Dynamic Impact Analysis of Double-Tower Cable-Stayed Maglev Bridges Using a Simple Model

The strength and stiffness design of a bridge subject to moving vehicles requires the determination of its dynamic amplification factors (DAFs). This paper presents a simple method for estimating the DAFs of a double-tower multicable-stayed bridge traversed by maglev vehicles. This multicable-stayed bridge with small side spans is idealized as a simply supported Euler beam on an elastic foundation, and the maglev vehicles are simplified as moving uniform forces. A closed-form solution for the dynamic responses of the beam is derived and applied to parametric analysis. The accuracy of the simplified method is first validated by numerical results obtained from precise finite-element (FE) models. The dimensionless parameters governing the DAFs of the beam are then identified: speed parameter, train-bridge length ratio, and elastic support coefficient. Several contour maps against these dimensionless parameters are provided for quick consultation of the DAFs of a bridge in the preliminary design stage. Frequency limits for double-tower cable-stayed bridges are suggested to control the DAFs below a given reasonable value.

[1]  Yeong-Bin Yang,et al.  Vibration of simple beams due to trains moving at high speeds , 1997 .

[2]  Jian Li,et al.  Vibration analysis of the maglev guideway with the moving load , 2007 .

[3]  Domenico Bruno,et al.  Dynamic impact analysis of long span cable-stayed bridges under moving loads , 2008 .

[4]  P. Weidlinger,et al.  Dynamic Interaction Aspects of Cable-Stayed Guideways for High Speed Ground Transportation , 1974 .

[5]  Y. K. Cheung,et al.  Impact study of cable-stayed railway bridges with random rail irregularities , 2002 .

[6]  Xin-jian Kou,et al.  Vibration analysis of maglev three-span continuous guideway considering control system , 2008 .

[7]  L Fryba,et al.  VIBRATION OF SOLIDS AND STRUCTURES UNDER MOVING LOADS (3RD EDITION) , 1999 .

[8]  Francis T.K. Au,et al.  Effects of random road surface roughness and long-term deflection of prestressed concrete girder and cable-stayed bridges on impact due to moving vehicles , 2001 .

[9]  Y. K. Cheung,et al.  IMPACT STUDY OF CABLE-STAYED BRIDGE UNDER RAILWAY TRAFFIC USING VARIOUS MODELS , 2001 .

[10]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[11]  In-Ho Yeo,et al.  Experimental and numerical investigation on dynamic amplification factors of an urban maglev guideway , 2011 .

[12]  Q. Li,et al.  Computer-aided Nonlinear Vehicle-bridge Interaction Analysis , 2010 .

[13]  Moon-Young Kim,et al.  A parametric study on the dynamics of urban transit maglev vehicle running on flexible guideway bridges , 2009 .

[14]  Shoei-Sheng Chen,et al.  Vehicle/Guideway Dynamic Interaction in Maglev Systems , 1996 .

[15]  Yang-Cheng Wang.  NONLINEAR DYNAMIC BEHAVIOR OF CABLE-STAYED BRIDGES , 2001 .

[16]  J. D. Yau,et al.  Response of a maglev vehicle moving on a series of guideways with differential settlement , 2009 .

[17]  W. M. Zhai,et al.  Maglev Vehicle/Guideway Vertical Random Response and Ride Quality , 2002 .

[18]  Yeong-Bin Yang,et al.  Vibration reduction for cable-stayed bridges traveled by high-speed trains , 2004 .

[19]  Yeong-Bin Yang,et al.  IMPACT FORMULAS FOR VEHICLES MOVING OVER SIMPLE AND CONTINUOUS BEAMS. DISCUSSION AND CLOSURE , 1995 .