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
FREE VIBRATION OF A SIMPLY SUPPORTED BEAM CARRYING A RIGID MASS AT THE MIDDLE
β Scribed by C.H. CHANG
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 159 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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 @
π SIMILAR VOLUMES
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## A BSTRA CT The present paper deals with an exact solution of the title problem. Modal shapes and natural frequency coefficients are determined for a significant range of the mechanical andgeometric parameters that come into play. When the parameter I/A L z (where I is cross-sectional moment of