Abstract
The stiffness and mass matrices of a twisted beam element with linearly varying breadth and depth are derived. The angle of twist is assumed to vary linearly along the length of the beam. The effects of shear deformation and rotary inertia are considered in deriving the elemental matrices. The first four natural frequencies and mode shapes are calculated for cantilever beams of various depth and breadth taper ratios at different angles of twist. The results are compared with those available in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 187-200 |
| Number of pages | 14 |
| Journal | Journal of Sound and Vibration |
| Volume | 56 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 22 1978 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Acoustics and Ultrasonics
- Condensed Matter Physics
- Engineering(all)
Cite this
Finite element eigenvalue analysis of tapered and twisted Timoshenko beams. / Gupta, R. S.; Rao, Singiresu S.
In: Journal of Sound and Vibration, Vol. 56, No. 2, 22.01.1978, p. 187-200.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Finite element eigenvalue analysis of tapered and twisted Timoshenko beams
AU - Gupta, R. S.
AU - Rao, Singiresu S
PY - 1978/1/22
Y1 - 1978/1/22
N2 - The stiffness and mass matrices of a twisted beam element with linearly varying breadth and depth are derived. The angle of twist is assumed to vary linearly along the length of the beam. The effects of shear deformation and rotary inertia are considered in deriving the elemental matrices. The first four natural frequencies and mode shapes are calculated for cantilever beams of various depth and breadth taper ratios at different angles of twist. The results are compared with those available in the literature.
AB - The stiffness and mass matrices of a twisted beam element with linearly varying breadth and depth are derived. The angle of twist is assumed to vary linearly along the length of the beam. The effects of shear deformation and rotary inertia are considered in deriving the elemental matrices. The first four natural frequencies and mode shapes are calculated for cantilever beams of various depth and breadth taper ratios at different angles of twist. The results are compared with those available in the literature.
UR - http://www.scopus.com/inward/record.url?scp=0017906813&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0017906813&partnerID=8YFLogxK
U2 - 10.1016/S0022-460X(78)80014-5
DO - 10.1016/S0022-460X(78)80014-5
M3 - Article
AN - SCOPUS:0017906813
VL - 56
SP - 187
EP - 200
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 2
ER -