Dynamics and Vibrations

PERFORMANCE
OBJECTIVES or OUTCOMES

WHAT YOU WILL LEARN IN THIS COURSE & WHERE YOU WILL
APPLY IT

__Planar kinematics for particle motion__** :**
Student should be able to use Cartesian, polar and path-coordinate kinematics
to define the velocity and acceleration components of a material point in
motion. Student will learn to use
coordinate transformations to shift back and forth between the three coordinate
systems (Cartesian, polar and path). Student should be able to mathematically
differentiate functions of time and space coordinates to determine desired
functional forms.

__Physical
modeling of particle dynamics (1 DOF__** ):** You should be able to identify the
fundamental components of mechanical systems into generalized lumped mass
(inertia) M, stiffness K, damping C elements.
Determine the degrees of freedom and/or the constraints present on the
system. Establish the equivalence of
Kinetic and Potential (Strain) Energies in Conservative systems. You should be
able to derive the fundamental equations governing the motion of
lumped-parameter (1 DOF and 2 DOF) mechanical systems in general plane
motion. Fundamental knowledge of the
kinematics and kinetics of planar rigid body motion: rectilinear motion and
rotational motion about a rigid axis. Concepts of relative velocity and
acceleration should be mastered.

__Mathematical
modeling of 1 DOF mechanical systems__** :** Student should be able to determine
analytically the dynamic response (Solutions) of 1DOF systems described by the
linear ODE

** Mathematical
modeling of 2 DOF mechanical systems:**
Student should be able to derive the EOMS for 2- or M-DOF lumped
parameter systems. You should be able to linearize the EOMs about an
equilibrium or operating point and determine the linear system of ODEs:

__Numerical
modeling of mechanical systems:__** **Student should be able to
use computational software to solve linear and nonlinear algebraic and
differential equations describing the motion of 1- or M-DOF systems. You should
be able to apply knowledge gained in MEEN 357 to select appropriate numerical
techniques with due consideration for time steps and procedures (algorithms)
ensuring accurate, numerically stable, and cost efficient system response.
Student should be able to interpret numerical calculations (predictions) to
explain system behavior (motion), identify possible failure mechanisms due to
excessive amplitudes of motion or reaction forces, etc.

Luis
San Andrés

Course
Instructor