Research Papers

Steady-State Wave Propagation in Multilayered Viscoelastic Media Excited by a Moving Dynamic Distributed Load

[+] Author and Article Information
Lu Sun, Wenjun Gu

Transportation College, Southeast University, Nanjing 210096, China; Department of Civil Engineering, Catholic University of America, Washington, DC 20064

Feiquan Luo

Department of Civil Engineering, Catholic University of America, Washington, DC 20064

J. Appl. Mech 76(4), 041001 (Apr 21, 2009) (15 pages) doi:10.1115/1.3086586 History: Received November 26, 2007; Revised January 26, 2009; Published April 21, 2009

An analytical solution of steady-state dynamic response of a multilayered viscoelastic medium to a moving distributed load is obtained using a novel approach that combines transfer matrix method with Sun’s convolution representation integrated over impulse response function of the layered medium. The layered media under consideration include elastic and viscoelastic media with four different viscoelastic constitutive models, while the moving load is allowed to have a circular spatial distribution, which is more realistic for mimicking tire footprint than a commonly used point load. Efficient numerical algorithms based on fast evaluation of various integral transformations and their inversions are developed and validated through numerical example.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 6

Comparison of elastic and viscoelastic responses

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Figure 1

A multilayered medium resting on bedrock

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Figure 2

A schematic plot of four viscoelastic models

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Figure 3

Procedures for applying the elastic-viscoelastic corresponding principles

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Figure 4

A four-layer pavement used for numerical study

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Figure 5

Vertical displacements and stresses at different locations



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