Derivation and Model Establishment of Mathematical Differential Equation for Straddle Monorail Vehicle 

BaoLiang LUO 

College of mechanical and Automobile Engineering, Chongqing Jiaotong University, Chongqing, 400074, CHINA 

Abstract: n order to derive the mathematical differential equation of the monorail vehicle, the monorail system of Chongqing is used as the research object, and each compartment is simplified as a multi-body dynamics system with 15 degrees of freedom. Considering the lateral characteristics of rubber tires, Influence of Six - level Pavement Spectrum Excitation Simulation Track Beam on the Operation of Straddle Monorail Vehicle. The vibration differential equation of the vehicle is derived from the Lagrangian principle, and the dynamic model of the monorail vehicle is established in MATALB / SIMULIK. It is found that the results of the monorail model are in good agreement with the actual situation. 

Keywords: Straddle-type monorail vehicle; Lagrange principle; Cornering characteristic; Road spectrum