# Course - Engineering Dynamics

Course Level: Freshman

This course is an introduction to 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.

Prerequisites
• - Mechanics
• Lecture 1 - History of Dynamics; Motion in Moving Reference Frames
• Lecture 2 - Newton's Laws and Describing the Kinematics of Particles
• Lecture 3 - Motion of Center of Mass; Acceleration in Rotating Ref. Frames
• Lecture 4 - Movement of a Particle in Circular Motion: Polar Coordinates
• Lecture 5 - Impulse, Torque, Angular Momentum for a System of Particles
• Lecture 6 - Torque and the Time Rate of Change of Angular Momentum
• Lecture 7 - Degrees of Freedom, Free Body Diagrams, Fictitious Forces
• Lecture 8 - Fictitious Forces and Rotating Mass
• Lecture 9 - 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 and Their Equations of Motion
• Lecture 15 - Introduction to Lagrange With Examples
• Lecture 16 - Kinematic Approach to Finding Generalized Forces
• 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 22 - Finding Natural Frequencies and Mode Shapes of a 2 DOF System
• Lecture 23 - Vibration by Mode Superposition
• Lecture 24 - Modal Analysis Orthogonality, Mass Stiffness, Damping Matrix
• 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