The effect of bandwidth on the accuracy of transfer function measurements of single degree of freedom system response to random excitation

1981 ◽  
Vol 74 (2) ◽  
pp. 251-263 ◽  
Author(s):  
A.W. Walker
Keyword(s):  
Transfer Function ◽  
Random Excitation ◽  
Degree Of Freedom ◽  
System Response ◽  
Single Degree Of Freedom ◽  
Single Degree

Probability Distribution of Bilinear System Response to Impulse Excitation

1966 ◽  
Vol 33 (2) ◽  
pp. 384-386
Author(s):  
Stephen F. Felszeghy ◽  
William T. Thomson
Keyword(s):  
Probability Distribution ◽  
Bilinear System ◽  
Degree Of Freedom ◽  
System Response ◽  
Single Degree Of Freedom ◽  
Peak Response ◽  
Single Degree ◽  
Impulse Excitation ◽  
Peak Value

A single-degree-of-freedom system with a bilinear spring is excited by a rectangular impulse of constant value, but whose amplitude has a probability distribution which is Gaussian. The peak response of the system under this excitation is determined, and its probability distribution is plotted as a function of its peak value.

Effect of Waveform on the Effectiveness of Tangential Dither Forces to Cancel Friction-Induced Oscillations

2005 ◽  
Author(s):  
Michael A. Michaux ◽  
Aldo A. Ferri ◽  
Kenneth A. Cunefare
Keyword(s):  
Numerical Integration ◽  
High Frequency ◽  
Frictional Contact ◽  
Degree Of Freedom ◽  
System Response ◽  
Periodic Signal ◽  
Method Of Averaging ◽  
Single Degree Of Freedom ◽  
Sdof System ◽  
Single Degree

High-frequency dither forces are often used to reduce unwanted vibration in frictional systems. This paper examines how the effectiveness of these dither-cancellation techniques is influenced by the type of periodic signal employed. The paper uses the method of averaging as well as numerical integration to study a single-degree-of-freedom (SDOF) system consisting of a mass in frictional contact with a translating surface. Recently, it was found that sinusoidal dither forces had the ability to stabilize or destabilize such a system, depending on the system and frictional characteristics as well as the amplitude and frequency of the dither signal [1]. This paper extends this analysis to general, periodic dither forces. In particular, the system response for sinusoidal dither waveforms is compared to that of triangular dither waveforms and square dither waveforms. It is found that, for a given amplitude and frequency of the dither signal, square waveforms are much more effective in canceling friction-induced oscillations than sinusoidal dither; likewise, sinusoidal waveforms are more effective than triangular waveforms for a given amplitude and frequency. A criterion is developed that relates the effectiveness of the waveform to the properties of the integral of the dither signal.

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