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Research Papers

Elastodynamic Inversion of Multilayered Media via Surface Waves—Part II: Implementation and Numerical Verification

[+] Author and Article Information
Feiquan Luo, Wenjun Gu

Department of Civil Engineering, Catholic University of America, 620 Michigan Avenue NE, Washington, DC 20064

Lu Sun

Department of Civil Engineering, Catholic University of America, 620 Michigan Avenue NE, Washington, DC 20064; Transportation College, Southeast University, Nanjing 210096, Chinasunl@cua.edu

J. Appl. Mech 78(4), 041005 (Apr 13, 2011) (7 pages) doi:10.1115/1.4003550 History: Received October 06, 2009; Revised May 20, 2010; Posted January 31, 2011; Published April 13, 2011; Online April 13, 2011

An effective inverse analysis computer program that integrates nonlinear optimization algorithm and forward dynamic analysis of multilayered medium is developed for inferring structural and material properties (e.g., modulus, thickness, and the number of layers) of the medium. Using dynamic deflection information obtained from forward dynamic analysis of the multilayered medium as a hypothetical deflection measured from the field during pavement nondestructive evaluation (NDE) using falling weight deflectometer, the estimated parameters of the medium are compared with the known true parameters of the medium used to perform the static and forward dynamic analyses. Based on two different multilayered media, a number of important observations and conclusions are made regarding the accuracy and efficiency of the proposed numerical algorithms and developed computer program. The inversion methods presented in this paper show improved NDE results over many of the existing algorithms.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 6

True and inverted layer moduli in the time and frequency domains

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Figure 7

True and inverted layer moduli and layer thickness in the time and frequency domains

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Figure 8

Inversions in the time-frequency domains with unknown number of layers

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Figure 9

Comparison between dynamic and static inversions

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Figure 10

Comparison of computation time of dynamic inversion in different cases

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Figure 5

Transfer function of medium

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Figure 4

Dynamic vertical surface displacements of medium

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Figure 3

Time history of the applied impulse load

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Figure 2

A four-layer elastic medium

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Figure 1

Two procedures for validating dynamic inversion analyses

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