Journal of Shanghai Jiaotong University >
Dynamic Characteristics of Two-Dimensional Structures Slamming Under Free Fall Condition
Received date: 2022-06-01
Revised date: 2022-10-30
Accepted date: 2022-11-10
Online published: 2023-03-21
The slamming process of two-dimensional structures under free fall condition with arbitrary symmetrical shapes is investigated by combining various analytical models for slamming and the precise integration method in the time domain. By closely analyzing the mathematical expression of analytical models, the total slamming force acting on the body can be decomposed into two terms which are dependent on the velocity and the acceleration respectively. The developed model proposed in this paper is validated against the results from experiments and other numerical methods. Moreover, it is found that if the gravity of body is ignored, which is a reasonable assumption for situations such as structures with light weight or large entry velocity, the maximum acceleration (or the peak slamming force) for a free fall body will always occur at the certain penetration depth for a particular shape and mass, regardless of the initial slamming velocity.
Zhe SUN , Xupeng SUI , Alexander KOROBKIN , Yanzeng DENG , Guiyong ZHANG , Zhi ZONG , Yichen JIANG . Dynamic Characteristics of Two-Dimensional Structures Slamming Under Free Fall Condition[J]. Journal of Shanghai Jiaotong University, 2023 , 57(11) : 1410 -1420 . DOI: 10.16183/j.cnki.jsjtu.2022.189
[1] | LAVROFF J, DAVIS M R, HOLLOWAY D S, et al. Wave impact loads on wave-piercing catamarans[J]. Ocean Engineering, 2017, 131: 263-271. |
[2] | VON KARMAN T. The impact on seaplane floats during landing[R]. Washington, USA: National Advisory Committee for Aeronautics, 1929. |
[3] | WAGNER H. Uber stoss-und gleitvorgange an der oberflache von flussigkeiten[J]. Zeitschrift für Angewandte Mathematik und Mechanik, 1932, 12(4): 193-215. |
[4] | DOBROVOL’SKAYA Z N. On some problems of similarity flow of fluid with a free surface[J]. Journal of Fluid Mechanics, 1969, 36(4): 805-829. |
[5] | ZHAO R, FALTINSEN O, AARSNES J. Water entry of arbitrary two-dimensional sections with and without separation[C]// 21st Symposium on Naval Hydrodynamics. Washington, USA: The National Academies Press, 1996: 408-423. |
[6] | COINTE R, ARMAND J L. Hydrodynamic impact analysis of a cylinder[J]. Journal of Offshore Mechanics Arctic Engineering, 1987, 107: 237-243. |
[7] | HOWISON S D, OCKENDON J R, WILSON S K. Incompressible water-entry problems at small deadrise angles[J]. Journal of Fluid Mechanics, 1991, 222: 215-230. |
[8] | OLIVER M J. Water entry and related problems[D]. Oxford, UK: University of Oxford, 2002. |
[9] | 段文洋, 朱鑫, 倪阳, 等. 考虑流动分离的有限宽楔形剖面匀速入水受力分析[J]. 船舶力学, 2013, 17(8): 911-919. |
[9] | DUAN Wenyang, ZHU Xin, NI Yang, et al. Constant velocity water entry of finite wedge section with flow separation[J]. Journal of Ship Mechanics, 2013, 17(8): 911-919. |
[10] | TASSIN A, PIRO D J, KOROBKIN A A, et al. Two-dimensional water entry and exit of a body whose shape varies in time[J]. Journal of Fluids and Structures, 2013, 40: 317-336. |
[11] | KOROBKIN A A. Water impact problems in ship hydrodynamics[M]. Southampton, UK: Computational Mechanics Publications, 1996. |
[12] | KOROBKIN A A. Formulation of penetration problem as a variational inequality[J]. Dinamika Sploshnoi Sredy, 1982, 58: 73-79. |
[13] | KOROBKIN A A, PUKHNACHOV V V. Initial stage of water impact[J]. Annual Review of Fluid Mechanics, 1988, 20(1): 159-185. |
[14] | PANCIROLI R, PORFIRI M. Evaluation of the pressure field on a rigid body entering a quiescent fluid through particle image velocimetry[J]. Experiments in Fluids, 2013, 54: 1360. |
[15] | PANCIROLI R, PORFIRI M. Analysis of hydroelastic slamming through particle image velocimetry[J]. Journal of Sound and Vibration, 2015, 347: 63-78. |
[16] | BARJASTEH M, ZERAATGAR H, JAVAHERIAN M J. An experimental study on water entry of asymmetric wedges[J]. Applied Ocean Research, 2016, 58: 292-304. |
[17] | SHAMS A, JALALISENDI M, PORFIRI M. Experiments on the water entry of asymmetric wedges using particle image velocimetry[J]. Physics of Fluids, 2015, 27(2): 027103. |
[18] | RUSSO S, JALALISENDI M, FALCUCCI G, et al. Experimental characterization of oblique and asymmetric water entry[J]. Experimental Thermal and Fluid Science, 2018, 92: 141-161. |
[19] | AARSNES J V. Drop test with ship sections-effect of roll angle[R]. Trondheim, Norway: Norwegian Marine Technology Research Institute, 1996. |
[20] | SUN H. A boundary element method applied to strongly nonlinear wave-body interaction problems[D]. Trondheim, Norway: Norwegian University of Science and Technology, 2007. |
[21] | ZHU X Y. Application of the CIP method to strongly nonlinear wave-body interaction problems[D]. Trondheim, Norway: Norwegian University of Science and Technology, 2006. |
[22] | BAO C M, WU G X, XU G. Water entry of a finite width wedge near a floating body[J]. Applied Ocean Research, 2019, 84: 12-31. |
[23] | WU G X, SUN H, HE Y S. Numerical simulation and experimental study of water entry of a wedge in free fall motion[J]. Journal of Fluids and Structures, 2004, 19(3): 277-289. |
[24] | XU G D, DUAN W Y, WU G X. Simulation of water entry of a wedge through free fall in three degrees of freedom[J]. Proceedings of the Royal Society A, 2010, 466: 2219-2239. |
[25] | KOROBKIN A A. Analytical models of water impact[J]. European Journal of Applied Mathematics, 2004, 15(6): 821-838. |
[26] | TASSIN A, JACQUES N, EL MALKI, et al. Assessment and comparison of several analytical models of water impact[J]. The International Journal of Multiphysics, 2010, 4(2): 125-140. |
[27] | KOROBKIN A A, KHABAKHPASHEVA T, MALENICA S, et al. A comparison study of water impact and water exit models[J]. International Journal of Naval Architecture and Ocean Engineering, 2014, 6(4): 1182-1196. |
[28] | LOGVINOVICH G V. Hydrodynamics of flows with free boundaries[R]. Washington, USA: U. S. Department of Commerce, 1972. |
[29] | ZHONG W X. On precise integration method[J]. Journal of Computational and Applied Mathematics, 2004, 163(1): 59-78. |
[30] | 吕和祥, 于洪洁, 裘春航. 精细积分的非线性动力学积分方程及其解法[J]. 固体力学学报, 2001, 22(3): 303-308. |
[30] | LV Hexiang, YU Hongjie, QIU Chunhang. An integral equation of non-linear dynamics and its solution method[J]. Acta Mechanica Solida Sinica, 2001, 22(3): 303-308. |
[31] | KOROBKIN A A. The entry of an elliptical paraboloid into a liquid at variable velocity[J]. Journal of Applied Mathematics and Mechanics, 2002, 66(1): 39-48. |
[32] | SCOLAN Y M, KOROBKIN A A. Energy distribution from vertical impact of a three-dimensional solid body onto the flat free surface of an ideal fluid[J]. Journal of Fluids and Structures, 2003, 17(2): 275-286. |
[33] | KOROBKIN A A, MALENICA ?. Modified Logvinovich model for hydrodynamic loads on asymmetric contours entering water[C]//Grue J. 20th International Workshop on Water Waves and Floating Bodies. Longyearbyen, Norway: University of Oslo, 2005: 50-54. |
/
〈 |
|
〉 |