An explicit time integration method for structural dynamics using cubic B-spline polynomial functions

被引：25

作者：

Rostami, S. ^{[1
]}

Shojaee, S. ^{[2
]}

Saffari, H. ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Civil Engn, Kerman Branch, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Dept Civil Engn, Kerman, Iran

来源：

SCIENTIA IRANICA | 2013年 / 20卷 / 01期

关键词：

Cubic B-spline; Direct integration; MDOF; Explicit; Stability; Accuracy; IMPROVED NUMERICAL DISSIPATION;

D O I：

10.1016/j.scient.2012.12.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a scheme where the cubic B-spline method is developed for Multi-Degrees-Of-Freedom (MDOF) systems. In the proposed approach, a straightforward formulation in a fluent manner was derived from the approximation of the response of the system with a B-spline basis. In this way, there is no need to use a special pre-starting procedure to commence solving the problem. A simple step-by-step algorithm is implemented and presented to calculate the dynamic response of MDOF systems. Stability and accuracy analyses have been done in this paper. The results of the accuracy investigation were compared with some other state of the art methods. Actually, this method lies in cases of conditionally stable methods. The validity and effectiveness of the proposed method is demonstrated with two examples. (C) 2013 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.

引用

页码：23 / 33

页数：11

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