2.003SC Engineering Dynamics

2.003SC Engineering Dynamics (Fall 2011, MIT OCW). Taught by Professor J. Kim Vandiver, this course introduces the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics covered include kinematics, force-momentum formulation for systems of particles and rigid bodies in planar motion, work-energy concepts, virtual displacements and virtual work. Students will also become familiar with the following topics: Lagrange's equations for systems of particles and rigid bodies in planar motion, and linearization of equations of motion. After this course, students will be able to evaluate free and forced vibration of linear multi-degree of freedom models of mechanical systems and matrix eigenvalue problems. (from

Notation Systems

Lecture 01 - History of Dynamics; Motion in Moving Reference Frames
Lecture 02 - Newton's Laws and Describing the Kinematics of Particles
Lecture 03 - Motion of Center of Mass; Acceleration in Rotating Ref. Frames
Lecture 04 - Movement of a Particle in Circular Motion w/ Polar Coordinates
Recitation 02 - Velocity and Acceleration in Translating and Rotating Frames
Lecture 05 - Impulse, Torque, & Angular Momentum for a System of Particles
Lecture 06 - Torque & the Time Rate of Change of Angular Momentum
Recitation 03 - Motion in Moving Reference Frames
Lecture 07 - Degrees of Freedom, Free Body Diagrams, & Fictitious Forces
Lecture 08 - Fictitious Forces & Rotating Mass
Recitation 04 - Free Body Diagrams
Lecture 09 - Rotating Imbalance
Lecture 10 - Equations of Motion, Torque, Angular Momentum of Rigid Bodies
Recitation 05 - Equations of Motion
Lecture 11 - Mass Moment of Inertia of Rigid Bodies
Lecture 12 - Problem Solving Methods for Rotating Rigid Bodies
Recitation 06 - Angular Momentum and Torque
Lecture 13 - Four Classes of Problems With Rotational Motion
Lecture 14 - More Complex Rotational Problems & Their Equations of Motion
Recitation 07 - Cart and Pendulum, Direct Method
Lecture 15 - Introduction to Lagrange With Examples
Recitation 08 - Cart and Pendulum, Lagrange Method
Lecture 16 - Kinematic Approach to Finding Generalized Forces
Lecture 17 - Practice Finding EOM Using Lagrange Equations
Recitation 09 - Generalized Forces
Lecture 18 - Quiz Review From Optional Problem Set 8
Lecture 19 - Introduction to Mechanical Vibration
Lecture 20 - Linear System Modeling a Single Degree of Freedom Oscillator
Lecture 21 - Vibration Isolation
Lecture 22 - Finding Natural Frequencies & Mode Shapes of a 2 DOF System
Recitation 10 - Steady State Dynamics
Lecture 23 - Vibration by Mode Superposition
Lecture 24 - Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix
Recitation 11 - Double Pendulum System
Lecture 25 - Modal Analysis: Response to IC's and to Harmonic Forces
Lecture 26 - Response of 2-DOF Systems by the Use of Transfer Functions
Lecture 27 - Vibration of Continuous Structures: Strings, Beams, Rods, etc.
Recitation 12 - Modal Analysis of a Double Pendulum System

2.003SC Engineering Dynamics (Fall 2011)
Instructors: Prof. J. Kim Vandiver and Prof. David Gossard. Lecture notes. Assignments and solutions. Exams and solutions. This course introduces the dynamics and vibrations of lumped-parameter models of mechanical systems.