Nonlinear Vibration of Multi-Surface Liquid in a Lilguid Surface Tank

液面罐中多表面液体的非线性振动

• 批准号: 11450094
• 负责人: KIMURA Koji
• 金额: $ 4.35万
• 依托单位: Tokyo Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B).
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-11450094/
• 关键词: Liquid Sloshing; Multi-Surface; Flow Induced Vibration; Nonlinear Vibration; Rectangular Tank; Internal Resonance; 液面搖動; 液体関連振動

The characteristics of multi-surface liquid motion in a rectangular tank are investigated. The rectangular tank is divided into two parts by the partition, which is perpendicular to the bottom of the tank and does not reach the bottom.An approximate analytical method is developed for obtaininng the dynamic behavior of mult-surface liquid motion. Nonlinearity of the liquid surface oscillation is considered in the response analysis of the sloshing motion. The nonlinear ordinary differential equations governing the liquid surface oscillation are derived by applying Galerkin's method.Firstly, the natural frequencies and corresponding mode shapes are obtained by applying boundary element method to the Laplace equation with linearized boundary conditions. Then the time histories and the frequency responses of the liquid surface displacement in the tank stubjected to pitching excitation are calculated by solving the nonlinear ordinary differential equations.An experiment was conducted by using a model tank. The natural frequencies and the time histories of the liquid surface displacement to the pitching excitation are measured. A fairly good agreement was found between the theoretical and experimental results.The effects of the distance between the partition and the tank bottom upon the natural frequencies, corresponding mode shapes and the liquid surface displacement responses are clarified. It is shown that the growth of the higher order mode is observed and can be explained by nonlinear mode coupling and internal resonance and that the nonlinear analysis is important for estimating the sloshing characteristics.

研究了矩形罐内多表面液体运动特性。矩形罐被隔板分成两部分，隔板垂直于罐底且不到达底部。建立了一种近似解析方法来获得多表面液体运动的动态行为。晃动响应分析中考虑了液面振荡的非线性。应用伽辽金法推导了控制液面振动的非线性常微分方程。首先，对具有线性边界条件的拉普拉斯方程应用边界元法，得到了固有频率和相应的模态振型。然后通过求解非线性常微分方程，计算了在纵摇激励下罐内液面位移的时程和频率响应。利用模型罐进行了实验。测量液体表面位移到俯仰激励的固有频率和时间历程。理论结果与实验结果吻合较好。阐明了隔板与罐底距离对固有频率、相应模态振型和液面位移响应的影响。结果表明，观察到了高阶模态的增长，并且可以通过非线性模态耦合和内部共振来解释，并且非线性分析对于估计晃动特性非常重要。

项目成果

H.TAKAHARA, Y.HIKITA and K.KIMURA: "Nonlinear Vibration of Multi-Surface Liquid in a Rectangular Tank"Proc. 7th Annual Meeting in Kanto Branch, JSME. No.010-1. 307-308 (2001)

H.TAKAHARA、Y.HIKITA 和 K.KIMURA：“矩形罐中多表面液体的非线性振动”Proc。

木村康治,高原弘樹,疋田洋一: "多液面を有する直方体容器内液面の2次元自由振動解析"日本機械学会機械力学・計測制御講演アブストラクト集. 00-6. 151 (2000)

Koji Kimura、Hiroki Takahara、Yoichi Hikita：“多液位长方体容器中液位的二维自由振动分析”日本机械工程学会机械动力学、仪器仪表与控制讲座摘要集00-6。 151 (2000)

高原弘樹,疋田洋一,木村康治: "多液面を有する容器内液面の非線形振動"日本機械学会関東支部第7期総会講演会講演論文集. 010-1. 307-308 (2001)

Hiroki Takahara、Yoichi Hikita、Koji Kimura：“具有多个液位的容器中的液位的非线性振动”日本机械工程师学会关东分会第七次大会论文集 010-1. ）

K.KIMURA, H.TAKAHARA and Y.HIKITA: "Free Vibration Analysis of Multi-Surface Liquid Motion in a Rectangular Tank"Proc. Dynamics and Design Conf. 2000, JSME. No.00-6. 151 (2000)

K.KIMURA、H.TAKAHARA 和 Y.HIKITA：“矩形罐中多表面液体运动的自由振动分析”Proc。

木村康治,高原弘樹,疋田洋一: "多液面を有する直方体容器内液面の2次元自由振動解析"日本機械学会 機械力学・計測制御講演アブストラクト集. 00-6. 151 (2000)

Koji Kimura、Hiroki Takahara、Yoichi Hikita：“具有多个液位的长方体容器中液位的二维自由振动分析”日本机械工程师学会，机械动力学和仪表控制讲座摘要 00-6。 (2000)