Rigid-Liquid-Flexible Dynamic Formulation for a Two-Dimensional Tank Undergoing Translational and Rotational Motion

doi:10.1007/s12204-014-1494-6

Abstract

Abstract: Considering rigid-liquid-flexible coupling effect, dynamic formulation for a two-dimensional rectangular tank with liquid sloshing connected to a flexible beam is proposed. Differing from the traditional formulation which considered either the rotational motion or the translational motion of the tank, this formulation can be applied for rigid-liquid-flexible coupling dynamic analysis of tank undergoing translational and rotational motion based on the theorem of momentum and the theorem of moment of momentum. Furthermore, stiffening terms are included in the dynamics equations of the flexible beam. Firstly, the dynamic equations of the rigid-liquid coupling system and the flexible beam are derived, respectively, and then by introducing the Lagrange-multipliers, the rigid-liquid-flexible coupling equations can be combined with acceleration constraint equations. Finally, the mix differential-algebraic equations are solved to investigate the rigid-liquid-flexible coupling dynamic performance of the system.

Key words: rigid-liquid-flexible coupling| translational and rotational motion| dynamics

摘要： Considering rigid-liquid-flexible coupling effect, dynamic formulation for a two-dimensional rectangular tank with liquid sloshing connected to a flexible beam is proposed. Differing from the traditional formulation which considered either the rotational motion or the translational motion of the tank, this formulation can be applied for rigid-liquid-flexible coupling dynamic analysis of tank undergoing translational and rotational motion based on the theorem of momentum and the theorem of moment of momentum. Furthermore, stiffening terms are included in the dynamics equations of the flexible beam. Firstly, the dynamic equations of the rigid-liquid coupling system and the flexible beam are derived, respectively, and then by introducing the Lagrange-multipliers, the rigid-liquid-flexible coupling equations can be combined with acceleration constraint equations. Finally, the mix differential-algebraic equations are solved to investigate the rigid-liquid-flexible coupling dynamic performance of the system.

关键词: rigid-liquid-flexible coupling| translational and rotational motion| dynamics

CLC Number:

O 313.7

FAN Wei (樊伟), LIU Jin-yang* (刘锦阳). Rigid-Liquid-Flexible Dynamic Formulation for a Two-Dimensional Tank Undergoing Translational and Rotational Motion[J]. Journal of shanghai Jiaotong University (Science), 2014, 19(2): 233-240.

[1]	WANG Zhiwei, HE Yanping, LI Mingzhi, QIU Ming, HUANG Chao, LIU Yadong. Numerical Simulation and Flow Pattern Evolution of Gas-Liquid Two-Phase Flow Passing Through a 90° Pipe Bend Based on CFD [J]. Journal of Shanghai Jiao Tong University, 2022, 56(9): 1159-1167.
[2]	SONG Shenke, XIA Li, ZOU Zaojian, ZOU Lu. A Numerical Study of Hydrodynamic Interactions Between a Large Cruise Ship and a Container Ship [J]. Journal of Shanghai Jiao Tong University, 2022, 56(7): 919-928.
[3]	QIN Xuesheng (秦雪升), LIU Yuanhe (刘远贺), LI Kebo (黎克波), LIANG Yangang∗ (梁彦刚). Impact Angle/Time Constraint Guidance Design Based on Fast Terminal Error Dynamics [J]. J Shanghai Jiaotong Univ Sci, 2022, 27(6): 823-832.
[4]	WANG Shasha, ZHANG Xiangyu, QIU Guozhi, GONG Jinghai. A Numerical Model for Analysing Response of Membrane Surface Under Ponding Load [J]. Journal of Shanghai Jiao Tong University, 2022, 56(6): 730-738.
[5]	SUN Jian, PENG Bin, ZHU Bingguo. Numerical Simulation and Experimental Study of Oil-Free Double-Warp Air Scroll Compressor [J]. Journal of Shanghai Jiao Tong University, 2022, 56(5): 611-621.
[6]	TANG Genglin, LI Jianjun, LI Yuanhui, ZHANG Longyao, ZHU Wenfeng. Numerical Simulation and Experimental Research of Sheet Hemming Forming Based on Adhesive Filling [J]. Journal of Shanghai Jiao Tong University, 2022, 56(4): 523-531.
[7]	WANG Fangjian, SONG Yuhui, LIU Jin, QIN Han, CHEN Lan. Aerodynamics Characteristics of Slender Body at Extra-wide Range of Angle of Attack in Subsonic and Transonic Speed [J]. Air & Space Defense, 2022, 5(3): 27-37.
[8]	PENG Zhongliang, LU Yun, ZHOU Zhichao, HUANG Zhen, LIU Tailai. Aerodynamic Research on the Problem of Canard-Wing Interference of Rolling Airframe Missile [J]. Air & Space Defense, 2022, 5(3): 52-57.
[9]	WANG Chao, YANG Bo, ZHANG Yuan, GUO Chunyu, YE Liyu. Numerical Simulation and Analysis of Cylindrical Ice Impacting Problem [J]. Journal of Shanghai Jiao Tong University, 2022, 56(3): 368-378.
[10]	HU Jinshuo, HUANG Jianzhe. Dynamics Modeling and Validation of Coaxial Lifting Rotors [J]. Journal of Shanghai Jiao Tong University, 2022, 56(3): 395-402.
[11]	DAI Mengyi, ZHANG Zhihao, TU Jiahuang, HAN Zhaolong, ZHOU Dai, ZHU Hongbo. Aerodynamic Effect of Deflection Angle of Trailing Edge Flap on Vertical Axis Wind Turbine with Different Airfoils [J]. Journal of Shanghai Jiao Tong University, 2022, 56(12): 1619-1629.
[12]	CHEN Zhixin, WANG Yiping, YANG Yafeng, SU Jianjun, YANG Bin. Characteristics of Droplet Transmission in Buses in Different Air Supply Modes [J]. Journal of Shanghai Jiao Tong University, 2022, 56(11): 1532-1540.
[13]	HE Qingbo,JIANG Tianxi. Can AI Be Realized by Manipulating Waves? [J]. Journal of Shanghai Jiao Tong University, 2021, 55(Sup.1): 1-2.
[14]	YAO Zhenwei. How Does the Concept of Topological Defect Advance the Understanding of Condensed Matters? [J]. Journal of Shanghai Jiao Tong University, 2021, 55(Sup.1): 106-107.
[15]	LI Ang, SUN Ren. Hydrodynamics Study of Riser with Helical Strakes Oscillating in Flow [J]. Journal of Shanghai Jiao Tong University, 2021, 55(8): 907-915.