Analytical Dynamics Courses and Certifications

Analytical Mechanics for Spacecraft Dynamics

12 ratings at Coursera

Explore advanced analytical mechanics for spacecraft dynamics, focusing on efficient equation development, energy-based methods, and variational techniques for systems with finite and infinite degrees of freedom.

• Coursera
• 1 day 8 hours 5 minutes
• On-Demand
• Paid Course

Analytical Dynamics - Lagrangian and 3D Rigid Body Dynamics

Comprehensive exploration of analytical dynamics, covering Lagrangian mechanics and 3D rigid body motion. Extends knowledge beyond undergraduate level, focusing on deriving equations of motion and analyzing system behavior.

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Developments of structural dynamics

14 ratings at Coursera

Explore structural dynamics through Lagrangian formalism, linear systems, and eigenshapes. Master continuous beam analysis for real-world applications in engineering and physics.

• Coursera
• 10 hours 13 minutes
• On-Demand
• Paid Course

Society for Industrial and Applied Mathematics

Analytical Aspects of Emergent Dynamics in Systems of Collective Behavior

Explore analytical aspects of emergent dynamics in collective behavior systems, focusing on alignment dynamics in disconnected flocks and new approaches using topological fractional diffusion and random fluctuations.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Dynamics of Selection 2 - Analytical Derivation of Frequency Dependent Selection

Dive into analytical methods for deriving frequency-dependent selection dynamics in population genetics through mathematical modeling and theoretical frameworks.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Kane's Method, Kane's Equations, Avoiding Lagrange Multipliers - Quasivelocities & Dynamic Equations

Introduces Kane's method for efficient modeling of constrained systems using quasivelocities, avoiding Lagrange multipliers. Covers theoretical foundations and practical examples like vehicle stability and semi-truck dynamics.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Lagrange Multipliers and Constraint Forces - Nonholonomic Constraints - Downhill Race Various Shapes

Explore Lagrange multipliers, constraint forces, and nonholonomic constraints in analytical dynamics. Analyze examples like rigid rods, roller racers, and rolling disks to understand generalized forces and their Newtonian connections.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Lagrange’s Equations with Conservative and Non-Conservative Forces - Phase Space Introduction

Explore Lagrange's equations for conservative and non-conservative forces, rigid body systems, and phase space analysis. Learn to solve and classify motions using advanced analytical dynamics techniques.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Lagrange's Equations from D’Alembert’s Principle - Worked Examples

Explore D'Alembert's Principle and Lagrange's Equations through worked examples, including baton sliding, cart-pendulum system, and spring-mass system. Learn to formulate equations of motion for multiparticle systems.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

D’Alembert’s Principle of Virtual Work - Active Forces and Workless Constraint Forces

Explore D'Alembert's Principle of Virtual Work, analyzing active forces and workless constraint forces in analytical dynamics. Gain insights into nonholonomic constraints and multiparticle systems.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Lagrange's Equations Introduction - Generalized Coordinates, Constraints, Degrees of Freedom

Comprehensive introduction to Lagrangian mechanics, covering generalized coordinates, constraints, and degrees of freedom. Explores holonomic and nonholonomic constraints, with examples including the intriguing shopping cart instability.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Newton-Euler Equations for a Rigid Body - Center of Mass & Inertia Tensor Calculation Worked Example

Comprehensive exploration of rigid body dynamics, covering mass distribution, center of mass calculation, Newton-Euler equations, and rotational motion, with practical examples and mathematical formulations.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Planar Kinematics & Dynamics of a Particle

Explore planar kinematics and particle dynamics, covering projectile motion, pendulums, polar coordinates, and the transport equation for rotating frames. Gain insights into 2D motion analysis.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Coupled Rigid Bodies, Impulsive Dynamics, Applications - Trap Jaw Ants, Leaping Lizards, Falling Cat

Explore advanced dynamics applications in biology, from cat landings to flying snakes. Discover how angular momentum and impulsive dynamics explain fascinating natural phenomena and inspire robotic designs.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Ross Dynamics Lab

Normal Modes of Mechanical Systems - Oscillations and Instabilities

Explore normal modes in mechanical systems, including oscillatory patterns, steady drift, and instability. Learn about natural frequencies, mode shapes, and their applications in analyzing system responses to forcing.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video