Abstract
Problems related to the stability and behavior of a cantilevered beam with a tip mass on an elastic foundation and subjected to a distributed follower force are addressed. The stability of a beam partially attached to an elastic foundation is also considered. The dynamic stability of a beam subjected to a distributed follower force is formulated by using finite element method to get a general eigenvalue problem. The influence of the modulus on the elastic foundation and the ratio of the cantilevered beam’s mass to the tip mass on the critical flutter are investigated. Finally, the stability of the cantilevered beam is found to depend on both the modulus of the elastic foundation and the ratio of the cantilevered beam’s mass to the tip mass.
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This paper was recommended for publication in revised form by Associate Editor Hong Hee Yoo
Dr. Jae-On Kim is now adjunct professor of Hanbat National University and president of Shinwall architectural & const. Co. Ltd. He has an excellent background in the architecural structure design and analysis.
Dr. Kee-Seok Lee was educated at the Chungnam National University in Korea Ph.D. degree in mechanical engineering. For 10 years, he has a researcher in the field of mechanical design and control. Especially, he has an excellent background in the vibration control. At university, he has designend and established the control method for measuring Cam Profile without contact and air-bearing control method under disturbances. He is an author of 10 papers.
Dr. Jin-Woo Lee was educated at the Kyushu institute of Technology in JapanPh.D. degree in of life-science and system engineering(Dec., 2006). He is a senior researcher at the steel solution research group of POSCO.
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Kim, JO., Lee, KS. & Lee, JW. Beam stability on an elastic foundation subjected to distributed follower force. J Mech Sci Technol 22, 2386–2392 (2008). https://doi.org/10.1007/s12206-008-0823-9
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DOI: https://doi.org/10.1007/s12206-008-0823-9