Dynamical Analysis on a Mass at the Tip of a Flexible Rod on a Rotating Base

Zhan Fang Liu; Xiao Wei Guo

doi:10.4028/www.scientific.net/AMM.105-107.536

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 105-107Dynamical Analysis on a Mass at the Tip of a...

Dynamical Analysis on a Mass at the Tip of a Flexible Rod on a Rotating Base

Abstract:

Abstract: A dynamical analysis on a mass fixed at the tip of a massless flexible rod mounting on a rotating rigid body is presented in which the motion of the mass is kept in the plane of rotation as small deformation of the rod is assumed. For the rigid body undergoing a constant angular velocity the centrifugal forces and Coriolis force on the mass are considered. There exist two dynamic frequencies in which the first order dynamic frequency decreases with rotational velocity up to zero that is associated with a limit rotational velocity of the system. The motion trajectories of the mass in the rotational plane at different rotational velocities exhibit multiple traces with respect to the conventional line trace and may be split into the non-eccentric and eccentric portions. With a view on the change of amplitudes a critical rotational velocity is discussed.

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Periodical:

Applied Mechanics and Materials (Volumes 105-107)

Pages:

536-540

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.105-107.536

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Online since:

September 2011

Authors:

Zhan Fang Liu, Xiao Wei Guo

Keywords:

Coriolis Force, Dynamic Frequency, Eccentric, Motion Trajectory, Rotation

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References

[1] TM Wasfy, AK Noor: Computational strategies for flexible multibody systems. Appl Mech Rev 56(6): 553-613 (2003).

DOI: 10.1115/1.1590354

Google Scholar

[2] AA Shabana: Flexible multibody dynamics: Review of past and recent developments. Multibody System Dynamics 1: 189-222 (1997).

DOI: 10.1023/a:1009773505418

Google Scholar

[3] H. I. WEBER: A note on the stability of a rod subjected to compression by centrifugal force. Journal of Sound and Vibration 46(1), 105-111 (1976).

DOI: 10.1016/0022-460x(76)90820-8

Google Scholar

[4] AG Hernried GB Gustafson: On the dynamic response of a Single-Degree-of-Freedom Structure Attached to the Interior of a Rotating Rigid Ring. Journal of Applied Mechanics 55, 201-205(1988).

DOI: 10.1115/1.3173631

Google Scholar

[5] M Brons, PG Hjorth and W Kliem: Coriolis effects in the dynamics of a rotating elastic structure. Acta Mechanica 116, 223-227 (1996).

DOI: 10.1007/bf01171432

Google Scholar

[6] B Palais, R Palais: Euler's fixed point theorem: the axis of a rotation. J. Fixed Point Theory and Applications 2: 215-220, (2007).

DOI: 10.1007/s11784-007-0042-5

Google Scholar