نوع مقاله : مقاله پژوهشی
نویسندگان
1 گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه بناب، بناب، ایران
2 دانشکده مهندسی عمران و محیط زیست، دانشگاه صنعتی امیرکبیر، تهران، ایران
چکیده
کلیدواژهها
عنوان مقاله [English]
نویسندگان [English]
The dynamic behavior of structures under seismic loading is a critical consideration in civil engineering, requiring accurate and efficient analytical methods. Nonlinear time history analysis methods, which involve solving the structure's motion equations over time, serve as valuable tools in this regard. These methods consist of two key components: an acceleration model for each step and a numerical integration technique for tackling nonlinear equations. This research presents an effective formulation for nonlinear dynamic analysis of structures, referred to as the Gauss-Legendre-Hermit-3P Method. It's based on the implicit three-point Gauss integration rule and employs third-order Hermite interpolation for approximating intermediate steps. The proposed formula can analyze nonlinear geometric and material systems and handle various loading patterns. To evaluate the performance of this formulation, a series of linear and nonlinear systems were subjected to the El-Centro earthquake record and analyzed. The results obtained from the analyses of the new method were compared with those of other commonly used methods, including the semi-analytical Duhamel integral method, the pseudo-analytical Newmark-beta method, and the Wilson-theta method. The proposed formulation exhibits a significant advantage over other methods in terms of accuracy, stability, convergence, and computational cost. It can be seamlessly implemented into finite element software and employed for nonlinear time history analysis of single-degree-of-freedom and multi-degree-of-freedom structures.
کلیدواژهها [English]
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