Dynamic Stability of a Spinning Beam Carrying an Axial Dead Load

✍ Scribed by M.B. Rosales; C.P. Filipich

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 323 KB
• Volume: 163
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1993.1165

✦ Synopsis

The linear dynamic behaviour of a uniform beam with its cross-section having at least two symmetry axes (the shear centre is coincident with the centroid), rotating with constant velocity about its longitudinal axis and carrying an axial dead load is analyzed. Internal damping is also considered by means of the viscoelastic behaviour of the beam material described by the Voigt-Kelvin model. The stability of the solution is investigated by characterizing the eigenvalues under the action of the two external control parameters (spin velocity and axial load). In this way instability and stability regions are distinguished in a map as the control parameters vary. Both (linear) divergence and flutter instabilities arise for certain ranges of compressive axial load. The inclusion of internal damping results in qualitative changes in the stability of the motion if compared with the undamped case. The particular case of a beam with (J_{x}=J_{y}) is also included.