On the nonlinear dynamics of a single degree of freedom oscillator with a time-varying mass

2012 ◽  
Vol 331 (8) ◽  
pp. 1887-1897 ◽  
Author(s):  
O.V. Pischanskyy ◽  
W.T. van Horssen
Keyword(s):  
Nonlinear Dynamics ◽  
Degree Of Freedom ◽  
Time Varying ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
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.

Resonance Classification in a Cubic System

1971 ◽  
Vol 38 (3) ◽  
pp. 585-590 ◽  
Author(s):  
D. J. Ness
Keyword(s):  
Stability Analysis ◽  
Parametric Excitation ◽  
Degree Of Freedom ◽  
Time Varying ◽  
Single Degree Of Freedom ◽  
Weakly Nonlinear ◽  
Single Degree ◽  
Resonance Phenomena ◽  
Cubic System

A weakly nonlinear, single-degree-of-freedom cubic system subject simultaneously to a time-varying force and parametric excitation is considered. The various types of resonance phenomena exhibited by the system are classified and a detailed stability analysis is presented for one case of particular interest.

Kinematic comparison of single degree-of-freedom robotic gait trainers

2021 ◽  
Vol 159 ◽  
pp. 104258
Author(s):  
Jeonghwan Lee ◽  
Lailu Li ◽  
Sung Yul Shin ◽  
Ashish D. Deshpande ◽  
James Sulzer
Keyword(s):  
Degree Of Freedom ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Robotic Gait
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