排灌机械工程学报2011,Vol.29Issue(1):39-44,6.DOI:10.3969.j.issn.1674-8530.2011.01.009
轴向流中不同约束条件柔性板稳定性分析
Stability of flexible plates with different boundary conditions in axial flow
摘要
Abstract
The partial differential equations of motion based on the inextensibility assumption were derived for flexible plates with different boundary conditions subjected to axial flow. The flexible plates were either clamped or pinned at both ends, or clamped at the leading edge and free at the trailing edge ( cantilevered). The Galerkin method was used to discretize the partial differential equations. The complex modal analysis was adopted to analyze the instability characteristics of the plates. The non-dimensional critical flow velocities were predicted, the relationship between damping, frequency and flow velocity were also discussed. It is shown that for sufficiently high flow velocities the plates may be subject to buckling and flutter. Typically, clamped-clamped and pinned-pinned plates are subject to buckling in their first mode, and to flutter in their higher modes. Furthermore, second mode buckling occurs for pinned-pinned plates, while cantilevered plates flutter in their second and third modes.关键词
柔性板/流固耦合/颤振/复模态分析/伽辽金法Key words
flexible plates/ fluid-structure interaction/ flutter/ complex modal analysis/Galerkin method分类
农业科技引用本文复制引用
刘梅清,赵文胜,蒋劲,林琦..轴向流中不同约束条件柔性板稳定性分析[J].排灌机械工程学报,2011,29(1):39-44,6.基金项目
国家自然科学基金资助项目(50879062) (50879062)
教育部博士点基金资助项目(20090141110057) (20090141110057)