Journal
JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING-TRANSACTIONS OF THE ASME
Volume 142, Issue 6, Pages -Publisher
ASME
DOI: 10.1115/1.4046675
Keywords
Volterra series; Laguerre polynomials; nonlinear oscillator; transfer function; least-square method; riser; computational mechanics and design; design of offshore structures; dynamics of structures; fluid-structure interaction; wave mechanics and wave effects
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The behavior of a nonlinear dynamic system under arbitrary excitation can be represented by the Volterra series if the Volterra kernels of different orders are known. This study presents a methodology for a direct estimation of the Volterra kernel coefficients up to the second-order using prepared data obtained by running a time-domain analysis of the system of interest. To avoid potential problems during kernel estimation, the Volterra kernel is expanded into a polynomial series using the Laguerre polynomials, and the coefficients of the Laguerre polynomials are then estimated using a least-square method. A nonlinear oscillator with a quadratic stiffness term is introduced, and the methodology is applied to check the applicability and accuracy. The methodology is applied to a more realistic engineering problem of a simplified riser under irregular wave excitation.
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