Applied Mathematics and Mechanics >
Dynamic behavior of bridge-erecting machine subjected to moving mass suspended by wire ropes
Received date: 2015-10-20
Revised date: 2015-11-27
Online published: 2016-06-01
Supported by
Project supported by the National Natural Science Foundation of China (No. 11472179)
The dynamic behavior of a bridge-erecting machine, carrying a moving mass suspended by a wire rope, is investigated. The bridge-erecting machine is modelled by a simply supported uniform beam, and a massless equivalent “spring-damper” system with an effective spring constant and an effective damping coefficient is used to model the moving mass suspended by the wire rope. The suddenly applied load is represented by a unitary Dirac Delta function. With the expansion method, a simple closed-form solution for the equation of motion with the replaced spring-damper-mass system is formulated. The characters of the rope are included in the derivation of the differential equation of motion for the system. The numerical examples show that the effects of the damping coefficient and the spring constant of the rope on the deflection have significant variations with the loading frequency. The effects of the damping coefficient and the spring constant under different beam lengths are also examined. The obtained results validate the presented approach, and provide significant references in the design process of bridgeerecting machines.
Shaopu YANG, Xueqian FANG, Jianchao ZHANG, Dujuan WANG . Dynamic behavior of bridge-erecting machine subjected to moving mass suspended by wire ropes[J]. Applied Mathematics and Mechanics, 2016 , 37(6) : 741 -748 . DOI: 10.1007/s10483-016-2087-6
[1] Ding, H. J., Chen, W. Q., and Xu, R. On the bending, vibration and stability of laminated rectangular plates with transversely isotropic layers. Applied Mathematics and Mechanics (English Edition), 22(1), 17-24 (2001) DOI10.1007/BF02437941
[2] Greco, A. and Santini, A. Dynamic response of a flexural non-classically damped continuous beam under moving loadings. Computers and Structures, 80, 1945-1953 (2002)
[3] Yanmeni, A. N., Tchoukuegno, R., and Woafo, P. Non-linear dynamics of an elastic beam under moving loads. Journal of Sound and Vibration, 273, 1101-1108 (2004)
[4] Martínez-Castro, A. E. Museros, P., and Castillo-Linares, A. Semi-analytic solution in the time domain for non-uniform multi-span Bernoulli-Euler beams traversed by moving loads. Journal of Sound and Vibration, 294, 278-297 (2006)
[5] Simsek, M. and Kocatürk, T. Nonlinear dynamic analysis of an eccentrically prestressed damped beam under a concentrated moving harmonic load. Journal of Sound and Vibration, 320, 235-253 (2009)
[6] Garinei, A. Vibrations of simple beam-like modelled bridge under harmonic moving loads. International Journal of Engineering Science, 44, 778-787 (2006)
[7] Sudheesh, C. P., Sujatha, C., and Shankar, K. Vibration of simply supported beams under a single moving load: a detailed study of cancellation phenomenon. International Journal of Mechanical Sciences, 99, 40-47 (2015)
[8] Majumder, L. and Manohar, C. S. A time-domain approach for damage detection in beam structures using vibration data with a moving oscillator as an excitation source. Journal of Sound and Vibration, 268, 699-716 (2003)
[9] Zrni?, N. D., Ga?i?, V. M., and Bo?njak, S. M. Dynamic responses of a gantry crane system due to a moving body considered as moving oscillator. Archives of Civil and Mechanical Engineering, 15, 243-250 (2015)
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