Vibration characteristics analysis of modular safety tire-vehicle system based on Lagrangian modeling and virtual prototype verification

To address the safety hazards associated with traditional pneumatic tires, such as blowouts, this study innovatively designs a modular safety tire. Focusing on its fundamental vibration characteristics, particularly at the first-order mode, the research adopts a combined approach of theoretical analysis and simulation verification: first, a theoretical model is established based on the Lagrange vibration differential equation, followed by the construction of a virtual prototype on the Adams/View platform for simulation validation. The study systematically investigates the first-order natural frequency characteristics of vehicles equipped with this tire under three vibration modes: vertical vibration, pitch vibration, and roll vibration. As fundamental research, the findings reveal that the modular safety tire exhibits excellent resonance suppression capabilities at the first-order mode, with its natural frequency range offering the following advantages: (1) effectively avoiding road excitation frequencies within common driving speed ranges; (2) circumventing resonance frequency bands caused by tire self-excited vibrations; and (3) preventing resonance issues during vehicle idling. This research not only provides an innovative solution for enhancing tire safety performance but also, through the analysis of its vibration characteristics at the first-order mode, validates that it meets operational standards. It holds substantial engineering application value for advancing automotive component technology innovation and serves as a foundation for future development.