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Representation of radiation damping by fractional time derivatives
10.1002/eqe.264.abs
When modelling unbounded domains, formulation of a matrix‐valued force–displacement relationship which can take radiation damping into account is of major importance. In this paper, a method to describe the dynamic stiffness by a system of fractional differential equations in the time‐domain is presented. Here, a doubly asymptotic rational approximation of the low‐frequency force–displacement relationship is used, whereas a direct interpretation of the asymptotic part as a fractional derivative is possible. The numerical solution of the corresponding system of fractional differential equations is demonstrated using the infinite beam on elastic foundation as an example. Copyright © 2003 John Wiley & Sons, Ltd.
Representation of radiation damping by fractional time derivatives
10.1002/eqe.264.abs
When modelling unbounded domains, formulation of a matrix‐valued force–displacement relationship which can take radiation damping into account is of major importance. In this paper, a method to describe the dynamic stiffness by a system of fractional differential equations in the time‐domain is presented. Here, a doubly asymptotic rational approximation of the low‐frequency force–displacement relationship is used, whereas a direct interpretation of the asymptotic part as a fractional derivative is possible. The numerical solution of the corresponding system of fractional differential equations is demonstrated using the infinite beam on elastic foundation as an example. Copyright © 2003 John Wiley & Sons, Ltd.
Representation of radiation damping by fractional time derivatives
Ruge, P. (author) / Trinks, C. (author)
Earthquake Engineering & Structural Dynamics ; 32 ; 1099-1116
2003-06-01
18 pages
Article (Journal)
Electronic Resource
English
Representation of radiation damping by fractional time derivatives
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