Dynamics and Vibrations
PREREQUISITES
WHAT YOU MUST KNOW TO SUCCEED IN THIS COURSE
(Course
number designation applies to
MEEN 221: Statics and
Particle Dynamics
Statics
and
Conservation
of Linear and Angular Momentum.
Principles
of Work and Energy (Potential and Kinetic),
Impulse
and Momentum/Collision of particles
MATH 308:
Differential Equations
Solution
of Linear Ordinary Differential Equations (operator or Laplace transform
methods) AND
Interpretation
of solutions (firs and 2nd order systems)
Systems
of differential equations.
Basic
Theory of complex numbers.
Conversion
from Cartesian to polar coordinates.
MEEN 357: Engineering Analysis for MEs (concurrent)
Basic
knowledge of computing languages (MATLAB, MAPLE, Visual Basic, or any other).
Methods
for numerical solution of systems of algebraic equations and linear
differential equations, and including evaluation of matrix
eigenvalues/eigenvectors
How
to program multiple operations using recursive algorithms
CVEN 305: Mechanics of Materials
Basic
knowledge of material mechanical properties
Stress
and strain relationships in elastic materials: rods in torsion, bars under
tension/compression, bending of beams.
Design
and selection of rods for torque transmission, bars for uniaxial load bearing, and
beams for support of loads in flexion.
Stability
of structural systems
OTHER things you should know
Vector
Algebra and Calculus.
Complex
numbers
Matrix
Algebra including evaluation of determinants and
solution of systems of linear algebraic
equations.
Correct
use of SI and U.S. Customary units: Conversion skills and equivalence of units.
AND LAST BUT NOT LEAST:
DESIRE AND WILL TO LEARN!
OTHER
IMPORTANT INFORMATION YOU SHOULD KNOW:
Mathematical
procedures and analysis in assignments and exams will be regarded as erroneous
if physical units are handled incorrectly. The least we can expect from
conscientious students (potential mechanical engineers) is the correct usage
and conversion of physical units and the ability to estimate the right order of
magnitude of an answer to an engineering problem.
Refer
to a math textbook and refresh your knowledge on the analytical solution of
linear ordinary differential equations. This material is your sole
responsibility since you learned it on a prior class (MATH 308).
In
my experience, common sense is a must for a successful engineering career!
Luis
San Andrés
Course
Instructor