Abstract
AbstractWe analyze the dynamics of a nonlinear mechanical system under the influence of an external harmonic force. The system consists of a linear oscillator (primary mass) and attached nonlinear dynamic absorber. It is supposed that the frequency of the external force is close to the natural frequency of the main mass. Assuming that the parameters of the system are uncertain, the stability conditions of the stationary regimes of the averaged equations are obtained analytically; these regimes correspond to the quasi-periodic motions of the original input system. An analytical approach to the problem of selecting the parameters of a dynamic absorber is proposed in order to reduce the amplitude of oscillations of the main system. The results obtained are compared with the results of the numerical integration of the equations of the motion with different initial conditions and parameter values.
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering
Reference48 articles.
1. Frahm, H.: Device for damping vibrations of bodies (1911). US Patent 989958
2. Ormondroyd, J., Den Hartog, J.P.: Theory of the dynamic vibration absorber. Trans. Am. Soc. Mech. Eng. 50, 9–22 (1928)
3. Den Hartog, J.P.: Mechanical Vibrations. McGraw-Hill, New York (1934)
4. Brock, J.E.: A note on the damped vibration absorber. Trans. ASME J. Appl. Mech. 13, A-284 (1946)
5. Roberson, R.E.: Synthesis of a nonlinear dynamic vibration absorber. J. Frankl. Inst. 254, 205–17220 (1952)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献