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MIT OpenCourseWare

Engineering Dynamics

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 ocw.mit.edu )

Instructor

Professor J. Kim Vandiver,

Mechanical engineering

2013

Recitation 07 - Cart and Pendulum, Direct Method

Recitation 08 - Cart and Pendulum, Lagrange Method

Recitation 04 - Free Body Diagrams

Recitation 09 - Generalized Forces

Recitation 10 - Steady State Dynamics

Lecture 02 - Newton's Laws and Describing the Kinematics of Particles

Lecture 03 - Motion of Center of Mass; Acceleration in Rotating Ref. Frames

Lecture 16 - Kinematic Approach to Finding Generalized Forces

Lecture 22 - Finding Natural Frequencies & Mode Shapes of a 2 DOF System

Lecture 23 - Vibration by Mode Superposition

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 06 - Angular Momentum and Torque

Recitation 11 - Double Pendulum System

Recitation 05 - Equations of Motion

Recitation 12 - Modal Analysis of a Double Pendulum System

Recitation 03 - Motion in Moving Reference Frames

Recitation 02 - Velocity and Acceleration in Translating and Rotating Frames

Lecture 01 - History of Dynamics; Motion in Moving Reference Frames

Lecture 04 - Movement of a Particle in Circular Motion w/ Polar Coordinates

Lecture 05 - Impulse, Torque, & Angular Momentum for a System of Particles

Lecture 06 - Torque & the Time Rate of Change of Angular Momentum

Lecture 07 - Degrees of Freedom, Free Body Diagrams, & Fictitious Forces

Lecture 08 - Fictitious Forces & Rotating Mass

Lecture 09 - Rotating Imbalance

Lecture 10 - Equations of Motion, Torque, Angular Momentum of Rigid Bodies

Lecture 11 - Mass Moment of Inertia of Rigid Bodies

Lecture 12 - Problem Solving Methods for Rotating Rigid Bodies

Lecture 13 - Four Classes of Problems With Rotational Motion

Lecture 14 - More Complex Rotational Problems & Their Equations of Motion

Lecture 15 - Introduction to Lagrange With Examples

Lecture 17 - Practice Finding EOM Using Lagrange Equations

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 24 - Modal Analysis: Orthogonality, Mass Stiffness, Damping Matrix