Vibration and stability analysis of a spinning thin-walled composite beam carrying a rigid body
- PDF / 792,793 Bytes
- 14 Pages / 595.276 x 790.866 pts Page_size
- 9 Downloads / 212 Views
O R I G I NA L
Seher Eken · Melahat Cihan · Metin Orhan Kaya
Vibration and stability analysis of a spinning thin-walled composite beam carrying a rigid body
Received: 24 November 2019 / Accepted: 15 September 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In this paper, we presented the formulation of dynamic stability of spinning thin-walled composite beams carrying rigid bodies. First, we used a circumferentially uniform stiffness lay-up configuration to generate the coupled motion of bending–bending-shear and to solve the eigenvalue problem using the extended Galerkin method. The dynamic stability analysis was carried out for the beam carrying a single rigid body. The divergence and flutter instabilities were found by addressing the effect of the mass ratio and its location along the span of the beam. Along with these, the combined effects of several parameters such as spin speed, axial load, and ply angle were examined to study how they affect the stability of the beam. Keywords Thin-walled composite beams · Divergence and flutter instabilities · Spin speed · Axial load · Ply angle 1 Introduction A great deal of interest has been devoted to the study of the dynamic stability of spinning beams in recent decades. This interest is due to the fact that this type of beams has been employed to model several structures used in aerospace engineering such as rockets, missiles, and launch vehicles. To achieve a reliable and efficient design, the dynamic instabilities have to be eliminated or substantially reduced in the design process. A notable aspect is that these vehicles are designed to carry heavy machinery along their span; therefore, the effect of the mass on the dynamic behavior of the structure has to be carefully addressed in order to avoid the occurrence of any instabilities. In practice, depending on the size and location of the mass, the dynamic response of the beam drastically changes and dynamic instabilities can occur. The literature covering the dynamic instability problem of beams carrying a concentrated mass can be examined in three groups in terms of the beam models used. Firstly, the stability problem is investigated using the Euler beam theory. Wu [1] studied the stability behavior of a flexible missile was idealized as a free-free beam with a concentrated mass under constant thrust, and he found stability characteristics using a finite element method. Park and Mote [2] introduced the stability of a free-free beam carrying a concentrated mass with a maximum controlled follower force and showed how the stability of the beam changed with respect to the axial load and the inertia of the concentrated mass, the location of the follower force direction control sensor, the sensor gain, and the magnitude of the constant follower force. Moreover, Pradhan and Datta [3] investigated S. Eken · M. Cihan (B) Department of Aerospace Engineering, Faculty of Aeronautics and Astronautics, University of Samsun, 55420 Ondokuzmayıs, Samsun, Turkey E-mail: [email protected] M. O.
Data Loading...
