贮箱中弹性隔层板在流体作用下的振动分析  

Vibration analysis of an elastic plate in a tank with fluid influence

作　　者：郝亚娟[1] 白象忠[2] 杨阳[2] 

机构地区：[1]燕山大学理学院,秦皇岛066004 [2]燕山大学建筑工程与力学学院,秦皇岛066004

出　　处：《振动与冲击》2010年第7期132-134,215,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金(50875230);河北省自然科学基金(A2006000190)资助项目

摘　　要：在文献[12]研究的基础上,采用单一拉格朗日法,对一水平放置、位于不同密度理想流体贮箱中矩形隔层板的耦合振动问题进行了研究。给出了单一拉格朗日法流体和隔板运动方程以及边界条件和解的一般形式。讨论了上下层流体的高度、隔层板的几何尺寸、流体密度、流体晃动频率等因素对隔层板动力特性的影响。通过算例,给出了隔层板的动力特性与相关因素之间的关系曲线。分析表明,上层流体的高度、隔板的厚度、板宽、上下层流体密度差对于隔层板的振幅影响较大,隔板的厚度、板宽对于隔层板的共振频率与反共振频率影响较大,而上下层流体密度差影响较小。On the basis of reference [12],the coupled vibration of a horizontal rectangular inner plate of a tank between different ideal fluids was studied by means of single Lagrangian method.With single Lagrangian method,the dynamic equations and boundary conditions of the fluid and the inner plate were presented.Then,the general form of the solution was given.The effects of height of upper and lower fluids,geometric shape of inner plate,density of fluid and liquid sloshing frequency on the dynamic characteristics of the inner plate were analyzed.The relationship between the dynamic characteristics of the inner plate and the correlative factors was presented with examples.Analysis results indicated that the upper fluid's height,the plate's thickness,the plate's width and the density difference between the upper fluid and the lower one have important effects on the amplitude of the inner plate;the plate's thickness and the plate's width have important effects on the plate's resonance frequency and its anti-resonance frequency;on the contrary,the density difference has a little effect on them.

关 键 词：单一拉格朗日法 贮箱 隔层板 流体密度 振动 

分 类 号：O368[理学—流体力学] O39[理学—力学]