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Effects of Residual Stress on the Hydro-Elastic Vibration of Circular Diaphragm

机译:残余应力对圆形膜片水弹性振动的影响

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The effects of residual stress on the hydro-elastic vibration of circular diaphragm are theoretically investigated by using the added mass approach. The Kirchhoff theory of plates is used to model the elastic thin circular diaphragm on an aperture of an infinite rigid wall and in contact with a fluid on one side. The fluid is assumed to be incompressible and inviscid and the velocity potential is used to describe its irrotational motion. A non-dimensional tension parameter is defined, and the effects of the tension parameter on the frequency parameters and mode shapes of the diaphragm in the air are presented. The Hankel transform is applied to solve the fluid-diaphragm coupled system; boundary conditions are expressed by integral equations. Finally, the effects of residual stress on the non-dimensional added virtual mass incremental (NAVMI) factors of the diaphragm contact with a fluid on one side are investigated. It is found that the effects of the residual stress cannot be neglected when the edges of the circular diaphragm are clamped. The effects of residual stress for NAVMI factors can be increases 11% when the non-dimensional tension parameter is 1000.
机译:理论上,采用附加质量法研究了残余应力对圆形膜片水弹性振动的影响。板的基尔霍夫(Kirchhoff)理论用于在无限刚性壁的孔上建模弹性薄圆形隔膜,并与一侧的流体接触。假定流体不可压缩且不粘稠,并且使用速度势来描述其非旋转运动。定义了无量纲的张力参数,并给出了张力参数对空气中膜片的频率参数和振型的影响。应用汉克尔变换求解流-膜耦合系统。边界条件由积分方程表示。最后,研究了残余应力对隔膜与一侧流体接触的无量纲附加虚拟质量增量(NAVMI)因子的影响。发现,当将圆形膜片的边缘夹紧时,残余应力的影响不能忽略。当无量纲拉伸参数为1000时,残余应力对NAVMI因子的影响可以增加11%。

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