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An adaptive algorithm in time domain for dynamic analysis of a simply supported beam subjected to a moving vehicle
Author(s) -
Li Hating,
Yang Haitian,
Li Nan
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1419
Subject(s) - discretization , finite element method , mathematics , interval (graph theory) , time domain , beam (structure) , algorithm , adaptive stepsize , series (stratigraphy) , moving load , domain (mathematical analysis) , dynamic problem , adaptive algorithm , numerical analysis , mathematical optimization , computer science , mathematical analysis , structural engineering , engineering , paleontology , combinatorics , computer vision , biology
This paper presents an adaptive algorithm in the time domain for the dynamic analysis of a simply supported beam subjected to the moving load and moving vehicle with/without varying surface roughness. By expanding variables at a discretized time interval, a coupled spatial‐temporal problem can be converted into a series of recursive space problems that are solved by finite element method (FEM), and a piecewised adaptive computing procedure can be carried out for different sizes of time steps. The proposed approach is numerically verified via the comparison with analytical and the Runge–Kutta method‐based solutions, and satisfactory results have been achieved. Copyright © 2011 John Wiley & Sons, Ltd.