An Efficient Method for Dynamic Analysis of Spatial Trusses Using Legendre Wavelets

作者：Mahdavi Seyed Hossein; Razak Hashim Abdul^*

来源：ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2016, 41(4): 1451-1460.

DOI：10.1007/s13369-015-1993-2

• Spatial trusses
• Numerical time integration
• Free-scaled wavelets
• Legendre wavelet
• Optimum dynamic analysis

This paper introduces a procedure where the free-scaled Legendre wavelets are improved for dynamic analysis of spatial trusses. The operational matrices of integration for free scales of Legendre wavelets are presented and applied for time history analysis. For this aim, a clear-cut formulation is derived from decomposition of the only transitional responses of structures. The free-scaled operational matrices of Legendre wavelets accurately transfer the second-ordered differential equations of motion into the corresponding algebraic equations. Accordingly, a simple procedure is developed to compute dynamic responses of large-scaled spatial trusses. The applicability and effectiveness of the proposed procedure using Legendre wavelets are demonstrated with two numerical applications. Subsequently, results were compared with those from common time integration schemes such as Wilson-theta, Newmark-beta, central difference and Duhamel integration methods. It is deduced that because of the inherent shape functions of Legendre wavelets the dynamic analysis is optimally achieved with the highest accuracy, best computational competency and with the lowest storage capacity.

• 出版日期2016-4