The non-linear oscillations of a rod with close values of the cross-section axial moments of inertia |
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| Authors: | A.I. Munitsyn |
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| Affiliation: | 1. CSIR- Advanced Materials and Processes Research Institute, Bhopal 462064, India;2. School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, United States;3. Enhanced Composites & Structures Centre, School of Aerospace, Transport and Manufacturing, Cranfield University, Cranfield, Bedfordshire MK43 0AL, England, UK;1. College of Engineering, Sungkyunkwan University, 300, Cheongcheong-dong, Jangan-gu, Suwon 440-746, Republic of Korea;2. Department of Civil and Environmental Engineering, Sungkyunkwan University, 300, Cheongcheong-dong, Jangan-gu, Suwon 440-746, Republic of Korea;1. Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, Iran;2. Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran |
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| Abstract: | An analytical solution of the problem of the forced flexural oscillations of a rod with fixed hinged supports is presented. The rod has close natural frequencies of flexural oscillations in two mutually perpendicular planes due to the close values of the principal axial moments of inertia of the cross-section. The geometrical non-linearity, due to the change in the length of the middle line of the rod when it undergoes three-dimensional motion, is taken into account. The oscillations of the rod in the neighbourhood of the principal and first superharmonic resonances are investigated. |
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