On the motion of a harmonically excited damped spring pendulum in an elliptic path

被引：46

作者：

Amer, T. S. ^{[1
]}

Bek, M. A. ^{[2
,3
]}

Abohamer, M. K. ^{[2
,3
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta 3127, Egypt

[2] Horus Univ, Dept Basic Sci, Fac Engn, Dumyat 34518, Egypt

[3] Tanta Univ, Fac Engn, Dept Phys & Engn Math, Tanta 31734, Egypt

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2019年 / 95卷

关键词：

Vibrating systems; Resonances; Solvability conditions; Multiple scales technique; Rigid body dynamics; ASYMPTOTIC ANALYSIS; RESONANCES; VIBRATION; SYSTEM;

D O I：

10.1016/j.mechrescom.2018.11.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this work the problem of a nonlinear damped spring pendulum in which the motion of its pivot point in an elliptical path is investigated. The second end of the spring is connected with the body. A linear force acting along the pendulum arm besides two anticlockwise moments; one at the suspension point of the body with the damped spring and the other at the pivot point. One of the important perturbation techniques called the multiple scales (MS) technique is utilized to obtain the approximate solutions of the governing equations of motion till the third approximation. The modulation equations and the solvability conditions are obtained in view of the emerging resonance cases. The time history and the resonances curves are performed in some plots to show the good effect of the physical parameters on the behavior of the considered dynamical model. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：23 / 34

页数：12

共 26 条

[11]

Eissa M., 2006, Mathematical & Computational Applications, V11, P137

[12] Vibration reduction of a three DOF non-linear spring pendulum [J].