。1046。 北京科技大学学报 2006年第11期 4000 3500 3000 22500 1500 每1000 500 0 15 1000 时间 10 -800 600 400 水深m -200 00 图5总液动力随时间和水深变化三维曲线 Fig.5 Relationship among the total hyd rodynamic force,time and depth below ocean surface shown by a three dimensional curve 化同时也受到相位角的影响，液动力的最大值在 Math Stat,.1967,38(1):37 1=0,z=0时取得，其值为Fmx=3.790kN.在 [4 Naess A.Yim S C.Stochastic response of offshore structures excited by drag foroes.J Eng Mech,1996.122(5):442 实际工程应用中，应注意第一段扬矿管的材料应 [5]Tung C C.Hung N E.Combined effects of curment and 有足够的强度.接近海底时扬矿管所承受液动力 waves on fluid foree.Ocean Eng.1973.2:183 是递减的.这对扬矿管材料的选取，以及直径和 【(肖林京.深海采矿旷扬矿管运动学和动力学特性研判学位 论丸.北京：北京科技大学，2000：8 壁厚的确定都有重要的参考价值. 【刀黄样鹿，陆鑫森.海洋工程流体力学及结构动力响应上 海：上海交通大学出版社，1992：28 参考文献 [习竺艳蓉.海洋工程波浪力学.天津：天津大学出版社，1991： [刂冯雅丽，李浩然，张云仙。深海采矿扬矿管横向液动力分 10 析.金属矿山1999(3)：1 [9凌胜，肖林京，申焱华，等。深海采矿开采系统运动状态和 [2]简曲.21世纪的大洋采矿.矿山机械，2000(4)：1 动态特性影响因素分析研究.中国工程科学.2002.4(3)： [3]Borgman L.Random hydrodynamie forces on objects.Ann 1 Analysis and calculation of the hydrody namic force of lifting pipes in a I km pi- lot-scale mining system of polymetallic nodules FENG Fuzhang,FENG Yali,ZHANG Wenming Civil and Envirommental Engineering School,University of Science and Technobgy Beijing.Beijing 100083.China ABSTRACT The hydrody namic force of lifting pipes in a I km pilot-scale mining system of poly metallic nodules is determined by many parameters.Based on the integrated design parameters of the I km pilot- scale mining sy stem,the suitable wave theory was selected and all kinds of parameters were presented.A numerical integration procedure was formulated for calculation of the hy drodynamic force according to the Morison equation.The relationship among the force,time and depth below ocean surface was finally stud- ied.At the same depth below ocean surface,the total hydrody namic force is varied with increasing time as a function of sine.While at the specified time,the total hydrodynamic force is decreased with increasing depth below ocean surface.The lapse rate is particularly fast from 0 to 200 m in depth.The maximum of hydrody namic force is 3.790kN. KEY WORDS ocean mining;polymetallic nodules;lifting pipe;hy drody namic force;drag force;inertia force;morison equation (C)1994-2021 China Academic Journal Electronic Publishing House.All rights reserved.http://www.cnki.net图 5 总液动力随时间和水深变化三维曲线 Fig.5 Relationship among the total hydrodynamic force, time and depth below ocean surface shown by a three-dimensional curve 化, 同时也受到相位角的影响, 液动力的最大值在 t =0, z =0 时取得, 其值为 Fmax =3.790 kN .在 实际工程应用中, 应注意第一段扬矿管的材料应 有足够的强度.接近海底时扬矿管所承受液动力 是递减的.这对扬矿管材料的选取, 以及直径和 壁厚的确定都有重要的参考价值. 参 考 文 献 [ 1] 冯雅丽, 李浩然, 张云仙.深海采矿扬矿管横向液动力分 析.金属矿山, 1999( 3) :1 [ 2] 简曲.21 世纪的大洋采矿.矿山机械, 2000( 4) :1 [ 3] Borgman L .Random hydrodynamic f orces on objects.Ann Math Stat, 1967, 38( 1) :37 [ 4] Naess A, Yim S C .St ochastic response of offshore structures excited by drag forces.J Eng Mech, 1996, 122( 5) :442 [ 5] Tung C C, Huang N E .Combined eff ects of current and w aves on fluid force.Ocean Eng, 1973, 2:183 [ 6] 肖林京.深海采矿扬矿管运动学和动力学特性研究[ 学位 论文] .北京:北京科技大学, 2000:8 [ 7] 黄祥鹿, 陆鑫森.海洋工程流体力学及结构动力响应.上 海:上海交通大学出版社, 1992:28 [ 8] 竺艳蓉.海洋工程波浪力学.天津:天津大学出版社, 1991: 10 [ 9] 凌胜, 肖林京, 申焱华, 等.深海采矿开采系统运动状态和 动态特性影响因素分析研究.中国工程科学, 2002, 4( 3 ) : 1 Analysis and calculation of the hydrody namic fo rce of lifting pipes in a 1 km pi￾lot-scale mining system of polymetallic nodules FENG Fuzhang , FENG Y ali, ZHANG Wenming Civil and Environmental Engineering School, University of S cience and Technology Beijing, Beijing 100083, China ABSTRACT The hydrody namic force of lifting pipes in a 1 km pilot-scale mining sy stem of polymetallic nodules is determined by many parameters .Based on the integ rated desig n parameters of the 1 km pilot￾scale mining sy stem, the suitable w ave theory w as selected and all kinds of parameters were presented .A numerical integ ration procedure w as formulated fo r calculation of the hy drodynamic fo rce according to the M orison equation .The relationship among the force, time and depth below ocean surface w as finally stud￾ied .At the same depth below ocean surface, the total hydrody namic force is varied with increasing time as a function of sine .While at the specified time, the to tal hydrodynamic fo rce is decreased with increasing depth below ocean surface .The lapse rate is particularly fast from 0 to 200 m in depth .The maximum of hydrody namic force is 3.790 kN . KEY WORDS ocean mining ;polymetallic nodules ;lifting pipe ;hy drody namic force;drag force ;inertia force;morison equation · 1046 · 北 京 科 技 大 学 学 报 2006 年第 11 期