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J.E. Laier, "A High-Order Integration Algorithm and Spurious Reflections", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 56, 2013. doi:10.4203/ccp.102.56

Keywords: numerical methods, wave propagation, direct integration algorithm, irregular mesh, spurious reflections.

Summary

The objective of this paper is the presentation of the wave velocity dispersion and spurious reflections produced using an efficient step-by-step direct integration algorithm for the structural dynamic equation. The proposed algorithm is formulated in terms of two Hermitian finite difference operators of fifth-order local truncation error and is unconditionally stable with no numerical damping presenting a fourth-order truncation error for period dispersion (global error). In addition, although it is in competition with higher-order algorithms presented in the literature, the computational effort is similar to that of the classical second-order Newmark's method.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 102 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: Paper 56 A High-Order Integration Algorithm and Spurious Reflections J.E. Laier Engineering School of Sao Carlos, University of São Paulo, Brazil doi:10.4203/ccp.102.56 purchase the full-text of this paper Full Bibliographic Reference for this paper J.E. Laier, "A High-Order Integration Algorithm and Spurious Reflections", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 56, 2013. doi:10.4203/ccp.102.56 Keywords: numerical methods, wave propagation, direct integration algorithm, irregular mesh, spurious reflections. Summary The objective of this paper is the presentation of the wave velocity dispersion and spurious reflections produced using an efficient step-by-step direct integration algorithm for the structural dynamic equation. The proposed algorithm is formulated in terms of two Hermitian finite difference operators of fifth-order local truncation error and is unconditionally stable with no numerical damping presenting a fourth-order truncation error for period dispersion (global error). In addition, although it is in competition with higher-order algorithms presented in the literature, the computational effort is similar to that of the classical second-order Newmark's method. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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