TY - JOUR ID - 3850 TI - Forced vibration analysis of a system equipped with the nonlinear displacement-dependent (NDD) damper JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Jahanpour, Javad AU - Porghoveh, Mojtaba AU - Ilbeigi, Shahab AD - Islamic Mashhad Branch, Azad University of Mashhad AD - Y1 - 2016 PY - 2016 VL - 23 IS - 2 SP - 633 EP - 647 KW - Nonlinear displacement-dependent (NDD) damper KW - Forced vibration analysis KW - Hard- and Soft- excitation KW - Multiple scales method KW - Vibration reduction DO - 10.24200/sci.2016.3850 N2 - In this paper, forced vibration analysis of a mass-spring system equipped with a nonlinear displacement-dependent (NDD) damper is elaborated. To this end, the nonlinear governing differential equation of the system is derived for two types of soft- and hard- periodic excitations. In order to obtain the displacement of the excited system, the approximate analytical solution of the governing equation is developed using the multiple scales method (MSM). The proposed analytical formulations are performed for several cases of hard- and soft-excitation and are also verified by the numerical fourth-order Runge-Kutta method. Moreover, the performance of the NDD damper is analyzed and compared with the traditional linear damper used in the both hard- and soft-excited vibration analyses. For a same external periodic force, a comparison has also been carried out between the responses of the hard- and soft-excitations. It is found that the organizing the external force based on its amplitude into two types as soft- and hard- excitation, leads to a better estimated response in the forced vibration analysis. Moreover, the NDD damper has a superior performance in reducing the vibration amplitude thorough tending to the steady-state solution compared to the traditional linear damper. UR - https://scientiairanica.sharif.edu/article_3850.html L1 - https://scientiairanica.sharif.edu/article_3850_d8ce54b4bf29264e57c9907a7145451e.pdf ER -