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Downloads
Views
Date
Relevance
Potential Scenario
102
views
31
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
127
views
38
downloads
0
comments
2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.
infection
compartment
hospital
ventilation
airborne
sthochastic
Wells–Riley
Potential Scenario
104
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
137
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
139
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
Potential Scenario
116
views
49
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
Potential Scenario
142
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
349
views
80
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
Potential Scenario
128
views
51
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
165
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
558
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
Potential Scenario
105
views
36
downloads
0
comments
1988- N_Koblitz-Problems that Teach the Obvious but Difficult
Four problems are presented and two of them involve differential equations. These involve projectile motion in one and two dimensions.
projectile motion
Modeling Scenario
265
views
104
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
Modeling Scenario
166
views
344
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
787
views
50
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
Modeling Scenario
178
views
183
downloads
0
comments
3-064-GearTrain-ModelingScenario
Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components.
friction
gear
spur gear
gear train
torque
gear ratio
angular acceleration
angular velocity
moment of inertia
double reduction gear
Potential Scenario
115
views
61
downloads
0
comments
2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
kinetics
zeroth order reaction
first order reaction
second order reaction
reaction rates
third order reaction
Potential Scenario
201
views
67
downloads
0
comments
1975-David_Burghes-Population dynamics An introduction to differential equations
In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
fish
predator-prey
logistic
population
delay
lag
Modeling Scenario
461
views
1104
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
Free Online Textbook
139
views
47
downloads
0
comments
2016-Langtangen-Pedersen - Scaling of Differential Equations
Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations results more widely applicable.
scaling
dimensionless
continuum mechanics
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