Vehicle Suspension & Shock Absorber Damping Lab
Tune a car corner's mass, spring and damper, trigger a road bump, and watch the real spring-mass-damper equation of motion bounce and settle live.
Set the mass, spring stiffness and damping, then hit "Road bump" and watch the corner mass bounce and settle exactly as mẃ + cẀ + kx = 0 predicts.
ωn = √(k/m), ζ = c / (2√(km)), c_crit = 2√(km)About the Vehicle Suspension & Shock Absorber Damping Lab
Free vehicle suspension & shock absorber damping lab. Tune a car corner's mass, spring and damper, trigger a road bump, and watch the real spring-mass-damper equation of motion bounce and settle live. Drag, change the sliders and see the result live. No sign-up, works on phone and computer. Built for engineering, the vehicle suspension & shock absorber damping lab runs instantly in your browser: change a setting or drag an object and the result updates at once, so you learn by trying things out rather than only reading about them.
Tune a car corner's mass, spring and damper, trigger a road bump, and watch the real spring-mass-damper equation of motion bounce and settle live. Use it to explore engineering ideas at your own pace, then check what you found against the key ideas further down this page.
How to use the Vehicle Suspension & Shock Absorber Damping Lab
- Use the controls to change Corner mass m (kg), Spring stiffness k (N/m), Damping coefficient c (N·s/m). The simulation reacts instantly.
- Press "Road bump", "Reset to defaults", "Lab report" to start, reset or change what is happening.
- Where you see a glowing handle, object, weight or atom, drag it with your mouse or finger. Everything responds in real time.
- Watch the readouts and graphs update as you experiment, and compare what you see with the key ideas below.
Things to try
- Hit 'road bump' with low damping and count the bounces before it settles.
- Raise damping until the bounce disappears completely.
- Try the comfortable-ride ζ 0.6–0.8 challenge.
- Try the critical-damping ζ = 1.0 challenge.
Key ideas you can learn
- A vehicle suspension corner behaves like a spring-mass-damper system obeying m*x'' + c*x' + k*x = 0 after a bump displaces it.
- The damping ratio zeta = c/(2*sqrt(km)) determines the response shape: underdamped (zeta<1) bounces before settling, critically damped (zeta=1) returns fastest with no bounce, overdamped (zeta>1) returns slowly with no bounce.
- Natural frequency omega_n = sqrt(k/m) sets how fast the system would oscillate with no damping at all; a stiffer spring or lighter corner mass raises it.
- Real ride-comfort shocks are tuned underdamped (zeta roughly 0.2-0.4) to soak up bumps smoothly, while some sport or off-road setups use higher damping ratios that trade comfort for less body motion.
Where this is used in the real world
Automotive engineers tune spring stiffness and shock absorber damping exactly this way to balance ride comfort against handling, and the same spring-mass-damper math sizes vibration isolators for machinery and buildings.
Who is this simulation for?
Engineering and technology students, makers, robotics clubs and teachers of design and technology. It gives a hands-on feel for how machines behave before you build a real one.
For teachers: project it on the board, let students predict what will happen, then run it together. For students: change one thing at a time and write down what changes.
Frequently asked questions
Why does a critically damped suspension return to equilibrium fastest without any bounce?
Critical damping (zeta = 1) is the exact borderline where the system has just enough damping to prevent oscillation; any less damping and it overshoots and bounces (which actually returns near zero faster on the first swing but keeps oscillating), any more damping and the extra resistance slows the return down, so zeta = 1 minimizes settling time among all responses that do not overshoot.
Why does doubling the spring stiffness change the required damping coefficient for critical damping?
Critical damping is c_crit = 2*sqrt(k*m), so it depends on the square root of the stiffness; doubling k multiplies c_crit by sqrt(2), meaning a stiffer spring needs proportionally more damping to stay at the same damping ratio.
Is the Vehicle Suspension & Shock Absorber Damping Lab free to use?
Yes. It is completely free, with no signup, no download and no ads inside the simulation. It runs in your web browser.
Does the Vehicle Suspension & Shock Absorber Damping Lab work on a phone or tablet?
Yes. It uses touch as well as the mouse, so you can drag objects with your finger. A larger screen makes the controls easier to see.