大连理工大学学报
大連理工大學學報
대련리공대학학보
JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY
2014年
6期
618-625
,共8页
王桂波%勾莹%滕斌%曹光磊
王桂波%勾瑩%滕斌%曹光磊
왕계파%구형%등빈%조광뢰
高阶边界元法%铰连接%多浮体%运动响应
高階邊界元法%鉸連接%多浮體%運動響應
고계변계원법%교련접%다부체%운동향응
higher-order boundary element method%hinged connection%multiple floating bodies%motion responses
基于线性势流理论,利用模态法在频域内研究了铰接多浮体结构在规则波作用下的运动响应。首先采用边界元法建立边界积分方程求解水动力系数及波浪激振力,然后基于最小势能原理采用拉格朗日乘子法推导出系统的约束矩阵,并利用该约束矩阵建立系统运动方程求解各运动模态的运动响应幅值。通过与已发表的5个铰接漂浮方箱在规则波作用下运动响应结果的对比,证明了方法的正确性和有效性。以3个铰接的箱型浮体为例,讨论了水深、铰接位置对结构运动响应的影响。研究发现水深、铰接位置均会对结构的运动响应产生一定影响,且对于不同的波浪周期其影响程度也不同。
基于線性勢流理論,利用模態法在頻域內研究瞭鉸接多浮體結構在規則波作用下的運動響應。首先採用邊界元法建立邊界積分方程求解水動力繫數及波浪激振力,然後基于最小勢能原理採用拉格朗日乘子法推導齣繫統的約束矩陣,併利用該約束矩陣建立繫統運動方程求解各運動模態的運動響應幅值。通過與已髮錶的5箇鉸接漂浮方箱在規則波作用下運動響應結果的對比,證明瞭方法的正確性和有效性。以3箇鉸接的箱型浮體為例,討論瞭水深、鉸接位置對結構運動響應的影響。研究髮現水深、鉸接位置均會對結構的運動響應產生一定影響,且對于不同的波浪週期其影響程度也不同。
기우선성세류이론,이용모태법재빈역내연구료교접다부체결구재규칙파작용하적운동향응。수선채용변계원법건립변계적분방정구해수동력계수급파랑격진력,연후기우최소세능원리채용랍격랑일승자법추도출계통적약속구진,병이용해약속구진건립계통운동방정구해각운동모태적운동향응폭치。통과여이발표적5개교접표부방상재규칙파작용하운동향응결과적대비,증명료방법적정학성화유효성。이3개교접적상형부체위례,토론료수심、교접위치대결구운동향응적영향。연구발현수심、교접위치균회대결구적운동향응산생일정영향,차대우불동적파랑주기기영향정도야불동。
Motion responses of hinged multiple floating bodies in regular waves are studied by modal analyses in frequency domain based on the linear potential flow theory.Hydrodynamic coefficients and exciting forces are obtained by solving the boundary integral equations,which are developed by boundary element method.The system motion equations for solving motion amplitude response of motion modals are established by the adoption of constrained matrix,which is derived by the principle of minimum potential energy and the method of Lagrange multipliers.The validity and effectiveness of the presented method is verified by a satisfactory agreement with published results of motion responses of five hinged floating barges under regular waves.At last,taking three hinged floating barges as examples, the influences of water depth and hinged position on motion response are discussed,respectively.The experimental results show that water depth and hinged position have certain impact on the motion response of the structure,and for the different wave periods,the influences are different.