๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Torsional frequencies and mode shapes of generally constrained shafts and piping

โœ Scribed by C. Kameswara Rao

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
411 KB
Volume
125
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

EXPLICIT FREQUENCY EQUATION AND MODE SHA
EXPLICIT FREQUENCY EQUATION AND MODE SHAPES OF A CANTILEVER BEAM COUPLED IN BENDING AND TORSION
โœ J.R. BANERJEE ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

Exact explicit analytical expressions which give the natural frequencies and mode shapes of a bending}torsion coupled beam with cantilever end condition are derived by rigorous application of the symbolic computing package REDUCE. The expressions are surprisingly concise and very simple to use. By w

Out-of-plane bending and torsional reson
Out-of-plane bending and torsional resonance frequencies and mode shapes of symmetric cross-ply laminated beams including shear deformation and rotary inertia effects
โœ Y?ld?r?m, Vebil ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB

In this study, the stiness method solution based on the ยฎrst order shear deformation theory is used for the purely out-of-plane (out-of-plane bending and torsional) free vibration analysis of symmetric cross-ply laminated beams. A beam element has six degrees of freedom. The inยฏuence of the rotary i

NATURAL FREQUENCIES AND MODE SHAPES OF A
NATURAL FREQUENCIES AND MODE SHAPES OF A FREEโ€“FREE BEAM WITH LARGE END MASSES
โœ C.L. KIRK; S.M. WIEDEMANN ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

An analytical solution is presented for the natural frequencies, mode shapes and orthogonality condition, of a free}free beam with large o!-set masses connected to the beam by torsion springs. Results are given for a range of masses with various "xed orientations and the validity of the method is co