弹性底板矩形贮箱流固耦合系统的自由振动分析  

Free Vibrations of Solid-Fluid Interaction Rectangular Containers with Elastic Bottoms

作　　者：傅衣铭[1] 徐晓贤[1] 

机构地区：[1]湖南大学工程力学系,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2006年第1期33-37,共5页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10272042)

摘　　要：基于Bernoulli方程,通过对弹性体与流场耦合作用机理的分析,建立了弹性底板矩形贮箱流固耦合系统的自由振动方程.将系统的自由振动问题降为一维问题来处理,提出了一种分析此系统自由振动问题的半解析方法,并采用迦辽金方法,求解了系统的自由振动频率.最后讨论了弹性底板的抗弯刚度、结构几何参数以及液体的深度与密度对系统自由振动频率的影响,以便更确切地反映弹性底板矩形贮箱与流体耦合作用的实际机理.Based on Bernoulli equation, the mechanism of solid-fluid interaction was analyzed, and the free vibration equations of solid-fluid interaction rectangular containers with elastic bottoms were established. The free vibrations of the system were disposed as one-demension problems, a semi-analytical method was presented to analyze the free vibrations of the systems, and the free vibration frequencies were obtained by Galerkin method. The effects of the flexural rigidities and structural geometric constants of the elastic bottom plates and the depth and density of the liquid on the frequencies of the system were discussed to better reflect the practical mechanism of solid-fluid interaction.

关 键 词：弹性底板 矩形贮箱 自由振动 流固耦舍 

分 类 号：O353.4[理学—流体力学]