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The Wheel Shimmy Phenomenon: A theoretical and experimental investigation with particular reference to the non-linear problem
by Pacejka, Hans B
- Used
- Paperback
- Condition
- Good+ condition - label on front cover, several passages have been underlined/none
- Seller
-
Coeur d'Alene, Idaho, United States
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About This Item
The Wheel Shimmy Phenomenon
A theoretical and experimental investigation with particular reference to the non-linear problem
Author: Pacejka, H.B. (Faculty: Mechanical, Maritime and Materials Engineering)Contributor: De Pater, A.D. (promotor), Van Eldik Thieme, H.C.A. (promotor) Publisher: H.B. Pacejka (1966-12-14)Document type: Doctoral thesisPaperback5 1/4 x 9.1 inches, 192 pages
Hans Bastiaan Pacejka (born 1934; died September 2017) was an expert in vehicle system dynamics and particularly in tire dynamics, fields in which his works are now standard references. He was Professor emeritus at Delft University of Technology in Delft, Netherlands.
Pacejka has developed a series of tire design models over the last 20 years. They were named the 'magic formula' because there is no particular physical basis for the structure of the equations chosen, but they fit a wide variety of tire constructions and operating conditions. Each tire is characterized by 10–20 coefficients for each important force that it can produce at the contact patch, typically lateral and longitudinal force, and self-aligning torque, as a best fit between experimental data and the model. These coefficients are then used to generate equations showing how much force is generated for a given vertical load on the tire, camber angle and slip angle.
The Pacejka tire models are widely used in professional vehicle dynamics simulations, and racing car games, as they are reasonably accurate, easy to program, and solve quickly. A problem with Pacejka's model is that when implemented into computer code, it doesn't work for low speeds (from around the pit-entry speed), because a velocity term in the denominator makes the formula diverge. An alternative to Pacejka tire models are brush tire models, which can be analytically derived, although empirical curve fitting is still required for good correlation, and they tend to be less accurate than the MF models.------------------------The shimmy phenomenon has been treated as a non-linear problem which is solved using the method of equivalent linearization and also with the aid of an analogue computer. Three non-linear elements are considered: the tyre characteristics, the Coulomb friction in the king-pin bearings, and clearance in the wheel bearings. The theory is substantiated by experiments with a test vehicle and a mechanical model. Two different kinds of shimmy appear to exist, one originating from the tyre elasticity and the other from the gyroscopic coupling. Results showing the effect of changing a number of important parameters on the shimmy phenomenon are presented.
A theoretical and experimental investigation with particular reference to the non-linear problem
Author: Pacejka, H.B. (Faculty: Mechanical, Maritime and Materials Engineering)Contributor: De Pater, A.D. (promotor), Van Eldik Thieme, H.C.A. (promotor) Publisher: H.B. Pacejka (1966-12-14)Document type: Doctoral thesisPaperback5 1/4 x 9.1 inches, 192 pages
Hans Bastiaan Pacejka (born 1934; died September 2017) was an expert in vehicle system dynamics and particularly in tire dynamics, fields in which his works are now standard references. He was Professor emeritus at Delft University of Technology in Delft, Netherlands.
Pacejka has developed a series of tire design models over the last 20 years. They were named the 'magic formula' because there is no particular physical basis for the structure of the equations chosen, but they fit a wide variety of tire constructions and operating conditions. Each tire is characterized by 10–20 coefficients for each important force that it can produce at the contact patch, typically lateral and longitudinal force, and self-aligning torque, as a best fit between experimental data and the model. These coefficients are then used to generate equations showing how much force is generated for a given vertical load on the tire, camber angle and slip angle.
The Pacejka tire models are widely used in professional vehicle dynamics simulations, and racing car games, as they are reasonably accurate, easy to program, and solve quickly. A problem with Pacejka's model is that when implemented into computer code, it doesn't work for low speeds (from around the pit-entry speed), because a velocity term in the denominator makes the formula diverge. An alternative to Pacejka tire models are brush tire models, which can be analytically derived, although empirical curve fitting is still required for good correlation, and they tend to be less accurate than the MF models.------------------------The shimmy phenomenon has been treated as a non-linear problem which is solved using the method of equivalent linearization and also with the aid of an analogue computer. Three non-linear elements are considered: the tyre characteristics, the Coulomb friction in the king-pin bearings, and clearance in the wheel bearings. The theory is substantiated by experiments with a test vehicle and a mechanical model. Two different kinds of shimmy appear to exist, one originating from the tyre elasticity and the other from the gyroscopic coupling. Results showing the effect of changing a number of important parameters on the shimmy phenomenon are presented.
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Details
- Bookseller
- Worldwide Collectibles
(US)
- Bookseller's Inventory #
- 912201803
- Title
- The Wheel Shimmy Phenomenon
- Author
- Pacejka, Hans B
- Book Condition
- Used - Good+ condition - label on front cover, several passages have been underlined
- Jacket Condition
- none
- Quantity Available
- 1
- Binding
- Paperback
- Publisher
- H.B. Pacejka
- Date Published
- 1966
- Weight
- 0.00 lbs
- Keywords
- Non-linear problems, mathematics, tire shimmy
- Size
- 5 1/4 x 9.1 inches, 192 pages
Terms of Sale
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Payments are expected within 10 days unless prior arrangements are made.
About the Seller
Worldwide Collectibles
Biblio member since 2001
Coeur d'Alene, Idaho
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