Inverse Identification of Nonlinear Boundary for a Pile Using Time Domain Multi-Point Approximations Method

Abstract:

A inverse identification method is proposed to deal with the nonlinear boundary parameter identification problem. The boundary condition is modeled as unknown equivalent substructure applied on the initial linear structure and the parameter identification inverse problem is translated into a linear-model based equivalent force identification problem. Based on a given multi-point approximations method, the time history of the equivalent force is identified using the measured dynamic response. The unknown dynamic forces due to substructure are parameterized by combination the base functions on a series of space-time points. Using the moving least squares method, a matrix is derived to extract the force time history from the measured dynamic response. Then, the boundary stiffness and damping are identified using the input-output data of the equivalent substructure. The proposed approach has been demonstrated by some numerical examples and the boundary parameters are successfully identified.

• Periodical: Applied Mechanics and Materials (Volumes 670-671)
• Pages: 1167-1171
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.670-671.1167
• Online since: October 2014
• Authors: Yuan Gui Sun, Guo Sun, Yuan Jun Gao
• Keywords: Inverse Identification, Multi-Point Approximations, Nonlinear Boundary, Time Domain

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