VIBRATION AND STABILITY OF A CANTILEVER COLUMN SUBJECT TO A FOLLOWER FORCE PASSING THROUGH A FIXED POINT

• Published in: Journal of sound and vibration Vol. 214; no. 1; pp. 67 - 81
• Main Authors: Tomski, L., Przybylski, J., Gołebiowska-Rozanow, M., Szmidla, J.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 02.07.1998; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Divergence; Fix point; Vibrations (mechanical); Column; Numerical methods; Dynamic stability; Testing equipment; Flutter; Follower force; Cantilever; Experimental study; Conservative system
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1998.1528

The paper describes the stability and natural vibration of column loaded by a force passing through a fixed point. It is proved that the system is conservative and its loss of stability occurs via divergence. On the other hand a change in modes occurring along the fundamental eigencurve, which modifies its slope from positive to negative with the increasing load, is found theoretically and confirmed by the modal analysis. For that reason the system is proposed to be called the divergence–pseudo-flutter system. Experimental results concerning the natural vibration frequency agreed well with the numerical ones.