By Karl Popp
ISBN-10: 3540240381
ISBN-13: 9783540240389
Ground car Dynamics is dedicated to the mathematical modelling and dynamical research of flooring motor vehicle platforms composed of the motor vehicle physique, the information and suspension units and the corresponding guideway. cars on asymmetric roads and railways on versatile tracks are famous representatives of floor automobile structures. these types of other kinds of platforms are taken care of in a typical approach by way of analytical dynamics and regulate concept. as well as a close modelling of cars as multibody platforms, the touch idea for rolling wheels and the modelling of guideways through finite aspect structures in addition to stochastic techniques are awarded. As a specific results of this built-in technique the kingdom equations of the worldwide structures are acquired together with the entire interactions among the subsystems regarded as self sufficient modules. the basics of auto dynamics for longitudinal, lateral and vertical motions and vibrations of vehicles and railways are mentioned in detail.
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Extra resources for Ground Vehicle Dynamics
Example text
For a wheelset with decreasing roll radii towards the wheelset center, Fig. 19, a displacement of the wheelset center of mass from the middle of the track is not decreasing but further increasing with the result of an unstable wheelset motion. g. made by yogurt cups, running on two rods placed an a inclined plane, Fig. 20. With a real wheelset the motion behavior is much more complex. Due to elasticity of wheels and tracks the contact points have to be replaced by 44 2 Vehicle Models a) b) c) x x x y y y Fig.
45) are vanishing. In addition to the real motions, the virtual motions are required in the next chapter dealing with dynamics. A virtual motion is defined as an arbitrary, infinitesimally small variation of the position completely compatible with the constraints at any time. Rheonomic constraints are treated as frozen at the time under consideration. The symbol δ of the virtual motion has the properties δr = 0 , δt ≡ 0 . , it yields δ(cr) = cδr , δ(r 1 + r 2 ) = δr1 + δr 2 , δr(y) = ∂r δy . 47) Thus, the virtual motion of a multibody system reads as δr i = J T i δy , δsi = J Ri δy , i = 1(1)p .
The self-guidance of the wheelset, can be observed in Fig. 18. For conical wheels with increasing roll radii towards the wheelset center, a displacement of the wheelset center of mass to the right results in a larger roll radius at the right wheel than at the left wheel. Therefore, the right wheels overtake the left wheel while traveling on the track, and the displacement of the center of mass is decreasing. If the wheelset center of mass has reached the middle of the track, the axis of the wheelset is inclined and the center of mass moves to the left.
Ground Vehicle Dynamics by Karl Popp
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