Affiliation:
1. National Research University — Moscow Power Engineering Institute
Abstract
Numerous features of non-conservative mechanical systems identified in studying their stability determine significant theoretical and practical interest to analyze various options of the calculation schemes. The paper considers stability of a rectilinear rod connected at one end to a joint and loaded with follower and potential loads uniformly distributed along the rod length. The joint was rigid with respect to rotation of the rod end. In order to apply the method of expanding solution to the perturbed motion equation into a series in terms of eigenmodes, the problem of determining the system eigenfrequencies and modes was solved. The cases of separate and combined action of the follower and potential loads were considered. A study was made on the influence of rigidity of the rod fastening and damping in the system on the loads critical values and on the position of the stability region boundaries on the loading parameters plane.
Publisher
Bauman Moscow State Technical University
Reference19 articles.
1. Koiter W.T. Unrealistic follower forces. J. Sound Vib., 1996, vol. 194, no. 4, pp. 636–638, doi: https://doi.org/10.1006/jsvi.1996.0383
2. Sugiyama Y., Langthjem M.A., Ryu B.J. Realistic follower forces. J. Sound Vib., 1999, vol. 225, no. 4, pp. 779–782, doi: https://doi.org/10.1006/jsvi.1998.2290
3. Elishakoff I. Controversy associated with the so-called «follower forces»: critical overview. Appl. Mech. Rev., 2005, vol. 58, no. 2, pp. 117–142, doi: https://doi.org/10.1115/1.1849170
4. Beck M. Die Knicklast des einseitig eingespannten, tangential gedr?ckten Stabes. ZAMP, 1952, vol. 3, no. 3, pp. 225–228, doi: https://doi.org/10.1007/BF02008828
5. Bolotin V.V. Nekonservativnye zadachi teorii uprugoy ustoychivosti [Nonconservative problems of elastic stability theory]. Moscow, Fizmatgiz Publ., 1961. 340 p. (In Russ.).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献