On the forced vibrations of an oscillator with a periodically time-varying mass

2010 ◽  
Vol 329 (6) ◽  
pp. 721-732 ◽  
Author(s):  
W.T. van Horssen ◽  
O.V. Pischanskyy ◽  
J.L.A. Dubbeldam
Keyword(s):  
Forced Vibrations ◽  
Time Varying ◽  
Varying Mass

On the Stability Properties of a Periodically Forced, Time-Varying Mass System

2009 ◽  
Author(s):  
W. T. van Horssen ◽  
O. V. Pischanskyy ◽  
J. L. A. Dubbeldam
Keyword(s):  
Periodic Solutions ◽  
Forced Vibrations ◽  
Time Varying ◽  
Mass System ◽  
Single Degree Of Freedom ◽  
Stability Properties ◽  
Single Degree ◽  
Existence Of Periodic Solutions ◽  
The Stability ◽  
Varying Mass

In this paper the forced vibrations of a linear, single degree of freedom oscillator (sdofo) with a time-varying mass will be studied. The forced vibrations are due to small masses which are periodically hitting and leaving the oscillator with different velocities. Since these small masses stay for some time on the oscillator surface the effective mass of the oscillator will periodically vary in time. Not only solutions of the oscillator equation will be constructed, but also the stability properties, and the existence of periodic solutions will be discussed.

Dynamic Analyzing the Vibro-Impact System with Time-Varying Mass

2011 ◽  
Vol 199-200 ◽  
pp. 865-869 ◽  
Author(s):  
Yan Zhu ◽  
Shu Lin Wang ◽  
Shi Shun Zhu
Keyword(s):  
Dynamic Performance ◽  
Viscous Damping ◽  
Time Varying ◽  
Bifurcation And Chaos ◽  
Impact System ◽  
Varying Mass

To effectively model and analyze the vibro-impact system with time-varying mass, we considered the discontinuous impacts as a continuous effect of stiffness and viscous damping acting on the system and studied the dynamic performance based on the theory of bifurcation and chaos. It is demonstrated that the system will experience a process of from period-one motion to chaos and again back to period-one motion when the system transit the resonance. Our results may find applications in impact vibrations coupled with dispersive matter.

Simulation of the Duffing-oscillator with time-varying mass by a BEM in time

1999 ◽  
Vol 73 (1-5) ◽  
pp. 177-186 ◽  
Author(s):  
H.J. Holl ◽  
A.K. Belyaev ◽  
H. Irschik
Keyword(s):  
Duffing Oscillator ◽  
Time Varying ◽  
Varying Mass
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