Stick-Slip Chaotic Oscillations in a Quasi-Autonomous Mechanical System

2003 ◽  
Vol 4 (2) ◽  
Author(s):  
J. Awrejcewicz ◽  
L. Dzyubak
Keyword(s):  
Mechanical System ◽  
Chaotic Oscillations ◽  
Stick Slip

Stick-Slip Chaos in a Non-Ideal Self-Excited System

2003 ◽  
Author(s):  
B. R. Pontes ◽  
J. M. Balthazar ◽  
V. A. Oliveira
Keyword(s):  
Power Supply ◽  
Dry Friction ◽  
Dynamic Structure ◽  
Oil Well ◽  
Chaotic Oscillations ◽  
Stick Slip ◽  
Excited System ◽  
Limited Power ◽  
Limited Power Supply ◽  
And Control

In engineering practical systems the excitation source is generally dependent on the system dynamic structure. In this paper we analyze a self-excited oscillating system due to dry friction which interacts with an energy source of limited power supply (non ideal problem). The mechanical system consists of an oscillating system sliding on a moving belt driven by a limited power supply. In the oscillating system considered here, dry friction acts as an excitation mechanism for stick-slip oscillations. The stick-slip chaotic oscillations are investigated because the knowledge of their dynamic characteristics is an important step in system design and control. Many engineering systems present stick-slip chaotic oscillations such as machine tools, oil well drillstrings, car brakes and others.

Modeling Mechanical Stick-Slip Friction Using Electrical Circuit Analysis

1988 ◽  
Vol 110 (4) ◽  
pp. 440-443 ◽  
Author(s):  
Paul J. Kolston
Keyword(s):  
Mechanical System ◽  
Mechanical Systems ◽  
Electrical Circuit ◽  
Circuit Analysis ◽  
New Technique ◽  
Analysis Program ◽  
Stick Slip ◽  
A New Technique ◽  
Vast Range

A new technique for modeling stick-slip friction in mechanical systems is proposed. The technique uses an electrical circuit analysis program to analyze the electrical circuit equivalent of the mechanical system. The stick-slip characteristic can be altered to take almost any form. The method is easy to apply to a vast range of systems, and two examples are given to illustrate its validity.

Stick Slip Stability by Transfer Lubrication

1978 ◽  
Vol 192 (1) ◽  
pp. 259-268 ◽  
Author(s):  
G. Cockerham ◽  
G. R. Symmons
Keyword(s):  
Cast Iron ◽  
Mechanical System ◽  
Surface Finish ◽  
Experimental Results ◽  
Stick Slip ◽  
Vibratory Motion ◽  
Effective Transfer ◽  
Slip Motion

A transfer lubrication technique has been used successfully in stabilising the vibratory motion of a mechanical system subject to stick slip. The most effective transfer lubricants were found to be p.t.f.e. and graphite lubricating steel on steel and cast iron on cast iron junctions respectively. In addition the effectiveness of three different surface finish conditions for the slideway has been examined. Experimental results are shown to correlate well with current stability theories and also indicate the practical limitations of the transfer lubrication technique in converting stick slip to a steady continuous slip motion.

scholarly journals Force Amplification Mechanism for Increased Stroke and Speed Responses of Piezoelectric Stick-Slip Miniaturized Linear Motor

Proceedings ◽  
2020 ◽  
Vol 64 (1) ◽  
pp. 17
Author(s):  
Hussam Kloub
Keyword(s):  
Mechanical System ◽  
Linear Motor ◽  
System Model ◽  
Stick Slip ◽  
Mechanical Advantage ◽  
Output Displacement ◽  
Maximum Expansion ◽  
Preliminary Results ◽  
Mode Configuration ◽  
Amplification Mechanism

In this paper, a mechanical system model based on Simulink software was developed for a proposed design for a stick-slip motor. Only the orientation of a cubic PZT element identifies the mode configuration of the motor. The preliminary results showed that force amplification mode exhibited roughly five times more speed, at one-hundred times more loading force, compared to the displacement amplification mode. Interestingly, when the output displacement was compared to maximum expansion of mechanical advantage mechanism, then the force amplification mode showed displacement amplification.

MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS

1999 ◽  
Vol 09 (03) ◽  
pp. 505-518 ◽  
Author(s):  
J. AWREJCEWICZ ◽  
M. M. HOLICKE
Keyword(s):  
Numerical Simulation ◽  
Chaotic Dynamics ◽  
Mechanical Systems ◽  
Degree Of Freedom ◽  
Chaotic Oscillations ◽  
Stick Slip ◽  
Melnikov's Method ◽  
Melnikov’S Method

In this paper we predict stick–slip chaotic dynamics in a one-degree-of-freedom very weakly forced (quasiautonomous) oscillator using the Melnikov's technique. Numerical simulation confirms the validity of our approach.

MECHANICAL STICK-SLIP VIBRATIONS

1995 ◽  
Vol 05 (03) ◽  
pp. 637-651 ◽  
Author(s):  
U. GALVANETTO ◽  
S.R. BISHOP ◽  
L. BRISEGHELLA
Keyword(s):  
Phase Space ◽  
Three Dimensional ◽  
Basins Of Attraction ◽  
Global Dynamics ◽  
Chaotic Oscillations ◽  
Stick Slip ◽  
One Dimensional ◽  
Dimensional Phase Space ◽  
The One ◽  
Two Degree Of Freedom

In this paper we consider the behavior of a two degree-of-freedom mechanical system incorporating static and dynamic friction, assumed to be a decreasing function of the relative sliding velocity. The model consists of two blocks linked by springs, which ride upon a moving belt. The dynamics of the system are described within a four-dimensional phase space. A three-dimensional Poincaré map is discussed together with a simpler one-dimensional map of a scalar variable. Considering the one-dimensional map it is possible to study all the attractors of the system for small belt velocities including the construction of one-dimensional basins of attraction. Thus, albeit in a partial zone of the control-phase space, the global dynamics of the system can be characterized displaying periodic, quasi-periodic and chaotic oscillations.

ON STICK–SLIP HOMOCLINIC CHAOS AND BIFURCATIONS IN A MECHANICAL SYSTEM WITH DRY FRICTION

2001 ◽  
Vol 11 (07) ◽  
pp. 2019-2029 ◽  
Author(s):  
B. R. PONTES ◽  
V. A. OLIVEIRA ◽  
J. M. BALTHAZAR
Keyword(s):  
Mechanical System ◽  
Dry Friction ◽  
Chaotic Behavior ◽  
Prediction Method ◽  
Phase Portraits ◽  
Frequency Spectra ◽  
Stick Slip ◽  
Potential Wells ◽  
Homoclinic Chaos ◽  
Belt System

In this paper we consider a self-excited mechanical system by dry friction in order to study the bifurcational behavior of the arisen vibrations. The oscillating system consists of a mass block-belt-system which is self-excited by static and Coulomb friction. We analyze the system behavior numerically through bifurcation diagrams, phase portraits, frequency spectra and Poincaré maps, which show the existence of nonhomoclinic and homoclinic chaos and a route to homoclinic chaos. The homoclinic chaos is also analyzed analytically via the Melnikov prediction method. The system dynamic is characterized by the existence of two potential wells in the phase plane which exhibit rich bifurcational and chaotic behavior.

Study of the dynamics of ТПА 350 automatic mill working stand elements

2020 ◽  
Vol 76 (8) ◽  
pp. 830-840
Author(s):  
S. R. Rakhmanov ◽  
V. V. Povorotnii
Keyword(s):  
Mechanical System ◽  
Dynamic Model ◽  
Maximum Amplitude ◽  
Calculation Scheme ◽  
Dynamic Loads ◽  
Forced Oscillations ◽  
Mass Model ◽  
Automatic Mill ◽  
Hollow Billet ◽  
Oscillation Movement

To form a necessary geometry of a hollow billet to be rolled at a pipe rolling line, stable dynamics of the base equipment of the automatic mill working stand has a practical meaning. Among the forces, acting on its parts and elements, significant by value short-time dynamic loads are the least studied phenomena. These dynamic loads arise during transient interaction of the hollow billet, rollers, mandrel and other mill parts at the forced grip of the hollow billet. Basing of the calculation scheme and dynamic model of the mechanical system of the ТПА 350 automatic mill working stand was accomplished. A mathematical model of dynamics of the system “hollow billet (pipe) – working stand” within accepted calculation scheme and dynamic model of the mechanical system elaborated. Influence of technological load of the rolled hollow billet variation in time was accounted, as well as variation of the mechanical system mass, and rigidity of the ТПА 350 automatic mill working stand. Differential equations of oscillation movement for four-mass model of forked sub-systems of the automatic mill working stand were made up, results of their digital calculation quoted. Dynamic displacement of the stand elements in the inter-roller gap obtained, which enabled to estimate the results of amplitude and frequency characteristics of the branches of the mill rollers setting. It was defined by calculation, that the maximum amplitude of the forced oscillations of elements of the ТПА 350 automatic mill working stand within the inter-roller gap does not exceed 2 mm. It is much higher than the accepted value of adjusting parameters of the deformation center of the ТПА 350 automatic mill. A scheme of comprehensive modernization of the rollers setting in the ТПА 350 automatic mill working stand was proposed. It was shown, that increase of rigidity of rollers setting in the ТПА 350 automatic mill working stand enables to stabilize the amplitude of forced oscillations of the working stand elements within the inter-rollers gap and considerably decrease the induced nonuniform hollow billet wall thickness and increase quality of the rolled pipes at ТПА 350.

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