Static instability analysis for travelling membranes and plates interacting with axially moving ideal fluid |
| |
| Authors: | N Banichuk J Jeronen P Neittaanmäki T Tuovinen |
| |
| Institution: | 1. Institute for Problems in Mechanics RAS, Prosp. Vernadskogo 101, Block 1, Moscow 119526, Russian Federation;2. Department of Mathematical Information Technology, University of Jyväskylä, Mattilanniemi 2, Jyväskylä 40014, Finland;1. Department of Mechanical Engineering, National Institute of Technology, Raipur, Chhatisgarh 492010, India;2. Department of Mechanical Engineering, Shri Shankaracharya Technical Campus, SSGI, Bhilai, Chhattisgarh 490020, India;1. Australian School of Advanced Medicine, Macquarie University, Sydney, Australia;2. Mechanical Engineering Division, Korea Atomic Energy Research Institute, 989-111 Daedeok-daero, Yuseong, Daejeon 305-353, Republic of Korea;3. Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, QC, Canada H3A2K6;1. Department of Aerospace Engineering, IIT Madras, Chennai, 600036, India;2. Department of Aerospace Engineering, PEC University of Technology, Sector 12, Chandigarh, 160012, India |
| |
| Abstract: | The out-of-plane instability of a moving plate, travelling between two rollers with constant velocity, is studied, taking into account the mutual interaction between the buckled plate and the surrounding, axially flowing ideal fluid. Transverse displacement of the buckled plate (assumed cylindrical) is described by an integro-differential equation that includes the centrifugal force, the aerodynamic reaction of the external medium, the vertical projection of membrane tension, and the bending force. The aerodynamic reaction is found analytically as a functional of the displacement. To find the critical divergence velocity of the moving plate and its corresponding buckling mode, an eigenvalue problem and variational principle are derived. Plate divergence, both within a vacuum and when submerged in an external medium, is investigated with the application of analytical and numerical techniques. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
