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A platform for research: civil engineering, architecture and urbanism
Solution of dynamic response of SDOF system using piecewise Lagrange polynomial
10.1002/eqe.24.abs
As an extension of the procedure in which an arbitrary dynamic loading is approximated by piecewise linear segments, the second‐ and third‐degree piecewise Lagrangian interpolating polynomials are employed to approximate an arbitrary dynamic loading in the Duhamel integral for the solution of dynamic response of a SDOF system. The related formulae are derived. The proposed method offers computational advantage over the traditional step‐by‐step solution techniques for comparable accuracy, and far better accuracy than the piecewise linear approximation procedure for comparable time interval when the loading cannot be represented by straight‐line segments. Copyright © 2001 John Wiley & Sons, Ltd.
Solution of dynamic response of SDOF system using piecewise Lagrange polynomial
10.1002/eqe.24.abs
As an extension of the procedure in which an arbitrary dynamic loading is approximated by piecewise linear segments, the second‐ and third‐degree piecewise Lagrangian interpolating polynomials are employed to approximate an arbitrary dynamic loading in the Duhamel integral for the solution of dynamic response of a SDOF system. The related formulae are derived. The proposed method offers computational advantage over the traditional step‐by‐step solution techniques for comparable accuracy, and far better accuracy than the piecewise linear approximation procedure for comparable time interval when the loading cannot be represented by straight‐line segments. Copyright © 2001 John Wiley & Sons, Ltd.
Solution of dynamic response of SDOF system using piecewise Lagrange polynomial
Liu, J. L. (author)
Earthquake Engineering & Structural Dynamics ; 30 ; 613-619
2001-04-01
7 pages
Article (Journal)
Electronic Resource
English
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