Download e-book for iPad: Fundamentals of Rail Vehicle Dynamics (Advances in by Alan Wickens

By Alan Wickens

ISBN-10: 0203970993

ISBN-13: 9780203970997

ISBN-10: 902651946X

ISBN-13: 9789026519468

Basics of Rail automobile Dynamics lays a origin for the layout of rail automobiles in line with the mechanics of wheel-rail interplay as defined through the equations of movement. the writer advances uncomplicated versions to clarify specific demanding situations and exhibit leading edge platforms whereas utilizing analytical experiences to check novel layout thoughts. instead of targeting a "typical" set of parameters, the publication discusses the problems linked to the entire variety of parameters on hand, focusing on the configuration and parametric layout of the bogie when it comes to guidance, dynamic reaction, and balance. this is often a very good reference for designers and researchers concerned car improvement.

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Extra resources for Fundamentals of Rail Vehicle Dynamics (Advances in Engineering (Lisse, Netherlands), 6,)

Sample text

A three-dimensional case was solved approximately by Johnson [28] who considered an elastic sphere rolling on an elastic plane. This solution was based on the assumption that the area of adhesion is circular and tangential to the 34 RAIL VEHICLE DYNAMICS area of contact (which is also circular) at the leading edge. Good agreement with experiment was obtained. The influence of spin about an axis normal to the contact area was first studied by Johnson [29]. The general case where the contact area is elliptical was considered by Haines and Ollerton [30] who confined their attention to creep in the direction of motion and assume that Carter's two-dimensional stress distribution holds in strips parallel to the direction of motion.

The track is arbitrarily curved in plan view and may be canted. The kinematics of the wheelset is considered first, and this is followed by a discussion of wheel rail geometry. An evaluation of the creep forces acting between wheel and rail makes it possible to formulate equations of motion of a freely running wheelset. This is followed by the derivation of the equations of motion of a complete two-axle vehicle in which the action of the suspension is taken into account. 1. R0, φ0, and y0 vary with the distance s along the track.

The formulation of the equations of motion therefore require special care and their logical derivation has been considered by de Pater [4] and Schiehlen [56]. The derivation given here follows that of de Pater whose paper should be consulted for rigorous detail, and applies the principles of linear and angular momentum referring the forces and moments, and the linear and angular displacements to the wheelset reference axis system Oxyz. Assuming that the displacements ui and their derivatives are small, the vector equations of motion if the axes are moving are p + aϖ p = X (1) h + aϖ h = L (2) where ⎡ 0 ⎢ a ϖ = ⎢ aω 3 ⎢ − aω 2 ⎣ ω2 ⎤ ⎥ − a ω1 ⎥ 0 ⎥⎦ − aω 3 0 a ω1 a (3) (the tilde will be used to indicate the skew symmetric matrix corresponding to a vector quantity with the elements arranged as above).

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Fundamentals of Rail Vehicle Dynamics (Advances in Engineering (Lisse, Netherlands), 6,) by Alan Wickens

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