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Views
Date
Relevance
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
Article or Presentation
174
views
40
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
Potential Scenario
111
views
62
downloads
0
comments
2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
This article describes an equation of motion for a waggling pendulum.
resonance
inverted pendulum
mechanics
damped pendulum
Potential Scenario
153
views
75
downloads
0
comments
2017-David_Morin-Oscillations
So needless to say, an understanding of oscillations is required for an understanding of waves.
damping
frequency response
resonance
oscillation
beats
underdamping
harmonic oscillators
over damping
critical damping
Free Online Textbook
191
views
62
downloads
0
comments
2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
textbook
linear algebra
Laplace transform
Potential Scenario
122
views
62
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.
spring mass
oscillation
Hooke's Law
coupled springs
periodic
forcing function
phase portrait
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
Free Online Textbook
216
views
55
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
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