STEP II: Mechanical Engineering Program

COURSE #: ME 240

COURSE TITLE: Introduction To Dynamics and Vibrations

TERMS OFFERED: Fall, Winter, Spring.

PREREQUISITES: Physics 140: General Physics I; preceded or accompanied by Math 216: Introduction to Differential Equations.

TEXTBOOKS/REQUIRED MATERIAL:

Dynamics by Bedford/Fowler.

COGNIZANT FACULTY: K. Grosh

DATE OF PREPARATION: 6/6/00

COURSE LEADER(S): K. Grosh

SCIENCE/DESIGN:

CATALOG DESCRIPTION: Vector description of force, position, velocity and acceleration in fixed and moving reference frames. Kinetics of particles, of assemblies of particles and of rigid bodies. Energy and momentum concepts. Euler's equations. Moment of inertia properties. The simple oscillator and its applications.

 

 

 

 

COURSE TOPICS:
  1. Kinematics of particles.
  2. Kinetics of a particles.
  3. Work and energy for particles.
  4. Vibrations of particles.
  5. Planar kinematics of rigid bodies.
  6. Planar kinetics of rigid bodies.
  7. Work and energy methods for rigid bodies.
  8. Vibrations of rigid bodies.
  9. Impulse and momentum methods.
  10. Computer tools for modeling.

 

 

COURSE OBJECTIVES*

 

 

(numbers shown in brackets are links to department educational outcomes)

  1. To teach planar kinematics of rigid bodies, systems of rigid bodies and particles [1, 3, 5, 11].
  2. To teach problem formulation and solution methods for the dynamic equations of motions for planar motion of rigid bodies [1, 3, 5, 11].
  3. To develop simplified, rigid body models for systems of mechanical components [1, 5, 9].
  4. To introduce the concepts and uses of work and kinetic energy [1, 3, 5, 12].
  5. To teach fundamental concepts and solution strategies for mechanical vibration problems [1, 3, 5, 11, 12].

 

 

COURSE

OUTCOMES*

 

 

(numbers shown in brackets are links to course objectives)

  1. Describe the planar motion of a particles and rigid bodies [1].
  2. Describe planar motion of a system of connected rigid bodies including pinned, rolling and sliding connections [1].
  3. Draw free body diagrams for particles, rigid bodies and systems of rigid bodies along with their components [2, 3, 4].
  4. Apply the laws of motion to relate forces obtained from free body diagrams and accelerations from kinematics to derive the equations of motion for particles and rigid bodies in planar motion [1, 2, 3, 4].
  5. Develop simplified models and dynamic equations of motion for connected mechanical systems including rigid links, rigid inextensible cords, sliding and rolling contact conditions, springs and masses [1, 2, 3, 4, 5].
  6. Develop closed form solutions for single degree of freedom free and harmonically driven vibratory systems [5].
  7. Design to avoid or achieve resonance in single degree of freedom mechanical models [5].
  8. Understand definitions of work, potential energy and kinetic energy [4].
  9. Learn that work and energy principles may be more appropriate for problem solution when forces are not a primary quantity of interest and to use these principles to obtain velocity, position and the work done by external forces [4].
  10. Obtain a basic level of understanding of how to apply modern computational software for solving and animating dynamics problems [1, 2, 3, 5].
  11. Obtain numerical results for the dynamic equations of motion using algebraic manipulation, solution of differential equations or computational methods [1-5].

 

ASSESSMENT TOOLS
  1. Regular homework problems.
  2. Exams.
  3. Virtual laboratories and computational assignments.

*The ABET99 Group suggests up to 6 objectives and 1-3 outcomes per objective.