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September 21, 2023

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Description

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 ocw.mit.edu)

Course Curriculum

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

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