Simulation & modelling
Dynamic Systems Modelling & Simulation
- Start date
- 2024
- End date
- 2025
I developed a mass–spring–damper model from first principles and explored its response in MATLAB and Simulink. The objective was to understand how damping influenced stability, step response and transient behaviour.
- My role
- Mathematical modelling and simulation
- Project
- Simulation & modelling
- Tools
- MATLAB · Simulink
- Methods
- First-principles modelling · Laplace transforms · Response analysis
Project Brief
The project examined a mass–spring–damper system through mathematical modelling and simulation, connecting the governing equation to the resulting dynamic response.
My Contribution
I derived the system model, obtained its transfer function and analysed the response in MATLAB. I also used Simulink to compare different damping conditions.
Mathematical Development
I used Newton’s Second Law to derive the system differential equation, then applied Laplace transforms to obtain a transfer function for the mass–spring–damper system.
Simulation and Response
In MATLAB, I analysed step response, poles, damping ratio, stability and transient behaviour. In Simulink, I compared underdamped, critically damped and overdamped responses to examine how damping changes system behaviour.
Outcome
I produced a first-principles model and compared underdamped, critically damped and overdamped responses. The work connected the mathematical description of the system to its simulated transient behaviour.
Engineering Competencies
I linked physical principles, analytical modelling and simulation to interpret a mechanical system’s response.
Mathematical modelling
I applied Newton’s Second Law and Laplace transforms to obtain the differential equation and transfer function.
Dynamic response
I analysed step response, poles, damping ratio and stability, then compared damping regimes in Simulink.