This repo is a project for the analysis, study and design of mechanical vibrations. The topics include one dimensional motion of elastic continuum, traveling waves, standing waves, energy flux, and the use of Fourier integrals. Problem statement in dynamic elasticity, uniqueness of solution, basic solution of elastodynamics, integral representations, steady state time harmonic response. Elastic waves in unbounded medium, plane harmonic waves in elastic half-spaces, reflection and transmission at interfaces, Rayleigh waves, Stoneley waves, slowness diagrams, dispersive waves in waveguides and phononic composites, thermal effects and effects of viscoelasticity, anisotropy, and nonlinearity on wave propagation.

Harmonic motion lab report produced for analytical mechanics [physics] with an extensive write up. An example of my writing, math, physics, and formatting skillset.

Experiment on resonance in a mass-spring system, measuring amplitude, frequency, and damping time with lab equipment and data software.

gait harmonic ratio (motion analysis)

It considers three parameter amplitude, frequency, and phase. We have to choose which parameters would be constant and accordingly values are given. By analyzing those values it will show its respective displacement, velocity, acceleration, superimposed graph. It works on Python 2.7. Operating system-Linux For Windows, you have Python 2.7 and also install numpy module.

Analysis of Simple Harmonic Motion in a Pendulum

Experimental analysis of damped harmonic motion in a pendulum. Project for PHY180: Classical Mechanics.

Advanced video analysis tool for microscopic videography, specializing in motion correction and FFT analysis to study harmonic motion in biological organisms like nematodes.

This project takes a video clip with a paint can and uses Principal Component Analysis to extract the simple harmonic motion.

Interactive web lab for exploring harmonic motion through a musical icosahedron and Euler’s Tonnetz, with full-audio works and MIDI-driven geometric analysis

Developed numerical solutions for differential equations using Euler and RK4 methods, modeling harmonic oscillators and dynamical systems. Simulated charged particle motion in electromagnetic fields and analyzed trajectories. Performed scientific data analysis, curve fitting, and visualization using Python and Matplotlib.

A major project from my AI and Robotics course at Aberystwyth University. Developed a biomimetic snake robot using C++ and Webots. Implemented locomotion with harmonic motion, phase shifts, IMU-based control, and obstacle avoidance. Explored real-world applications and challenges. Includes analysis, iterative design, and sensor integration.