天津大学学报
天津大學學報
천진대학학보
Journal of Tianjin University
2015年
11期
1001-1008
,共8页
黄磊%刘利琴%唐友刚%张永恒%郭东杰
黃磊%劉利琴%唐友剛%張永恆%郭東傑
황뢰%류리금%당우강%장영항%곽동걸
月池%半解析解%附加质量%线性势流理论
月池%半解析解%附加質量%線性勢流理論
월지%반해석해%부가질량%선성세류이론
moonpool%semi-analytical solution%added mass%linear potential theory
研究了具有矩形月池的钻井船在小幅水平横荡简谐运动激励下的辐射问题。利用简化的底部边界条件,基于线性势流理论建立了钻井船月池二维流体运动方程,利用 Galerkin 方法求得月池内流体速度势,得到月池对船舶的附加质量表达式。利用半解析解,研究了月池的水动力特性及月池参数对船舶水动力参数的影响。以边界元方法建立具有矩形月池结构的钻井船数值模型,数值模拟结果与半解析解进行对比验证。结果表明,在激励频率穿过月池内流体的固有振动频率时,附加质量会依次出现正、负峰值;自由液面及月池底部无量纲速度分布受激励频率及月池无量纲水深的影响较明显;在不同无量纲水深下,半解析解与数值模拟结果吻合较好。
研究瞭具有矩形月池的鑽井船在小幅水平橫盪簡諧運動激勵下的輻射問題。利用簡化的底部邊界條件,基于線性勢流理論建立瞭鑽井船月池二維流體運動方程,利用 Galerkin 方法求得月池內流體速度勢,得到月池對船舶的附加質量錶達式。利用半解析解,研究瞭月池的水動力特性及月池參數對船舶水動力參數的影響。以邊界元方法建立具有矩形月池結構的鑽井船數值模型,數值模擬結果與半解析解進行對比驗證。結果錶明,在激勵頻率穿過月池內流體的固有振動頻率時,附加質量會依次齣現正、負峰值;自由液麵及月池底部無量綱速度分佈受激勵頻率及月池無量綱水深的影響較明顯;在不同無量綱水深下,半解析解與數值模擬結果吻閤較好。
연구료구유구형월지적찬정선재소폭수평횡탕간해운동격려하적복사문제。이용간화적저부변계조건,기우선성세류이론건립료찬정선월지이유류체운동방정,이용 Galerkin 방법구득월지내류체속도세,득도월지대선박적부가질량표체식。이용반해석해,연구료월지적수동력특성급월지삼수대선박수동력삼수적영향。이변계원방법건립구유구형월지결구적찬정선수치모형,수치모의결과여반해석해진행대비험증。결과표명,재격려빈솔천과월지내류체적고유진동빈솔시,부가질량회의차출현정、부봉치;자유액면급월지저부무량강속도분포수격려빈솔급월지무량강수심적영향교명현;재불동무량강수심하,반해석해여수치모의결과문합교호。
A study was carried out on radiation problem of a drilling unit with a rectangular moonpool under low am-plitude horizontal harmonic excitation. The two-dimensional governing equations of the fluid in the moonpool were established based on linear potential theory. The simplified boundary condition was adopted. The fluid velocity poten-tial and the added mass expression of the moonpool was solved by the Galerkin method. The hydrodynamic character-istics of the moonpool were studied and the effect of the moonpool parameters on the drilling unit was revealed. A numerical model of a drilling unit with a rectangular moonpool was built by boundary element method. The results of two methods were compared to verify the semi-analytical solution. The results show that the added mass presents posi-tive and negative peaks when the excitation frequency passes through the natural frequency of the moonpool;the free surface shape and nondimensional velocity distribution are significantly affected by the excitation frequency and the non-dimensional draught of moonpool; the semi-analytical solution fits the numerical result well for different non-dimensional draughts of moonpool.