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Downloads
Views
Date
Relevance
Potential Scenario
147
views
41
downloads
0
comments
1999-Marchand-McDevitt-Learning Differential Equations by Exploring Earthquake Induced Structural Vibrations
The project takes full advantage of analytical, numerical, and qualitative techniques to explore the mechanical vibrations of buildings during an earthquake.
earthquake
nondimensionalization
Coulomb damping
mechanical vibration
Modeling Scenario
270
views
110
downloads
0
comments
5-036-HalfCarVibration-ModelingScenario
Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF) including pitch and bounce of vehicle body on suspension...
vibration
vehicle
half-car model
finite element analysis
shock absorbers
suspension
Potential Scenario
119
views
56
downloads
0
comments
2019_Isaac_Eshakoff-Differential_Equations_of_Love_and_Love_of_Differential_Equations
In this paper, simple ordinary differential equations are discussed against the background of William Shakespeare’s Romeo and Juliet.
mathematical model
system
mechanical
Romeo and Juliet
love
love-hate
jealousy
Shakespeare
Modeling Scenario
473
views
1173
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
Potential Scenario
800
views
52
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Potential Scenario
134
views
42
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
Modeling Scenario
186
views
205
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
Potential Scenario
105
views
34
downloads
0
comments
2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
driving function
viscous
mechanical system
Potential Scenario
142
views
50
downloads
0
comments
2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
bacteria
agent-based
populationb
rod-shaped
cellular growth
Potential Scenario
114
views
33
downloads
0
comments
1999-PS_Crooke-S_Hota_JJ_Martini-JR_Hochkiss-A Mathematical Model for Carbon Dioxide Exchange
A mathematical model is presented to study the effect of Tracheal Gas Insufflation (TGI) on the alveolar ventilation during passive, mechanical ventilation.
mechanical ventilation
ventilation
carbon dioxide exchange
tracheal gas insufflation
alveolar ventilation
shunt
two-compartment model
Potential Scenario
119
views
30
downloads
0
comments
2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were offered in each case.
circuit
earthquake
vibration
pendulum
buiklding
triple pendumlum
nonlinear circuit
Modeling Scenario
298
views
335
downloads
0
comments
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
Article or Presentation
151
views
37
downloads
0
comments
2008-Keith_Landry-Brian_Winkel-Peak_Frequency_Responses_and_Tuned_Mass_Dampers
We present two applications of systems of ordinary differential equations concerning excitation of a structure through resonance and (1) peak frequency responses with stabilization of the structure by means of a (2) Tuned Mass Damper (TMD).
vibration
resonance
tuned mass damper
peak frequency response
excitation
Modeling Scenario
214
views
295
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
Potential Scenario
144
views
44
downloads
0
comments
2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).
sensitivity
regression
parameter estimation
system
low frequency oscillations
oscillations
Potential Scenario
351
views
90
downloads
0
comments
2017-Varanis-Mereles-Mathematical Model of a Vehicle Crash A Case Study
The model proposed in this paper allows one to obtain the parameters of the system, and then compare them with the ones obtained experimentally to test the suitability of the model with the vehicle crash.
case study
Runge-Kutta
spring mass damper
vehicle crash
Modeling Scenario
214
views
339
downloads
0
comments
3-073-EarthQuakePartII-ModelingScenario
Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it undergoes minor vibrations from a small earthquake.
earthquake
vibration
damping
amplitude
spring-mass system
steady-state solution
underdamped
Potential Scenario
136
views
54
downloads
0
comments
1989-R_Blickhan-Spring Mass Model For Running-Hopping
A simple spring—mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed.
spring mass
jump
jumping
Potential Scenario
183
views
46
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Potential Scenario
566
views
69
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
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