Asymptotics of periodic travelling waves of an infinite beam on a nonlinear elastic support

2002 ◽  
pp. 19-42
Author(s):  
Boris Bardin ◽  
Stanislav Furta
Keyword(s):  
Travelling Waves ◽  
Elastic Support ◽  
Infinite Beam ◽  
Nonlinear Elastic

Observations on the Performance of Vibration-Isolated Railway Track

1997 ◽  
Author(s):  
Hugh E. M. Hunt
Keyword(s):  
Travelling Waves ◽  
Surrounding Medium ◽  
Railway Track ◽  
Relative Speed ◽  
Tunnel Wall ◽  
Infinite Beam ◽  
Slab Track ◽  
Torsional Response ◽  
Made In

Abstract Vibration generated by underground railways is difficult to control because of the very limited space available in a tunnel. A popular approach is to use ‘floating slab track’ whereby the rails are fixed to a large concrete foundation separated from the tunnel wall by a resilient material. This paper investigates some of the vibration characteristics of floating slab track from measurements made in situ. These measurements are compared with the theoretical response of an infinite beam on an elastic foundation taking into account the torsional response of the beam. The transmission of vibration through the tunnel wall and into the surrounding medium is discussed with reference to the relative speed of travelling waves and the coincidence frequencies.

Study on Nondestructive Testing Method of Vertical Prestressed Reinforcement Tension in Box Girder

2014 ◽  
Vol 587-589 ◽  
pp. 1395-1401
Author(s):  
Yong Qing Gao ◽  
Jin Peng Zhu ◽  
Feng Zhang ◽  
Guang Zhi Qi
Keyword(s):  
Vibration Frequency ◽  
Tensile Force ◽  
Elastic Parameter ◽  
Elastic Support ◽  
Box Girder ◽  
Testing Method ◽  
Nondestructive Testing Method ◽  
Girder Bridge ◽  
Prestressed Reinforcement ◽  
Nonlinear Elastic

The diagonal cracks in the web of box girder bridge which caused by excessive loss of vertical prestressed tensioning force are particularly common. In order to effectively detect the real force of the vertical prestressed rebars. Take the exposed section of the vertical prestressed rebar as an analysis entity, and take the rebar as a rigid body; the anchoring segment is simulated by an annular outrigger and an annular elastic support. When vertical pretress tension changes, the stiffness of elastic support and the vibration frequency also change accordingly, the change of the value of tensile force can be reflected by the vibration frequency. Combined with the model test data, the nonlinear elastic parameter model between the finish .deformed rebar vertical tensioning force T and the space elastic support stiffness K is established. The validity of the method was checked by extension test. The study indicate that this method is accurate, fast and convenient for engineering applications, can effectively improve the construction quality.

scholarly journals A Numerical Approach to Static Deflection Analysis of an Infinite Beam on a Nonlinear Elastic Foundation: One-Way Spring Model

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Jinsoo Park ◽  
Hyeree Bai ◽  
T. S. Jang
Keyword(s):  
Elastic Foundation ◽  
Numerical Procedure ◽  
Numerical Approach ◽  
Function Technique ◽  
Spring Model ◽  
Static Deflection ◽  
Infinite Beam ◽  
Nonlinear Elastic Foundation ◽  
Deflection Analysis ◽  
Nonlinear Elastic

A numerical procedure proposed by Jang et al. (2011) is applied for the numerical analyzing of static deflection of an infinite beam on a nonlinear elastic foundation. And one-way spring model is used for the modeling of fully nonlinear elastic foundation. The nonlinear procedure involves Green’s function technique and an iterative method using the pseudo spring coefficient. The workability of the numerical procedure is demonstrated through showing the validity of the solution and the convergence test with some external loads.

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