Nonlinear Dynamics of a Wheeled Vehicle

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Springer Science & Business Media, Mar 3, 2005 - Technology & Engineering - 328 pages
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition, and quality. The number of such vehicles, including automobiles and all manner of trucks, increases continually with a growing positive impact on accessibility and a growing negative impact on interactions among humans and their relationship to the surrounding environment. This multiplicity of vehicles, through their physical impact and their emissions, is responsible for, among other negative results: waste of energy, pollution through emission of harmful compounds, degradation of road surfaces, crowding of roads leading to waste of time and increase of social stress, and decrease in safety and comfort. In particular, the safety of vehicular traffic depends on a man-vehicle-road system that includes both active and passive security controls. In spite of the drawbacks mentioned above, the governments of almost every country in the world not only expect but facilitate improvements in vehicular transport performance in order to increase such parameters as load capacity and driving velocity, while decreasing such parameters as costs to passengers, energy resources investments, fuel consumption, etc. Some of the problems have clear, if not always easily attainable, solutions.
 

Contents

INTRODUCTION
11
2 Historical Reference
17
THE PRINCIPLES OF THE THEORY OF STABILITY
27
2 Stability in Lyapunovs Sense
29
21 Lyapunovs functions and Lyapunovs second method
39
3 Stability in Lagranges Sense
50
4 Stability in Poincares SenseOrbital Stability
51
5 Stability in Poissons Sense
53
3 Shimmy
173
VERTICAL DYNAMICS
183
2 Analysis of Suspension Vibrations
193
TRANSVERSAL TILT DYNAMICS
211
2 Roll of a Vehicle Body Instantaneous Roll Centre and Stability
224
LONGITUDINAL TILT DYNAMICS
237
2 Dynamics of a Longitudinal Tilt of a Road Vehicle with a Semitrailer trailer
242
ROAD WHEEL ROTATIONAL DYNAMICS
251

7 Stability in Szpunars Sense
60
8 General Stability Estimation
62
82 Linear System
63
83 NonLinear System
65
AN INTRODUCTION TO STABILITY OF A WHEELED VEHICLE
73
2 A Wheeled Car Stability
74
22 Dynamics of an Elastic Tire and Stability of a Wheeled Car
75
3 Pneumatic Tire Properties
77
31 Tire Characteristics
79
32 Tires modelling
84
4 Travelling System Model
92
5 Introduction to Stability of a Moving Car
99
LONGITUDINAL DYNAMICS
103
2 Longitudinal Tank Vehicle Dynamics
113
A TRANSVERSAL DYNAMICS
127
12 The Road Vehicle Properties
133
13 Stability Investigation of a Two Axle Wheeled Vehicle
137
2 Stability of Wheeled Articulated Vehicles
146
21 Articulated Vehicle Model
148
22 Stability in the Lyapunov Sense
154
23 Stability in the Sense of Bogusz
156
DriverVehicle
164
2 The Driven Road Wheel Rotational Motion
258
22 The Driven Road Wheel Rotational Motion Two Axle Vehicle
261
MODELING OF A PISTON CONNECTING ROD CRANKSHAFT SYSTEM
269
2 The Model of a Rigid MultiBody Mechanical System With Unilateral Frictionless Constraints
270
3 Generalized Impact Law
271
4 Sliding States Along Some Obstacles
273
5 Computational Model
274
7 Piston Connecting Rod Crankshaft System
278
8 Numerical Examples
286
MODELING OF A DUOSERVO BRAKE
295
2 The Modeled System With Friction
298
3 Numerical Analysis
300
32 Phase Spaces
302
34 Bifurcation Diagrams
305
35 Lagrange Interpolation and Lyapunov Exponents
307
4 Experimental Investigations
308
41 Results of Experimental Measurements
310
42 Friction Force Model
311
43 Comparisons
315
REFERENCES
319
INDEX
325
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