Abstract
In the present paper, the frictional oscillations in a mechanical driving system are studied theoretically on the self-excited and forced oscillations, when the friction-velocity characteristic curves are given as the combined curves of linear and hyperbolic functions and maximum static friction force is not an isolated point. Bodies acted upon by sinusoidal external force while sliding along a surface at a fixed velocity exhibit regular oscillations. We have analyzed these motions using an averaging method, without distinguishing between slipping and sticking. We have also examined the amplitude characteristic of motions found in the obtainable first approximations of the form of harmonic vibrations. Finally, we made a detailed investigation of the stability of these first approximations. Also, we have assembled the results of a comparison of the precise solutions for motions over a wide range of velocities where the kinetic velocity of the body exceeding the surface motion velocity, and we propose a usable theoretical analysis method, aimed at understanding the important aspects of regular harmonic solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 1697-1704 |
| Number of pages | 8 |
| Journal | Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |
| Volume | 67 |
| Issue number | 658 |
| DOIs | |
| Publication status | Published - 2001 |
| Externally published | Yes |
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Keywords
- Averaging Method
- Forced Vibration
- Frictional Vibration
- Limit Cycle
- Mechanical Driving System
- Nonlinear Vibration
- Piecewise Linear System
- Self-excited Oscillation
- Sliding Friction
- Sliding Surface
- Vibration
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering
Cite this
Self-excited and Forced Oscillations with Solid Friction : 1st Report, Solutions and Stabilities by Averaging Method in Case of Combined Friction-Velocity Characteristics of Linear and Hyperbolic Curves. / Takano, Eisuke; Kawaguti, Hidenobu; Zhang, Xiang Yong; Saeki, Masato.
In: Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 67, No. 658, 2001, p. 1697-1704.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Self-excited and Forced Oscillations with Solid Friction
T2 - 1st Report, Solutions and Stabilities by Averaging Method in Case of Combined Friction-Velocity Characteristics of Linear and Hyperbolic Curves
AU - Takano, Eisuke
AU - Kawaguti, Hidenobu
AU - Zhang, Xiang Yong
AU - Saeki, Masato
PY - 2001
Y1 - 2001
N2 - In the present paper, the frictional oscillations in a mechanical driving system are studied theoretically on the self-excited and forced oscillations, when the friction-velocity characteristic curves are given as the combined curves of linear and hyperbolic functions and maximum static friction force is not an isolated point. Bodies acted upon by sinusoidal external force while sliding along a surface at a fixed velocity exhibit regular oscillations. We have analyzed these motions using an averaging method, without distinguishing between slipping and sticking. We have also examined the amplitude characteristic of motions found in the obtainable first approximations of the form of harmonic vibrations. Finally, we made a detailed investigation of the stability of these first approximations. Also, we have assembled the results of a comparison of the precise solutions for motions over a wide range of velocities where the kinetic velocity of the body exceeding the surface motion velocity, and we propose a usable theoretical analysis method, aimed at understanding the important aspects of regular harmonic solutions.
AB - In the present paper, the frictional oscillations in a mechanical driving system are studied theoretically on the self-excited and forced oscillations, when the friction-velocity characteristic curves are given as the combined curves of linear and hyperbolic functions and maximum static friction force is not an isolated point. Bodies acted upon by sinusoidal external force while sliding along a surface at a fixed velocity exhibit regular oscillations. We have analyzed these motions using an averaging method, without distinguishing between slipping and sticking. We have also examined the amplitude characteristic of motions found in the obtainable first approximations of the form of harmonic vibrations. Finally, we made a detailed investigation of the stability of these first approximations. Also, we have assembled the results of a comparison of the precise solutions for motions over a wide range of velocities where the kinetic velocity of the body exceeding the surface motion velocity, and we propose a usable theoretical analysis method, aimed at understanding the important aspects of regular harmonic solutions.
KW - Averaging Method
KW - Forced Vibration
KW - Frictional Vibration
KW - Limit Cycle
KW - Mechanical Driving System
KW - Nonlinear Vibration
KW - Piecewise Linear System
KW - Self-excited Oscillation
KW - Sliding Friction
KW - Sliding Surface
KW - Vibration
UR - http://www.scopus.com/inward/record.url?scp=85024453738&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85024453738&partnerID=8YFLogxK
U2 - 10.1299/kikaic.67.1697
DO - 10.1299/kikaic.67.1697
M3 - Article
VL - 67
SP - 1697
EP - 1704
JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
SN - 0387-5024
IS - 658
ER -