Trace Method for Calculating Wheel-Rail Geometric Relationships

The trace method program for calculating wheel-rail geometric relationships is highly practical and essential for railway vehicle dynamics computations. This program calculates wheel-rail geometric relationships based on the motion trajectory (also known as trace) of wheelsets on tracks, employing numerical algorithms that precisely track wheel movement patterns. The method's effectiveness stems from its incorporation of actual wheelset dynamics, where the core algorithm implements trajectory tracing through iterative coordinate transformations and contact point detection. For instance, the program can calculate wheelset slippage on curved tracks using velocity vector analysis and contact geometry algorithms, delivering more accurate simulation results. Furthermore, the code architecture allows parametric studies of how variables like wheel diameter and wheelbase affect geometric relationships through modularized calculation modules. This parametric analysis capability, implemented via configurable input interfaces and matrix-based computation engines, is crucial for railway vehicle design optimization and performance validation.