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Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems.
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English
English [CC]
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Description
Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange’s equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. Introduction to numerical methods and MATLAB® to solve dynamics and vibrations problems.
Course content
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- Newton’s Laws, Cartesian and Polar Coordinates, Dynamics of a Single Particle Unlimited
- Work-Energy Principle Unlimited
- Dynamics of a Single Particle: Angular Momentum Unlimited
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- Systems of Particles: Angular Momentum and Work-Energy Principle Unlimited
- Systems of Particles: Example 1: Linear Momentum and Conservation of Energy, Example 2: Angular Momentum Unlimited
- Collisions Unlimited
- 2D-Motion of Rigid Bodies: Kinematics Unlimited
- 2D-Motion of Rigid Bodies: Kinematics – Instant Centers; Kinetics Unlimited
- 2D-Motion of Rigid Bodies: Kinetics, Parallel Axis Theorem Unlimited
- 2D-Motion of Rigid Bodies: Falling Stick Example, Work-Energy Principle Unlimited
- 2D-Motion of Rigid Bodies: Finding Moments of Inertia, Rolling Cylinder with Hole Example Unlimited
- 2D-Motion of Rigid Bodies: Rolling Cylinder and Rocker Examples Unlimited
- Vibrations: Second Order Systems with One Degree of Freedom – Free Response Unlimited
- Vibrations: Second Order Systems with One Degree of Freedom – Forced Response Unlimited
- Vibrations: Free Response of Multi-Degree-of-Freedom Systems Unlimited
- Vibrations: Two Degrees of Freedom Systems – Wilberforce Pendulum Unlimited
- Vibrations: Forced Response of Multi-Degree-of-Freedom Systems Unlimited
Instructor
Massachusetts Institute of Technology
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5
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1916
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