نوع مقاله : علمی - پژوهشی
نویسندگان
1 استادیار، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه بناب، بناب، ایران
2 کارشناسی ارشد مهندسی سازه، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه بناب، بناب، ایران
3 دانشجوی کارشناسی ارشد مهندسی و مدیریت ساخت، گروه مهندسی عمران و محیط زیست، دانشگاه صنعتی امیرکبیر، تهران، ایران
چکیده
کلیدواژه‌ها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
This paper presents an efficient numerical analysis method called the Newton-Cotes-Hermite-Four-Point (NCH-4P) method for the time history analysis of structural systems with one and multiple degrees of freedom under earthquake effect. The method combines the numerical integration formula of the Newton-Cotes four-point method with the Hermite interpolation formulas to form a new algorithm for solving the vibration equation. The method can handle both linear and nonlinear systems, as well as different types of loading, such as external forces and earthquake excitation. The method is developed for the first time for the analysis of linear and nonlinear damped and undamped structural systems with one and multiple degrees of freedom. The method shows remarkable performance superiority in terms of accuracy, speed, convergence and simplicity compared to the pseudo-analytical Newmark-beta method and the semi-analytical Duhamel integral method. The method modifies the differential equation of motion to have a suitable form for numerical integration. Unlike the nonlinear Newmark-beta method, the method does not require an independent process such as Newton’s iteration to account for nonlinear effects; instead, a series of simple repeated calculations leads to the convergence of the response in nonlinear behavior. The numerical results demonstrate the efficiency of the method in estimating the response of systems under the famous EL-Centro record.
کلیدواژه‌ها [English]
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