Numerical Simulations for 1D and 2D Mass-Spring Models
Developed mathematical and computational models to simulate vibration dynamics in one-dimensional (1D) and two-dimensional (2D) mass-spring systems. The project focused on improving the physical realism and computational efficiency of existing mass-spring models used in engineering and mechanical simulations.
The study applied the Lagrangian approach to derive equations of motion for connected oscillator systems and implemented numerical simulations using MATLAB. Numerical analysis was performed using the Runge-Kutta Fourth-Order (RK4) method to investigate system behaviour, vibration patterns, and computational performance.
The project demonstrated how numerical methods can improve the accuracy and stability of dynamic simulations while maintaining computational efficiency for complex mechanical systems.
Key Technical Work
- Developed 1D and 2D mass-spring simulation models
- Derived equations of motion using Lagrangian mechanics
- Implemented numerical simulations of connected oscillator systems
- Applied Runge-Kutta Fourth-Order (RK4) numerical methods
- Investigated vibration dynamics and mechanical wave behaviour
- Evaluated computational efficiency and numerical stability
- Simulated physically realistic motion in dynamic systems
- Performed scientific computing and visualization using MATLAB
GitHub Repository
Technologies
- MATLAB
- Numerical Analysis
- Runge-Kutta Method (RK4)
- Lagrangian Mechanics
- Scientific Computing
- Dynamic System Modeling
- Mathematical Simulation
Skills
- Mathematical Modeling
- Numerical Simulation
- Computational Physics
- Differential Equations
- Dynamic System Analysis
- Scientific Programming
- Mechanical System Modeling
- Data Visualization