizontally curved beams[J]. Journal of Sound and Vibration, 1992, 157(2):345–355.

    Article  MATH  Google Scholar 

  11. Fam A RM, Turkstra C. Model study of horizontally curved box girder[J]. Journal of the Structural Division, ASCE, 1976, 102(5):1097–1108.

    Google Scholar 

  12. Muppidi N R. Lateral vibrations of plane curved bars[J]. Journal of the Structural Division, ASCE, 1968, 94(10):2197–2212.

    Google Scholar 

  13. Ye M, Xiao L X. Analytical mechanics[M]. Tianjin: Tianjin University Press, 2001.

    Google Scholar 

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Correspondence to Hong You-shi  (洪友士).

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Contributed by HONG You-shi

Project supported by the National Natural Science Foundation of China (No. 10532070)

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Dong, Ms., Ge, F., Zhang, Sy. et al. Dynamic equations for curved submerged floating tunnel. Appl Math Mech 28, 1299–1308 (2007). https://doi.org/10.1007/s10483-007-1003-z

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  • DOI: https://doi.org/10.1007/s10483-007-1003-z

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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