摘要
为解决传统等效力学模型描述贮箱内液体晃动特性时在准确性和完整性等方面存在不足的问题,首先,运用势流理论推导出部分充液圆柱贮箱的动力学状态方程,依据方程中液体晃动速度势函数与晃动波高函数中傅里叶-贝塞尔级数展开系数的正交性条件,将球形贮箱内液体晃动的求解区域向与之外切的圆柱贮箱求解区域内进行扩展,建立用于描述球形贮箱内液体晃动问题的参数化模型;然后,通过CFD数值模拟实验得到球形贮箱受横向简谐激励时小幅晃动情况下的液体晃动力和力矩;最后,利用Matlab灰箱辨识函数对所建立的参数化模型中的待定系数进行准确辨识,实现了球形贮箱内液体横向晃动问题的高精度等效建模。结果表明:所建立的参数化等效力学模型能较准确和完整地描述球形贮箱内的液体晃动固有频率、晃动力和晃动力矩等动力学特性,辨识精度均能达到92%以上,为进一步在线实时辨识与实际工程应用提供参考。
The study aims at inaccuracy and incompleteness of the traditional equivalent mechanical model in describing the sloshing characteristics of the liquid in the tank.Firstly,we derive the dynamic state equation of partially liquid-filled cylindrical tank by using potential flow theory and expand the solution area of liquid sloshing in the spherical tank to the solution area of the cylindrical tank tangent to the outside based on the orthogonality condition of the Fourier-Bessel series expansion coefficient in the liquid sloshing velocity potential function and the sloshing wave height function in the equation,thus establishing a parameterized model to describe the liquid sloshing in the spherical tank.Then,we obtain the liquid sloshing force and torque of the spherical tank under lateral harmonic excitation with small sloshing through the CFD simulation experiment.Finally,we use the gray box identification function of Matlab to identify the undetermined coefficients in the established parameterized model,realizing the high-precision equivalent modeling of the liquid lateral sloshing in the spherical tank.The results show that the parameterized equivalent mechanical model can describe the natural frequency,sloshing force and torque of the liquid in the spherical tank more accurately and completely,and the identification accuracy can reach over 92%,which can give reference for the online real-time identification and practical engineering.
作者
王佐
吴文军
姜丙超
高超南
WANG Zuo;WU Wenjun;JIANG Bingchao;GAO Chaonan(School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545616,China)
出处
《广西科技大学学报》
2022年第3期1-7,共7页
Journal of Guangxi University of Science and Technology
基金
国家自然科学基金项目(11862001)资助。
关键词
球形贮箱
液体晃动
参数化模型
CFD数值模拟
灰箱辨识
系统辨识
spherical tank
liquid sloshing
parametric modeling
CFD simulation
gray box identification
system identification
