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NON-LINEAR FREE VIBRATIONS OF A ROTATING FLEXIBLE ARM

✍ Scribed by M.N. HAMDAN; B.O. AL-BEDOOR

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
345 KB
Volume
242
Category
Article
ISSN
0022-460X

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✦ Synopsis

The non-linear, moderately large amplitude #exural free vibrations of an arm clamped with a setting angle to a rigid rotating hub are studied. The shear deformation and rotary inertia e!ects are assumed to be negligible, but account is taken of axial inertia, non-linear curvature and the inextensibility condition. The Lagrangian approach in conjunction with the assumed modes method, assuming constant hub rotation speed, is used in a consistent manner to obtain the third order non-linear uni-modal temporal problem. Because of the strength of the non-linearities in the temporal problem, which includes elastic and inertial geometric sti!ening as well as inertial softening terms, a time transformation method is employed to obtain an approximate solution to the frequency}amplitude relation of arm free oscillation. Results in non-dimensional form are presented graphically, for the e!ect of hub rotation speed, blade setting angle, and hub radius on the variation of the natural frequency with vibration amplitude.

πŸ“œ SIMILAR VOLUMES

GEOMETRICALLY NON-LINEAR DYNAMIC MODEL O
GEOMETRICALLY NON-LINEAR DYNAMIC MODEL OF A ROTATING FLEXIBLE ARM
✍ B.O. AL-BEDOOR; M.N. HAMDAN πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 184 KB

In this paper, a mathematical model for a rotating #exible arm undergoing large planar #exural deformations is developed. The position of a typical material point along the span of the arm is described by using the inertial reference frame via a transformation matrix from the body co-ordinate system

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A mathematical model for a #exible arm undergoing large planar #exural deformations, continuously rotating under the e!ect of a hub torque and supported by a #exible base is developed. The position of a typical material point along the span of the arm is described using the inertial reference frame

FREE VIBRATION OF FLEXIBLE ROTATING DISK
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✍ M.P. Mignolet; C.D. Eick; M.V. Harish πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 462 KB

Perturbation techniques are employed to estimate the free vibration characteristics, i.e., the natural frequencies and mode shapes, of a flexible rotating disk. The normalized disk stiffness o = 8D/[hb 4 (3 + n)m Β―V2 ] is introduced and treated as a small parameter. Then, singular perturbation solut

FREE OUT-OF-PLANE VIBRATIONS OF A ROTATI
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✍ G. Pohit; A.K. Mallik; C. Venkatesan πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 190 KB

Free, out-of-plane vibration of a rotating beam with a non-linear, elastomeric constraint has been investigated. The elastomer is modelled as a parallel combination of spring and damper elements. The stiffness and damping parameters are evaluated by using previous experimental data. The linear analy