equations of motion
2021-12-01T19:45
materials
Free damped vibrations of linear viscoelastic materials
simple approximation
system
approximation error
en
linear viscoelastic materials
approximation
sinusoidal vibration
https://scigraph.springernature.com/explorer/license/
areBoltzmann's superposition principle
solution
1967-05
upper limit
viscoelastic material areBoltzmann's superposition principle
decrement
limit
linear viscoelastic spring
inert components
dynamic modulus
assumption
formal solution
determination
logarithmic decrement
free vibration data
superposition principle
discrete relaxation spectrum
modulus
motion
equations
https://doi.org/10.1007/bf01969161
articles
vibration data
principles
viscoelastic springs
spectra
A mechanical system consisting of an inert component, attached to a linear viscoelastic spring, is studied theoretically. Basic assumptions about the viscoelastic material areBoltzmann's superposition principle and a positive discrete relaxation spectrum. The equation of motion and its formal solution for free damped vibrations are discussed.The theory focusses on the determination of the complex dynamic modulus, defined for undamped sinusoidal vibrations, by free damped vibrations. Simple approximation formulae to calculate the dynamic modulus from free vibration data, i. e. eigen frequency and logarithmic decrement, are given; upper limits for the approximation errors could be derived.
error
false
article
spring
119-129
material areBoltzmann's superposition principle
frequency
mechanical systems
relaxation spectrum
undamped sinusoidal vibrations
basic assumptions
1967-05-01
free damped vibrations
positive discrete relaxation spectrum
vibration
complex dynamic modulus
damped vibrations
theory
components
eigen frequencies
viscoelastic materials
data
Springer Nature
Rheologica Acta
1435-1528
0035-4511
Chemical Engineering
Struik
L. C. E.
Engineering
2
Springer Nature - SN SciGraph project
Centraal Laboratorium, TNO, Delft, The Netherlands
Centraal Laboratorium, TNO, Delft, The Netherlands
Interdisciplinary Engineering
Mechanical Engineering
6
pub.1004368155
dimensions_id
doi
10.1007/bf01969161