A Method for Calculating the Dynamics of Rotating Flexible Structures, Part 1: Derivation

[+] Author and Article Information
D. J. Segalman, C. R. Dohrmann

Structural Dynamics Department, Sandia National Laboratories, Albuquerque, NM 87185

J. Vib. Acoust 118(3), 313-317 (Jul 01, 1996) (5 pages) doi:10.1115/1.2888183 History: Received December 01, 1993; Online February 26, 2008


The problem of calculating the vibrations of rotating structures has challenged analysts since it was observed that the use of traditional modal approaches may incorrectly lead to the prediction of infinite deformation when rotation rates exceed the first natural frequency. Much recently published work on beams has shown that such predictions are artifacts of incorporating incomplete kinematics into the analysis, but only simple structures such as individual beams and plates are addressed. The authors present a new approach to analyzing rotating flexible structures that applies to the rotation of general linear (unjointed) structures, using a system of nonlinearly coupled deformation modes. This technique, tentatively named a Method of Quadratic Components , utilizes a nonlinear configuration space in which all kinematic constraints are satisfied up to second order.

Copyright © 1996 by The American Society of Mechanical Engineers
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