13.013J Dynamics and Vibration, Fall 2002
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13-013JFall-2002/OcwWeb/Ocean-Engineering/13-013JDynamics-and-VibrationFall2002/CourseHome/index.htm
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Author(s) •
Patrikalakis, N. M. (Nicholas M.)
Vandiver, J. Kim
Alternative Title
Dynamics and Vibration
Date Issued
December 2002
Abstract
Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-enery (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange's equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.
Subjects
lumped-parameter models
mechanical systems
Three-dimensional particle kinematics
Force-momentum formulation
Newton-Euler equations
Work-enery (variational) formulation
systems particles
rigid bodies (indirect method)
Virtual displacements
Lagrange's equations
Linear stability analysis
13.013J
1.053J
13.013
1.053
Vibration (Marine engineering)
MIT Department
Massachusetts Institute of Technology. Department of Ocean Engineering
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