13.013J Dynamics and Vibration, Fall 2002

Patrikalakis, N. M. (Nicholas M.); Vandiver, J. Kim

Author(s)

Patrikalakis, N. M. (Nicholas M.); Vandiver, J. Kim

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Alternative title

Dynamics and Vibration

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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.

Date issued

2002-12

URI

http://hdl.handle.net/1721.1/35903

Department

Massachusetts Institute of Technology. Department of Ocean Engineering

Other identifiers

13.013J-Fall2002

local: 13.013J

local: IMSCP-MD5-8178cb9fdb17b9f1362f0d3b479bd01d

Keywords

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)

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