کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
510133 865744 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient backward Euler time-integration method for nonlinear dynamic analysis of structures
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An efficient backward Euler time-integration method for nonlinear dynamic analysis of structures
چکیده انگلیسی

This paper presents an efficient time-integration method for obtaining reliable solutions of the transient nonlinear dynamic problems and of the stiff systems in structural engineering. This method employs the backward Euler formulae for evaluating both displacements and velocities of structures. It is a self-starting, two-step, second-order accurate algorithm with the same computational effort as the trapezoidal rule. The evaluations of the stability and accuracy of the proposed method are also given in this paper. With some numerical damping introduced, the proposed method remains stable in large deformation and long time range solutions even when the trapezoidal rule fails. Meanwhile, the proposed method has the following characteristics: (1) it is applicable to linear as well as general nonlinear analyses; (2) it does not involve additional variables (e.g. Lagrange multipliers) and artificial parameters; (3) it is a single-solver algorithm at the discrete time points with symmetric effective stiffness matrix and effective load vectors; and (4) it is easy to implement in an existing computational software. Some numerical results indicate that the proposed method is a powerful tool with some notable features for practical nonlinear dynamic analyses.


► An efficient backward Euler time-integration method.
► A self-starting, two-step, second-order accurate algorithm.
► A-stability method for stiff problems.
► No additional variables and artificial parameters.
► Easy implementation in an existing computational software.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Structures - Volumes 106–107, September 2012, Pages 20–28
نویسندگان
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