轴向移动局部浸液单向板非线性动力学分析

Nonlinear dynamics for unilateral plates partially immersed in fluid and moving in axial direction

研究轴向移动局部浸液单向板的非线性动力学特性及稳定性。建立单向板非线性振动方程,考虑几何非线性、轴向移动、轴向张力、阻尼、液固耦合作用及非线性气动载荷,利用Galerkin法对振动方程离散化,获得模态坐标的非线性微分方程组。对离散的非线性方程组分别用近似解析法、数值方法进行分析,研究系统的主共振特性。

The characteristics of nonlinear dynamics and stability of a unilateral plate, partially immersed in fluid and moving in axial direction,were investigated.A nonlinear equation of vibration was derived with the consideration of geometric nonlinearity,speed and tension of the unilateral plate in axial direction,damping,fluid-structure interaction and nonlinear air-knife force.The Galerkin method was used to decompose the vibration equation.Then by applying numerical and approximate analytical methods,the nonlinear modal equations were solved,and the primary resonance characteristics of the immersed plate were revealed.