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Downloads
Views
Date
Relevance
Modeling Scenario
209
views
361
downloads
0
comments
4-055-ShatterWineGlass-ModelingScenario
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?
frequency
damping
amplitude
resonance
oscillation
shattering
wine glass
bridges
aircraft
external force
Potential Scenario
110
views
54
downloads
0
comments
2003-Givens-Bonfima-Direct observation of normal modes in coupled oscillators
We propose a simple and inexpensive method to directly observe each normal mode of a system of coupled oscillators, as well as to measure its corresponding frequency, without performing Fourier analysis or using expensive apparatus.
frequency
resonance
coupled oscillator
Modeling Scenario
255
views
325
downloads
0
comments
3-072-EarthQuakePartI-ModelingScenario
This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.
earthquake
vibration
amplitude
resonance
undamped
spring-mass system
Modeling Scenario
537
views
1386
downloads
0
comments
5-040-TunedMassDamper-Part-I-Modeling Scenario
We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original structure as a spring-mass-dashpot system.
structure
spring-mass-dashpot
spring mass
earthquake
vibration
tuned mass tuner
restoring force
control
dampe
Modeling Scenario
246
views
208
downloads
0
comments
3-110-MilitarySpringMassApplication-ModelingScenario
The is a collection of different scenarios for the shock system of a trailer. In each scenario, students will transform the shock system of a trailer into a second-order differential equation, solve, and interpret the results.
damping
resonance
beats
spring-mass system
Laplace Transfom
Dirac Delta function
Potential Scenario
139
views
79
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
mass
oscillation
spring\
coupled springs
periodic
fporcing
Modeling Scenario
224
views
213
downloads
0
comments
4-050-ResonanceBeats-ModelingScenario
We study what can happen when a pure oscillator (no damper) is driven by a forced vibration function which has the same or close to the same natural frequency as the system it is driving.
Spring 2020 workshop
vibration
tuning
driver
resonance
forced vibration
undamped
beats
naturl frequency
Modeling Scenario
254
views
206
downloads
0
comments
3-071-WirelessTelegraphy-ModelingScenario
This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.
b
RLC circuit
resonance
beats
current
wireless telegraphy
LC circuit
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