Yasser A. Amer, Samira M. Soleman
This study investigates the nonlinear vibration characteristics and control strategies for tracked ambulances, which are essential for ensuring patient safety and comfort during transportation. A dynamic nonlinear vibration model incorporating cubic stiffness terms is developed to capture the structural features and behavior of tracked ambulances. The research focuses on controlling vibrations through simultaneous primary and internal resonance, employing the multiple scale perturbation method to derive solutions up to second-order approximations. Various resonance scenarios are explored, and the influence of different parameters is analyzed numerically. The stability of the system is examined using frequency response curves and phase plane analysis. Comparisons between numerical solutions and approximate solutions are provided to validate the model and its effectiveness in vibration control.