https://www.youtube.com/playlist?list=PLUeHTafWecAUl2DuWWdRU1MckJv7M5LEHAnalytical dynamics - Lagrangian and 3D rigid body dynamics - online course
29 videos4,198 viewsLast updated on May 4, 2021
A 29-video course on intermediate dynamics that will give you have a firm grasp of the fundamentals of engineering dynamics, specifically the analytical dynamics approach (Lagrangian mechanics) and 3D rigid body motion.
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https://is.gd/AnalyticalDynamicsBy Dr. Shane Ross of Virginia Tech's Department of Aerospace and Ocean Engineering and the Engineering Mechanics program, BS & PhD from Caltech
The course will extend your knowledge of dynamics into areas not covered or covered only briefly at the undergraduate level, e.g., Lagrange’s equations, D’Alembert’s principle, quasi-velocities, phase plane analysis. In summary, we will discuss ways of (1) describing the motion for some classes of mechanical systems in terms of configuration variables, (2) deriving the equations of motion for those systems, usually ODEs for the configuration variables, and (3) methods for finding and classifying the possible motions (i.e., solving the equations of motion) and analyzing the characteristics of the motion (e.g., using phase portrait analysis).
Syllabus:
https://drive.google.com/file/d/1huVA...Necessary Background/Prerequisites:
In terms of prerequisites, you should have previous experience with kinematics and dynamics (e.g., using Newton’s equations in an undergrad course), calculus and differential equations, and computational methods (e.g., using Matlab to solve ordinary differential equations and to visualize the solutions). And to be honest, to get the most out of this course, you should like math and dynamics.
Professor: Dr. Shane Ross, Virginia Tech, Department of Aerospace and Ocean Engineering
The course lecture notes are in PDF form
https://is.gd/ESM5314notes
and in OneNote form
https://1drv.ms/u/s!ApKh50Sn6rEDiU8rO...
There is a follow-on course which gets into Hamiltonian mechanics and nonlinear dynamics:
Advanced Dynamics - Hamiltonian Systems and Nonlinear Dynamics
https://is.gd/AdvancedDynamics
Author's website:
http://shaneross.com
Textbook used:
Engineering Dynamics: A Comprehensive Introduction
by N. Jeremy Kasdin and Derek A. Paley
https://press.princeton.edu/books/har...
ESM 5314 Intermediate Dynamics
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