An Euler-Bernoulli beam carrying concentrated masses is considered to be a beam-mass system. The beam is simply supported at both ends. The non-linear equations of motion are derived including stretching due to immovable end conditions. The stretching introduces cubic non-linearities into the equati
โฆ LIBER โฆ
Non-linear free vibration of a simply-supported beam by programming techniques
โ Scribed by N.G.R. Iyengar; P.N. Murthy
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 672 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
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which, by using equation ( 6), becomes The equation for rotatory motion of the concentrated mass about its central axis and parallel to y-axis is in which is the angular acceleration, takes the form EI @
FORCED VIBRATION OF TWO BEAMS JOINED WIT
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1996
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An analytical model is proposed which consists of two Euler-Bernoulli beams joined by a torsional spring with linear and cubic stiffness. The method of harmonic balance is used to find an approximate solution for simply supported and clamped end conditions. Specifically, a one term harmonic balance
A STUDY ON NON-LINEAR FREE VIBRATION OF
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B.P. Patel; M. Ganapathi; M. Touratier
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Article
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1997
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Elsevier Science
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English
โ 144 KB
Non-linear free vibration of a beam with
โ
N.G.R. Iyengar; P.N. Murthy
๐
Article
๐
1972
๐
Elsevier Science
๐
English
โ 531 KB