عنوان Structural health monitoring through nonlinear frequency-based approaches for conservative vibratory systems عنوان مجله STRUCTURAL ENGINEERING AND MECHANICS نوع پژوهش مقاله چاپ شده کلیدواژهها Hamiltonian Approach (HA); nonlinear vibration; analytical solution; Runge-Kutta’s algorithm چکیده This paper proposes a new approximate analytical solution for highly nonlinear vibration of mechanical systems called Hamiltonian Approach (HA) that can be widely use for structural health monitoring systems. The complete procedure of the HA approach is studied, and the precise application of the presented approach is surveyed by two familiar nonlinear partial differential problems. The nonlinear frequency of the considered systems is obtained. The results of the HA are verified with the numerical solution using Runge-Kutta’s [RK] algorithm. It is established the only one iteration of the HA leads us to the high accurateness of the solution. پژوهشگران محمودبیات (نفر اول)، ایمانپاکار (نفر دوم)، حمیدرضااحمدی (نفر سوم)، ماوسنکاو (نفر چهارم)، امیرعلوی (نفر پنجم)