Multi-Platform Optimization of Rail Curve Trajectories: A Variational Approach Using Euler-Lagrange Dynamics and SLSQP Algorithms
Year: 2026
Type: report
Abstract: The geometric design of curved tracks directly impacts travel time, energy consumption, and safety in high-speed rail systems. This research establishes a comprehensive framework for optimizing curved rail trajectories. By applying the Euler-Lagrange equation and polynomial approximations, we derived a general time-integral equation validated through Python (SLSQP) and MATLAB simulations. Results indicate a 55.65% reduction in theoretical travel time while maintaining rigorous safety and stability constraints via the Stanley Controller model.
Language: English
Subfield: Mechanical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W7155184562
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