Response of Linear Systems to Magnitude Limited Random Excitation

1969 ◽  
Vol 91 (4) ◽  
pp. 991-996 ◽  
Author(s):  
P. Y. Hu
Keyword(s):  
Linear Systems ◽  
Gaussian Distribution ◽  
Random Vibration ◽  
Random Excitation ◽  
Experimental Results ◽  
Single Degree Of Freedom ◽  
Physical Systems ◽  
Single Degree ◽  
Random Source ◽  
Instantaneous Values

In many situations, encountered both in the field and in the laboratory, the excitation produced by a broadband random source has many of the characteristics of a signal having a Gaussian distribution of instantaneous values except that the higher values predicted by the theory do not appear. Therefore, in all cases, physical systems are really excited by a magnitude limited Gaussian random vibration rather than a strictly Gaussian random vibration. Analytical as well as experimental results on the response of the single-degree-of-freedom system subject to magnitude limited random vibration are presented.

scholarly journals Experimental investigation of a single-degree-of-freedom system with Coulomb friction

2020 ◽  
Vol 99 (3) ◽  
pp. 1781-1799
Author(s):  
Luca Marino ◽  
Alice Cicirello
Keyword(s):  
Experimental Investigation ◽  
Degree Of Freedom ◽  
Experimental Results ◽  
Systematic Observation ◽  
Stick Slip ◽  
Friction Forces ◽  
Single Degree Of Freedom ◽  
Sdof System ◽  
Single Degree ◽  
Set Up

AbstractThis paper presents an experimental investigation of the dynamic behaviour of a single-degree-of-freedom (SDoF) system with a metal-to-metal contact under harmonic base or joined base-wall excitation. The experimental results are compared with those yielded by mathematical models based on a SDoF system with Coulomb damping. While previous experiments on friction-damped systems focused on the characterisation of the friction force, the proposed approach investigates the steady response of a SDoF system when different exciting frequencies and friction forces are applied. The experimental set-up consists of a single-storey building, where harmonic excitation is imposed on a base plate and a friction contact is achieved between a steel top plate and a brass disc. The experimental results are expressed in terms of displacement transmissibility, phase angle and top plate motion in the time and frequency domains. Both continuous and stick-slip motions are investigated. The main results achieved in this paper are: (1) the development of an experimental set-up capable of reproducing friction damping effects on a harmonically excited SDoF system; (2) the validation of the analytical model introduced by Marino et al. (Nonlinear Dyn, 2019. https://doi.org/10.1007/s11071-019-04983-x) and, particularly, the inversion of the transmissibility curves in the joined base-wall motion case; (3) the systematic observation of stick-slip phenomena and their validation with numerical results.

Design of an Active-Vibration System Based on Sky-Hook Damper and Impedance Control

2013 ◽  
Vol 416-417 ◽  
pp. 860-865
Author(s):  
Wu Sung Yao ◽  
Po Wen Hsueh ◽  
Mi Ching Tsai
Keyword(s):  
Impedance Control ◽  
Low Frequency ◽  
Control Design ◽  
Experimental Results ◽  
Vibration System ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Low Frequency Vibration ◽  
Model Reference Control ◽  
Active Vibration

This paper investigates an active anti-vibration system, and the isolation of low-frequency vibration is studied. A model reference control of the anti-vibration system with a sky-hook damper and impedance control is analyzed. An illustrated example of a single-degree-of-freedom anti-vibration system driven by a tubular linear servomotor is given to verify the performance of the proposed control design. Experimental results are given to show that the peak resonance value of 0dB within a frequency of 10Hz can be achieved successively.

The Active Control of Forced Vibration Produced by Arbitrary Disturbances

1985 ◽  
Vol 107 (1) ◽  
pp. 33-37 ◽  
Author(s):  
J. S. Burdess ◽  
A. V. Metcalfe
Keyword(s):  
Vibration Control ◽  
Active Control ◽  
Forced Vibration ◽  
Disturbance Observer ◽  
Degree Of Freedom ◽  
Experimental Results ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Impact Forces ◽  
Mass Spring

This paper considers the vibration control of a single degree of freedom mass-spring-damper system when subjected to an arbitrary, unmeasurable disturbance. The idea of a disturbance observer is introduced and it is shown how an estimate of the excitation can be derived and used to generate a control, which reduces the vibration. This control is shown to be robust with respect to the parameters describing the behavior of the system. Experimental results are presented which show the efficacy of the method when the system is excited by periodic, random, and impact forces. Comments are made on the application of the method.

scholarly journals Numerical simulation of a wind excited quasi-periodic regime of a stochastic van der Pol-type equation

2020 ◽  
Vol 313 ◽  
pp. 00044
Author(s):  
Cyril Fischer ◽  
Jiří Náprstek
Keyword(s):  
Numerical Simulation ◽  
Experimental Investigation ◽  
Type Equation ◽  
Random Excitation ◽  
Periodic Regime ◽  
Van Der Pol ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Configuration Parameter ◽  
Slender Structure

The contribution regards a mathematical single-degree-of-freedom model of a slender structure vibrating in an air flow. Based on an experimental investigation, movement of such structures can be expressed by van der PolDuffing-type equations. Several particular configuration parameter settings for a white and non-white Gaussian random excitation together with deterministic harmonic forcing are considered and numerically analysed. The results support recently published analytic formulas.

An Analogue Simulation of the Nonlinear Vibration of a Plate with a Central Opening Subjected to Tension Loading

1981 ◽  
Vol 23 (2) ◽  
pp. 103-106 ◽  
Author(s):  
P. K. Datta
Keyword(s):  
Random Excitation ◽  
Analogue Computer ◽  
Nonlinear Stiffness ◽  
Single Degree Of Freedom ◽  
Response Characteristics ◽  
Single Degree ◽  
Central Opening ◽  
Frequency Response Characteristics ◽  
Stiffness Characteristics ◽  
Tension Loading

The complicated, nonlinear stiffness characteristics of a tensioned plate with a central opening are studied via analogue computer simulation. Associated frequency response characteristics and statistical properties of the response to random excitation are examined using a single degree of freedom model.

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