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Modeling Scenario
332
views
395
downloads
0
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5-040-TunedMassDampers-PartII-ModelingScenario
Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a spring-mass-dashpot with stiffness replacing spring...
structure
resistance
spring-mass-dashpot
earthquake
vibration
control
damping
tuned mass damper
stiffness
reduction of vibration
Technique Narrative
401
views
206
downloads
0
comments
9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.
Maternal-Fetal interface
heat equation
Conservation of Energyt
heat flux
Euler's forward method
central difference
skin burn
hyperthermia
thermal conductivity
layers
Technique Narrative
377
views
189
downloads
0
comments
1-003-IntroNumericalMethods-TechniqueNarrative
We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions and compare them to analytic solutions.
analytic solution
Euler's method
improved Euler's method
Modeling Scenario
256
views
326
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
211
views
371
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
Modeling Scenario
260
views
210
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
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