Structural Engineering and Mechanics

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Stability and parameters influence study of fully balanced hoist vertical ship lift

  • Cheng, Xionghao (School of Power and Mechanical Engineering, Wuhan University) ;
  • Shi, Duanwei (School of Power and Mechanical Engineering, Wuhan University) ;
  • Li, Hongxiang (School of Power and Mechanical Engineering, Wuhan University) ;
  • Xia, Re (School of Power and Mechanical Engineering, Wuhan University) ;
  • Zhang, Yang (School of Power and Mechanical Engineering, Wuhan University) ;
  • Zhou, Ji (School of Power and Mechanical Engineering, Wuhan University)
  • Received : 2018.01.30
  • Accepted : 2018.03.05
  • Published : 2018.06.10
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Abstract

A theoretical formulation based on the linearized potential theory, the Descartes' rule and the extremum optimization method is presented to calculate the critical distance of lifting points of the fully balanced hoist vertical ship lift, and to study pitching stability of the ship lift. The overturning torque of the ship chamber is proposed based on the Housner theory. A seven-free-degree dynamic model of the ship lift based on the Lagrange equation of the second kind is then established, including the ship chamber, the wire rope, the gravity counterweights and the liquid in the ship chamber. Subsequently, an eigenvalue equation is obtained with the coefficient matrix of the dynamic equations, and a key coefficient is analyzed by innovative use of the minimum optimization method for a stability criterion. Also, an extensive influence of the structural parameters contains the gravity counterweight wire rope stiffness, synchronous shaft stiffness, lifting height and hoists radius on the critical distance of lifting points is numerically analyzed. With the Runge-Kutta method, the four primary dynamical responses of the ship lift are investigated to demonstrate the accuracy/reliability of the result from the theoretical formulation. It is revealed that the critical distance of lifting points decreases with increasing the synchronous shaft stiffness, while increases with rising the other three structural parameters. Moreover, the theoretical formulation is more applicable than the previous criterions to design the layout of the fully balanced hoist vertical ship lift for the ensuring of the stability.

Keywords

Acknowledgement

Supported by : National Major Project Foundation of China

References

  1. Ahmadian, M. and Inman, D.J. (1985), "On the stability of general dynamic systems using a Lyapunov's direct method approach", Comput. Struct., 20, 287-292. https://doi.org/10.1016/0045-7949(85)90078-1
  2. Bai, W., Liu, X. and Koh, C.G. (2015), "Numerical study of violent LNG sloshing induced by realistic ship motions using level set method", Ocean Eng., 97, 100-113. https://doi.org/10.1016/j.oceaneng.2015.01.010
  3. Chen, J.Z. and Ma, G.Y. (1996), "Chamber stability of hoisting fully balancing type vertical ship lift", Hydro-Sci. Eng., 4, 301-308.
  4. Doyle, M.M., Sri Namachchivaya, N. and Van Roessel, H.J. (1997), "Asymptotic stability of structural systems based on Lyapunov exponents and torque Lyapunov exponents", Int. J. Non-Lin. Mech., 32(4), 681-692. https://doi.org/10.1016/S0020-7462(96)00093-5
  5. Housner, G., Bergman, L.A., Caughey, T.K., Chassiakos, A.G., Claus, R.O., Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, B.F. and Yao, J.T. (1997), "Structural control: Past, present, and future", J. Eng. Mech., 123(9), 897-971. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  6. Lancaster, P. (1969), Theory of Matrices, Academic Press.
  7. Li, H.T., Cheng, G.D. and Ruan, S.L. (2005), "Seismic response of ship lift system", J. Dali. Univ. Technol., 45, 473-479.
  8. Liao, C.Y., Wu, Y.C., Chang, C.Y. and Ma, C.C. (2017), "Theoretical analysis based on fundamental functions of thin plate and experimental measurement for vibration characteristics of a plate coupled with liquid", J. Sound Vibr., 394, 545-574. https://doi.org/10.1016/j.jsv.2017.01.023
  9. Liao, L.K. (2014), "Safety analysis and design of full balanced hoist vertical ship lift", Struct. Eng. Mech., 49(3), 311-327. https://doi.org/10.12989/sem.2014.49.3.311
  10. Michael, B. (2014), "For 75 years' ship lift of Rothensee", Bautechnik, 90, 380-387.
  11. Náprstek, J. (2015), "Combined analytical and numerical approaches in dynamic stability analyses of engineering systems", J. Sound Vibr., 338, 2-41. https://doi.org/10.1016/j.jsv.2014.06.029
  12. Qu, W.L. and TU, J.W. (2008), "Theoretical and experimental study on seismic response control on top of three-gorges ship lift towers using magnetorheological intelligent isolation system and its key technique", Front. Architect. Civil Eng., 3(1), 32-41.
  13. Qu, W.L., Xu, Y.L. and Lv, M.Y. (2002), "Seismic response control of large-span machinery building on top of ship lift towers using ER/MR moment controllers", Eng. Struct., 24(4), 517-527. https://doi.org/10.1016/S0141-0296(01)00118-3
  14. Ricci, R. and Pennacchi, P. (2012), "Discussion of the dynamic stability of a multi-degree-of-freedom rotor system affected by a transverse crack", Mech. Mach. Theor., 58, 82-100. https://doi.org/10.1016/j.mechmachtheory.2012.08.002
  15. Ruan, S.L. and Cheng, G.D. (2003), "Calculation of ship-liquidchamber coupled system in the ship lift with finite element method in time domain", Chin. J. Comput. Mech., 20(3), 290-294.
  16. Schinkel, E. (2001), Schiffs Lift, Westfalisches Industriemuseum.
  17. Schultz, D.G. (1963), "A discussion of generalized Routh-Hurwitz conditions for non-linear systems", Trans. AIEE Part II, 81(6), 377-382.
  18. Shi, D.W., Peng, H., Zhao T.Z. and Cheng S.X. (2015), "Finite element and experimental analysis of pinion bracket-assembly of three gorges project ship lift", J. Centr. South Univ., 22(4), 1307-1309. https://doi.org/10.1007/s11771-015-2647-y
  19. Shi, D.W., Shong, Z. and Liao, L.K. (2003), "Coupling analysis of ship-chamber of ship lift and parametric vibration of liquid", Eng. J. Wuhan Univ., 36, 77-80.
  20. Song, C.S., Zhu, C.C., Liu, H.J. and Ni, G.X. (2015), "Dynamic analysis and experimental study of a marine gearbox with crossed beveled gears", Mech. Mach. Theor., 92, 17-28. https://doi.org/10.1016/j.mechmachtheory.2015.05.001
  21. Tang, Y.Q., Chen, L.Q., Zhang, H.J. and Yang, S.P. (2013), "Stability of axially accelerating viscoelastic Timoshenko beams, recognition of longitudinally varying tensions", Mech. Mach. Theor., 62, 31-50. https://doi.org/10.1016/j.mechmachtheory.2012.11.007
  22. Tu, J.W., Qu, W.L. and Chen, J. (2008), "An experimental study on semi-active seismic response control of a large-span building on top of ship lift towers", J. Vibr. Contr., 14(7), 1055-1074. https://doi.org/10.1177/1077546307087396
  23. Weyh, B. and Kostyra, H. (1991), "Direct floquet method for stability limits determination-I: Theory", Mech. Math. Theor., 26(2), 123-131. https://doi.org/10.1016/0094-114X(91)90077-H
  24. Weyh, B. and Kostyra, H. (1991), "Direct floquet method for stability limits determination-II: Application and phenomena", Mech. Math. Theor., 26(2), 133-144. https://doi.org/10.1016/0094-114X(91)90078-I
  25. Wimmer, H.K. (1975), "Generalizations of theorems of Lyapunov and stein", Lin. Algebr. Its Appl., 10(2), 139-146. https://doi.org/10.1016/0024-3795(75)90005-1
  26. Zhong, Y., Tu, J.W., Que, G., Tu, B. and Xu, J.Y. (2016), "Analysis and control of the coupled vibration between the ship lift and ship chamber", Int. J. Civil Eng., 14(5), 307-324. https://doi.org/10.1007/s40999-016-0041-2
  27. Zhou, Y. (2015), "Fuzzy semi-active control and analysis of windinduced vibration of a ship lift", Mater. Struct., 48(10), 3307-3316. https://doi.org/10.1617/s11527-014-0400-x