Verification and optimization advantage of inerter devices apply to grounded vehicle dynamics

The suspension system needs to be soft to insulate against road disturbances and hard to insulate against load disturbances. It cannot achieve with a traditional passive suspension that only considered to the stiffness and damper. In this paper, we propose some inerter designs, which have some advantages for suspension system by improving vehicle oscillation. Thus, we developed the verification process to numerically calculate the suspension model for quarter-car model. We applied the procedure to the linear quarter-car model with conceptual inerter model employment. The mathematical model figure out with assumption of simple theories as constant inertance was defined compare with the computational model was obtained after implementing the detail factors and coefficients inside the inerter mechanism. We optimize design of model based on the minimization of cost functions for displacement, tire deflection with constraint function of suspension deflection limitation and the energy consumed by the inerter. The paper clarifies some issues related to suspension system with inerter to reduce sprung mass displacement and tire deflection in quarter-car model. The advantage of research is verify and optimal a new mechanism, the inerter; this system can improve the vehicle oscillation on quarter-car model with different parameters that shows the benefit of the inerter in proposal suspension system.