Mathematical modeling of three-layer beam hydroelastic oscillations
作者: L. I. MogilevichV. S. PopovA. A. PopovaA. V. ChristoforovaE. V. Popova
作者单位: 1Yuri Gagarin State Technical University of Saratov , Saratov , Russia
2Saratov State University , Saratov , Russia
刊名: Vibroengineering PROCEDIA, 2017, Vol.12 , pp.12-18
来源数据库: JVE International Ltd
DOI: 10.21595/vp.2017.18462
关键词: hydroelasticityvibrationthree-layer beamviscous liquidmathematical modeling
原始语种摘要: The problem of hydroelastic oscillations of three-layer beam interacting with viscous liquid layer is set up and analytically solved. The problem presents the equation system of a three-layer beam and Navier-Stokes equations. The following boundary conditions are chosen: the no-slip conditions, the conditions for pressure at the edges, the simply supported edges conditions. The problem is solved for the steady-state harmonic regime. The frequency dependent distribution functions of the beam deflection are constructed. The given function allows investigating the resonance hydroelastic oscillations of a three-layer beam, as well as its deflected mode.
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  • three 
  • conditions 条件式
  • hydroelastic 水力弹性的
  • layer 
  • equation 方程
  • given 已知的
  • chosen 选择
  • interacting 相克的
  • analytically 分析上
  • problem 题目