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Computer Analysis of Falling-Weight Deflectometer Data, Part I: Vertical Displacement Computations on the Surface of a Uniform (One-Layer) Half-Space Due to an Oscillating Surface Pressure Distribution
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1988-11-01
[PDF-1.90 MB]
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Edition:Final Report: September 1987 - November 1988
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Abstract:A computer algorithm SCALPOT, consisting of a set of programs and linked files, has been developed that computes responses for physical and geometrical conditions simulating the Dynatest Falling-Weight Deflectometer. Related work on dynamic analysis of layered elastic and viscoelastic media is reviewed. The pavement dynamics problem as measured by the FWD is shown to be a near-field or intermediate field problem requiring different integration techniques than far-field problems arising in seismic work. Integration of the formal solution is shown to be best treated by direct numerical integration using a newly developed method of estimating truncation error. The integral must be evaluated numerically to a specified level of accuracy, taking into account the effect of truncation of the infinite upper limit, the oscillations due to the Bessel function, the slowness of the convergence of the integral, and singular behavior of the integrand because of pole and branch points. The integrals are broken up into three terms: the first one includes all the pole and branch singularities. The second term integrates between zero crossings of the Bessel function up to the truncation point that occurs at a specified number of cycles of oscillation of the integrand. The third term is the truncation error estimate that uses a modified form of Zhongjin's (1987) method. The computed results are for a uniform (unlayered) half-space, although the integration method was designed to be applicable to the multilayered problem which will be treated in a subsequent effort. The program has been verified using the results of three previous independent investigations.
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