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On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems / Djordje, Peric; Wulf, Dettmer; Chennakesava, Kadapa

Computers & Structures, Volume: 193, Pages: 226 - 238

Swansesa University Authors: Djordje, Peric, Wulf, Dettmer, Chennakesava, Kadapa

Abstract

The advantages of using the generalised-alpha scheme for first-order systems for computing the numerical solutions of second-order equations encountered in structural dynamics are presented. The governing equations are rewritten so that the second-order equations can be solved directly without havin...

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Published in: Computers & Structures
ISSN: 0045-7949
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa35131
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spelling 2017-11-20T10:10:42.9080925 v2 35131 2017-09-06 On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems 9d35cb799b2542ad39140943a9a9da65 0000-0002-1112-301X Djordje Peric Djordje Peric true false 30bb53ad906e7160e947fa01c16abf55 0000-0003-0799-4645 Wulf Dettmer Wulf Dettmer true false de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 2017-09-06 EEN The advantages of using the generalised-alpha scheme for first-order systems for computing the numerical solutions of second-order equations encountered in structural dynamics are presented. The governing equations are rewritten so that the second-order equations can be solved directly without having to convert them into state-space. The stability, accuracy, dissipation and dispersion characteristics of the scheme are discussed. It is proved through spectral analysis that the proposed scheme has improved dissipation properties when compared with the standard generalised-alpha scheme for second-order equations. It is also proved that the proposed scheme does not suffer from overshoot. Towards demonstrating the application to practical problems, proposed scheme is applied to the benchmark example of three degrees of freedom stiff-flexible spring-mass system, two-dimensional Howe truss model, and elastic pendulum problem discretised with non-linear truss finite elements. Journal Article Computers & Structures 193 226 238 0045-7949 Structural dynamics; Time integration; Generalised-alpha scheme; Numerical dissipation; Overshoot 1 1 2017 2017-01-01 10.1016/j.compstruc.2017.08.013 The advantages of applying the generalised-alpha scheme for first-order systems to the second-order equations encountered in structural dynamics are presented. The additional computational cost is restricted to the storage of an additional set of history variables. The stability, accuracy, dissipation and dispersion characteristics of the scheme are assessed. The proposed scheme has improved dissipation properties when compared to the standard generalised-alpha scheme for second-order equations and it does not suffer from overshoot. These properties are demonstrated in a number of linear and nonlinear benchmark problems. This article represents a strong contribution to the area of solid dynamics. COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2017-11-20T10:10:42.9080925 2017-09-06T09:07:35.7204016 College of Engineering Engineering C. Kadapa 1 W.G. Dettmer 2 D. Perić 3 Djordje Peric 0000-0002-1112-301X 4 Wulf Dettmer 0000-0003-0799-4645 5 Chennakesava Kadapa 0000-0001-6092-9047 6 0035131-08092017102711.pdf kadapa2017(2).pdf 2017-09-08T10:27:11.8170000 Output 603555 application/pdf Accepted Manuscript true 2018-09-05T00:00:00.0000000 false eng
title On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
spellingShingle On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
Djordje, Peric
Wulf, Dettmer
Chennakesava, Kadapa
title_short On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
title_full On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
title_fullStr On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
title_full_unstemmed On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
title_sort On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems
author_id_str_mv 9d35cb799b2542ad39140943a9a9da65
30bb53ad906e7160e947fa01c16abf55
de01927f8c2c4ad9dcc034c327ac8de1
author_id_fullname_str_mv 9d35cb799b2542ad39140943a9a9da65_***_Djordje, Peric
30bb53ad906e7160e947fa01c16abf55_***_Wulf, Dettmer
de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava, Kadapa
author Djordje, Peric
Wulf, Dettmer
Chennakesava, Kadapa
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container_volume 193
container_start_page 226
publishDate 2017
institution Swansea University
issn 0045-7949
doi_str_mv 10.1016/j.compstruc.2017.08.013
college_str College of Engineering
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description The advantages of using the generalised-alpha scheme for first-order systems for computing the numerical solutions of second-order equations encountered in structural dynamics are presented. The governing equations are rewritten so that the second-order equations can be solved directly without having to convert them into state-space. The stability, accuracy, dissipation and dispersion characteristics of the scheme are discussed. It is proved through spectral analysis that the proposed scheme has improved dissipation properties when compared with the standard generalised-alpha scheme for second-order equations. It is also proved that the proposed scheme does not suffer from overshoot. Towards demonstrating the application to practical problems, proposed scheme is applied to the benchmark example of three degrees of freedom stiff-flexible spring-mass system, two-dimensional Howe truss model, and elastic pendulum problem discretised with non-linear truss finite elements.
published_date 2017-01-01T18:52:07Z
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