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Class Notes II: Introduction
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Class Notes II: Introduction
Contents
List of Figures
Introduction
Physical realization
Basic Characterization
Descriptions of Spatial Periodicity
Conversions
Dispersion Relation
General Analysis
Identify the degrees of freedom
Derive the equation of motion
Motion in the x direction
Motion in the y direction
Find a general solution
Standing waves/Normal modes
Boundary Conditions
Fixed/Close Boundary Conditions -
Free/Open Boundary Conditions -
What does it all mean?
Degrees of Freedom
y
(
x
) -
Solution
y
(
x
,
t
) -
Horizontal component of tension
(Eq. ) -
Vertical component of tension
(Eq. ,
consitutive relation
) -
Segment response
(Eq. ) -
Conservation of momentum
(Eq. ) -
Equation of motion/wave equation:
(Eq. ) -
Wave equation:
(Eq. ) -
Dispersion relation:
(Eq. ) -
Wave speed:
(Eq. ) -
Fixed/closed boundary condition:
(Eq. ) -
Free/open boundary condition:
(Eq. ) -
About this document ...
Tomas Arias
Mon Oct 15 16:15:07 EDT 2001
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