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APPLICATIONS OF QUASILINEARIZATION TO THE LIMIT CYCLE BEHAVIOUR OF THE NONLINEAR WHEEL-RAIL SYSTEM

Wolfgang Hauschild

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Abstract

The spatial kinematic constraints of arbitrary wheel and rail profiles are analysed by solving a system of nonlinear equations. The nonlinear equations for longitudinal and lateral creepages and spin are derived. The nonlinear equations of motion of a restrained wheelset on straight and curved track are set up and reduced. The external loads exerted on the wheelset are expanded. Nonlinear creep loads are evaluated, using different methods of saturation.

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What this paper is about

The spatial kinematic constraints of arbitrary wheel and rail profiles are analysed by solving a system of nonlinear equations. The nonlinear equations for longitudinal and lateral creepages and spin are derived. The nonlinear equations of motion of a restrained wheelset on straight and curved track are set up and reduced. The external loads exerted on the wheelset are expanded. Nonlinear creep loads are evaluated, using different methods of saturation.

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Available abstract

The spatial kinematic constraints of arbitrary wheel and rail profiles are analysed by solving a system of nonlinear equations. The nonlinear equations for longitudinal and lateral creepages and spin are derived. The nonlinear equations of motion of a restrained wheelset on straight and curved track are set up and reduced. The external loads exerted on the wheelset are expanded. Nonlinear creep loads are evaluated, using different methods of saturation.

Key concepts: Nonlinear system, Kinematics, Creep, Track (disk drive), Limit cycle, Control theory (sociology), Structural engineering, Equations of motion

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APPLICATIONS OF QUASILINEARIZATION TO THE LIMIT CYCLE BEHAVIOUR OF THE NONLINEAR WHEEL-RAIL SYSTEM — Research Paper | ScholarLens