Lectures related to Flexure Joints and Torsion Bars

Explores harmonic oscillators, Hooke's Law, and elasticity in relation to force and spring elongation.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Explores the mechanics of a helix under gravity, studying equilibrium shapes and solving differential equations for helix components.

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Explores beam buckling, moment-curvature relation, and linear elasticity for understanding beam behavior under different loading conditions.

Covers the analysis of speed variation using differential equations and small time intervals.

Explores beam buckling, moment-curvature relation, deflection, and fundamental beam solutions in structural mechanics.

Explores simulation of common structures and control of dynamic systems through friction and elasticity constants.

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Covers the material point model, initial conditions, and Newton's laws in physics.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Covers separable differential equations of order 1, defining separable equations and providing examples.

Explores equilibrium and stability of a vertical metronome system with springs.

Covers the addition of springs in series and parallel, exploring equivalent movements.

Covers cable structures analysis, equilibrium, and comparison with arches, including examples and exam preparation.