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A predictor–corrector time integration algorithm for dynamic analysis of nonlinear systems

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Abstract

This paper presents a step-by-step time integration algorithm for efficiently solving second-order nonlinear dynamic problems. The method employs the rewriting of motion as two sets of first-order differential equations. The interpolation of the relevant quantities is achieved by a particular quadratic polinomial expression for the velocities and forces and is defined by values at the boundaries of the time step. Then the time definite integrals of both first-order ordinary differential equations define the numerical relations in the step. An accurate extrapolation predictor and an adaptive time stepping procedure are used as the time predictor–corrector method.

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  1. Dipartimento di Ingegneria Civile, Università della Calabria, 87030, Rende, Italy

    Salvatore Lopez

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  1. Salvatore Lopez
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Correspondence to Salvatore Lopez.

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Lopez, S. A predictor–corrector time integration algorithm for dynamic analysis of nonlinear systems. Nonlinear Dyn 101, 1365–1381 (2020). https://doi.org/10.1007/s11071-020-05798-x

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  • DOI: https://doi.org/10.1007/s11071-020-05798-x

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