Dynamic Stability of a Cantilevered Timoshenko Beam on Partial Elastic Foundations Subjected to a Follower Force

• Published in: Journal of mechanical science and technology Vol. 20; no. 9; pp. 1355 - 1360
• Main Authors: Ryu, Bong-Jo, Shin, Kwang-Bok, Yim, Kyung-Bin, Yoon, Young-Sik
• Format: Journal Article
• Language: English
• Published: Seoul 대한기계학회 01.09.2006; Korean Society of Mechanical Engineers; Springer Nature B.V
• Subjects: Cantilever beams; Dynamic stability; Elastic deformation; Exact sciences and technology; Finite element method; Foundations; Fundamental areas of phenomenology (including applications); Mathematical analysis; Physics; Rotary inertia; Solid mechanics; Structural and continuum mechanics; Studies; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); 기계공학; Dynamic Stability; Follower Force; Partial Elastic Foundations; Cantilevered Timoshenko Beam; Timoshenko beam; Continuous support; Non conservative system; Fastener; Cantilever beam; Finite element method; Added mass; Dynamic stability; Critical load; Flutter; Follower force; Inertia; Elastic beam; Elastic foundations; Hamilton principle
• ISSN: 1738-494X; 1976-3824
• DOI: 10.1007/BF02915958

This paper presents the dynamic stability of a cantilevered Timoshenko beam with a concentrated mass, partially attached to elastic foundations, and subjected to a follower force. Governing equations are derived from the extended Hamilton's principle, and FEM is applied to solve the discretized equation. The influence of some parameters such as the elastic foundation parameter, the positions of partial elastic foundations, shear deformations, the rotary inertia of the beam, and the mass and the rotary inertia of the concentrated mass on the critical flutter load is investigated. Finally, the optimal attachment ratio of partial elastic foundation that maximizes the critical flutter load is presented.[PUBLICATION ABSTRACT]