An improved computational method in structural dynamics

Moradipour, Parviz, Noorzaei, Jamaloddin, Jaafar, Mohd Saleh, & Abdul Aziz, Farah Nora Aznieta (2013) An improved computational method in structural dynamics. Journal of Engineering, Design and Technology, 11(3), pp. 288-315.

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Abstract

Purpose – In structural, earthquake and aeronautical engineering and mechanical vibration, the solution of dynamic equations for a structure subjected to dynamic loading leads to a high order system of differential equations. The numerical methods are usually used for integration when either there is dealing with discrete data or there is no analytical solution for the equations. Since the numerical methods with more accuracy and stability give more accurate results in structural responses, there is a need to improve the existing methods or develop new ones. The paper aims to discuss these issues.

Design/methodology/approach – In this paper, a new time integration method is proposed mathematically and numerically, which is accordingly applied to single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems. Finally, the results are compared to the existing methods such as Newmark’s method and closed form solution.

Findings – It is concluded that, in the proposed method, the data variance of each set of structural responses such as displacement, velocity, or acceleration in different time steps is less than those in Newmark’s method, and the proposed method is more accurate and stable than Newmark’s method and is capable of analyzing the structure at fewer numbers of iteration or computation cycles, hence less time-consuming.

Originality/value – A new mathematical and numerical time integration method is proposed for the computation of structural responses with higher accuracy and stability, lower data variance, and fewer numbers of iterations for computational cycles.

Impact and interest:

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ID Code: 82985
Item Type: Journal Article
Refereed: Yes
Additional Information: This item was published when I was at Universiti Putra Malaysia (UPM) before joining QUT.
Additional URLs:
Keywords: Computational method, Direct timeintegration methods, Newmark’s method, Parviz’ method, Structural dynamics, Structural response
DOI: 10.1108/JEDT-01-2012-0002
ISSN: 1758-8901
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CIVIL ENGINEERING (090500) > Structural Engineering (090506)
Divisions: Current > Schools > School of Civil Engineering & Built Environment
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Emerald Group Publishing Limited
Copyright Statement: This article is (c) Emerald Group Publishing and permission has been granted for this version to appear here. Emerald does not grant permission for this article to be further copied/distributed or hosted elsewhere without the express permission from Emerald Group Publishing Limited
Deposited On: 31 Mar 2015 00:39
Last Modified: 30 Aug 2015 10:32

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