Dynamic Response of Multi-span Continuous Beams under Moving Loads

The dynamic behavior of functionally graded (FG) sandwich beams resting on the Pasternak elastic foundation under an arbitrary number of harmonic moving loads is presented by using Timoshenko beam theory, including the significant effects of shear deformation and rotary inertia. The equation of motion governing the dynamic response of the beams is derived from Lagrange’s equations. The Ritz and Newmark methods are implemented to solve the equation of motion for obtaining free and forced vibration results of the beams with different boundary conditions. The influences of several parametric studies such as layer thickness ratio, boundary condition, spring constants, length to height ratio, velocity, excitation frequency, phase angle, etc., on the dynamic response of the beams are examined and discussed in detail. According to the present investigation, it is revealed that with an increase of the velocity of the moving loads, the dynamic deflection initially increases with fluctuations and then drops considerably after reaching the peak value at the critical velocity. Moreover, the distance between the loads is also one of the important parameters that affect the beams’ deflection results under a number of moving loads.

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Dynamic response of pipelines to moving loads

Earthquake Engineering & Structural Dynamics ◽

10.1002/eqe.4290120105 ◽

1984 ◽

Vol 12 (1) ◽

pp. 59-72 ◽

Cited By ~ 22

Author(s):

S. K. Datta ◽

T. Chakraborty ◽

A. H. Shah

Keyword(s):

Dynamic Response ◽

Moving Loads

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Influence of soil-structure interaction on the dynamic response of continuous and integral bridge subjected to moving loads

International Journal of Rail Transportation ◽

10.1080/23248378.2019.1632753 ◽

2019 ◽

Vol 8 (3) ◽

pp. 285-306 ◽

Cited By ~ 1

Author(s):

Anand M. Gharad ◽

Ranjan S. Sonparote

Keyword(s):

Dynamic Response ◽

Soil Structure ◽

Soil Structure Interaction ◽

Moving Loads ◽

Structure Interaction ◽

Integral Bridge

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A Multilayer Cylindrical Tunnel Model for Calculating the Dynamic Response Subjected to Vertical and Horizontal Moving Loads Inside a Circular Tunnel

Dynamics of Rail Transit Tunnel Systems ◽

10.1016/b978-0-12-818382-3.00002-5 ◽

2019 ◽

pp. 15-40

Author(s):

Shunhua Zhou

Keyword(s):

Dynamic Response ◽

Moving Loads ◽

Circular Tunnel ◽

Tunnel Model ◽

Horizontal Moving

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Experimental research on the dynamic response characteristics of the transition subgrade induced by heavy-haul train passage

Proceedings of the Institution of Mechanical Engineers Part F Journal of Rail and Rapid Transit ◽

10.1177/0954409718822924 ◽

2019 ◽

Vol 233 (9) ◽

pp. 974-987 ◽

Cited By ~ 5

Author(s):

Huihao Mei ◽

Wuming Leng ◽

Rusong Nie ◽

Renpan Tu ◽

Yafeng Li ◽

...

Keyword(s):

Dynamic Response ◽

Repeated Loading ◽

Moving Loads ◽

Response Characteristics ◽

Heavy Haul Train ◽

Condition Evaluation ◽

Heavy Haul ◽

Variation Characteristics ◽

Heavy Haul Railway ◽

Moving Train

The dynamic response of the subgrade under moving train loads provides information on subgrade settlement prediction, condition evaluation, and so forth. This paper presents the field dynamics tests on the transition subgrade in the Shuo-Huang heavy-haul railway in China. The variation characteristics of the peak dynamic displacements along the track and subgrade slope were analyzed, and the random distribution characteristics of the peak dynamic displacements at the subgrade shoulder were studied. The response characteristics of the subgrade during the train passage were investigated, and the attenuation regularities of vibration along the subgrade slope were identified. The results indicated that the action of the train moving loads on the subgrade has obvious periodicity, and two bogies in the adjacent wagons should be considered as one loading unit. The peak dynamic displacements at the subgrade shoulder obey normal distribution under the repeated loading of the loading unit. The subgrade bed is dramatically influenced by the dynamic loadings of the trains, and the moving train loads have little influence on the part below the subgrade bed. The results of the research provide the basis for the evaluation of instantaneous and long-term dynamic stability of the subgrade and offer guidance for simulating train moving loads in the model test and numerical analysis to study the dynamic response of the subgrade.

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