Courses:

Course Info

• Course Number / Code:
• 1.053J (Fall 2002) 
• Course Title:
• Dynamics and Vibration (13.013J) 
• Course Level:
• Undergraduate 
• Offered by :
• Massachusetts Institute of Technology (MIT)
  Massachusetts, United States  
• Department:
• Mechanical Engineering 
• Course Instructor(s):
• Prof. Nicholas Patrikalakis
  Prof. J. Kim Vandiver 
• Course Introduction:
•  
• 
  
  2.003J / 1.053J Dynamics and Vibration (13.013J)
  
  
  
  

  Fall 2002

  
  
  

  
  
  

  Course Highlights

  
  
  

  This course includes a full set of assignments, sample exams, and student feedback forms.

  
  
  

  Course Description

  
  
  

  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-energy (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.

  This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.013J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject merged with 2.003.