E1_EN: Quarter Car Suspension Model: From Equations to Simulink Simulation | Vehicle Dynamics
🇨🇳 中文版讲解 (Chinese Version): • E1_CN: 2自由度1/4 悬架模型公式推导与建模教程 | Matlab/Simu...
日本語バージョン(Japanese Version): • 【車両運動力学】Simulinkで動かす1/4サスペンションモデル：運動方程式から実装まで
⚙️ In this video, I walk you through the fundamental building block of vehicle dynamics: the Quarter Car Suspension Model.
Whether you are an engineering student or an automotive enthusiast, understanding how to model and simulate a suspension system is a crucial skill. We start from the basic physics, derive the Equations of Motion (EOM) using Newton's Second Law, and then translate those equations into a working simulation using MATLAB and Simulink.
In this tutorial, you will learn:
✅ How to define Sprung and Unsprung masses.
✅ How to derive differential equations for a 2-DOF system.
✅ How to rearrange equations for block diagram implementation.
✅ Step-by-step construction of the model in Simulink.
🛠️ Model Parameters Used:
· Sprung Mass (m2): 500 kg
· Unsprung Mass (m1): 80 kg
· Suspension Stiffness (Ks): 30,000 N/m
· Suspension Damping (Cs): 2,000 Ns/m
· Tire Stiffness (Kt): 300,000 N/m
If you find this video helpful, please Like and Subscribe to MetaEngineering for more content on Vehicle Dynamics, Robotics, and Control Theory!
00:00 Intro: Physical Model & Parameters (Sprung vs. Unsprung Mass)
00:40 Deriving the Equations of Motion (Newton's 2nd Law)
01:51 Rearranging Equations for Simulation
03:32 Defining Parameters in MATLAB
04:06 Setting up the Simulink Environment
04:20 Modeling Road Disturbance (Step Input)
05:10 Building the Unsprung Mass (z1) Loop
08:35 Building the Sprung Mass (z2) Loop
10:55 Combining Signals with Mux
11:15 Running the Simulation & Analyzing Results (Scope)