Mass_Damper_System

Simulink simulation of a Suspension (Mass-Spring-Damper) system to analyze vertical displacement and vehicle dynamics.

OverviewThis project provides a Simulink model for a single-degree-of-freedom (1-DOF) quarter-car suspension system. It demonstrates how to translate physical mechanical equations into a functional block diagram.

Mathematical ModelThe system is governed by the following second-order differential equation: Mx'' = F - cx' - k*x

Where:

• M: Mass of the vehicle body.
• c: Damping coefficient (Set to 85 in this model).
• k: Spring stiffness (Represented by Gain K).
• F: External force (Step input).

Model Components

• Step Input: Represents road disturbance or external force.
• Integrator Blocks (1/s): Convert acceleration to velocity, and velocity to displacement.
• Feedback Loops: Implement the damping and stiffness forces.
• Scope: Displays the real-time displacement response of the car body.