基于半数值方法的限弯器剪弯刚度分析

柔性管缆限弯器存在接触非线性导致剪弯刚度分析困难。为此先基于悬臂梁方程建立剪弯刚度理论模型;然后构建考虑接触边界的锁合结构数值模型,得到其扭转刚度曲线;最后结合理论分析和数值计算求得考虑接触非线性的限弯器剪弯刚度曲线,并同传统的整体数值方法相比较,验证该半数值分析方法的有效性。对比发现基于半数值方法的限弯器剪弯计算效率远高于传统数值方法,其结果误差也满足工程需求;并且限弯器锁合结构处受接触边界影响有明显的非线性;限弯器子梁这一短梁结构基于Timoshenko梁理论计算的结果精度更高也更保守。相较于传统数值方法,该半数值方法用方程直接表达部分参数与剪弯刚度关系,并可以高效地分析限弯器剪弯刚度,使设计工作更加高效。     

多跨海底管道横流向涡激振动预报模型

基于欧拉-伯努力梁理论确定了多跨管道结构振动方程,采用非线性Van der pol方程描述旋涡脱落的尾流动力特性,利用弹簧模拟两端和中间的复杂边界约束,构建了多跨海底管道横流向涡激振动预报模型。基于模态正交性展开流-固耦合作用方程,对各阶主坐标响应进行数值求解。对比了本模型预报结果与试验结果、软件分析以及DNV规范推荐值,吻合情况比较理想。本模型可为深海多跨管道涡激振动的研究、防范和治理提供有效的分析方法。     

内流流速时变输液直管动力特性的数值分析

根据Hamilton变分原理以及Euler-Bernoulli梁理论,推导出两端简支输液直管的自激振动微分方程,与传统的Housner方程相比,该方程增加了管内流体流速时变引起。的耦合力项,因而可用于分析内流流速时变情况下输液管线的动力特性。使用Hermite插值函数和Galerkin法对该微分方程进行离散,得到其有限元形式的表达式。运用该数学模型,通过数值算例,分析了内流流速时变输液直管的动力特性,得出了相应结论。     

薄壁梁约束扭转极限承载能力简化计算方法研究

为了快速并有效地计算海洋平台等薄壁箱型梁结构的约束扭转极限承载能力,进行了薄壁梁约束扭转极限承载能力简化计算方法研究.基于塑性极限状态分析理论,提出了薄壁梁约束扭转极限状态应力分布假设,将薄壁梁视作为一系列由主要支撑构件和扶强材支撑的板格,推导了薄壁梁约束扭转极限承载能力上限的计算公式.应用非线性有限元方法验证了所提假设和计算公式的精度,将所提方法应用于箱型梁模型和半潜平台的约束扭转极限承载能力的计算分析,并与非线性有限元结果进行了比对,结果表明,本方法具有较高的精度,可用于海洋平台等薄壁梁的扭转极限承载力上限的估算.     

线弹性土壤中埋设悬跨管道的弯曲和振动特性

利用细长梁小挠度理论,研究给出了两端埋设在线弹性土壤中的悬跨段管道和埋设段管道在自重作用下的变形和内力公式。基于静挠度公式,用能量法给出了第一阶弯曲振动的固有频率公式。讨论了不同土壤刚度条件下悬跨段管道的变形和内力特征,以及第一阶弯曲振动固有频率,并和工程上推荐使用的简支梁和两端固支梁的静动态特性进行比较。研究表明在跨度大、土壤刚度大、管道弯曲刚度较小时无量纲土壤刚度系数较大,埋设段管道对悬跨段管道的刚度约束比较大,悬跨段管道可以近似按两端固支梁模型来模拟;反之,只有在土壤刚度系数较小的几个参数点上,悬跨管道的静动力特性等价于简支梁模型。     

斜坡堤波浪爬高和越浪数值模拟

基于FLUENT软件,采用k-ε湍流模型和VOF方法追踪自由表面,由连续性方程和动量方程推导出源函数,根据数值水槽各个区段的功能设置,借助其UDF二次开发功能,实现无反射的源造波,在验证水槽两端消波有效性的基础上,数值模拟规则波在不可渗透斜坡堤上的波浪爬高和越浪。通过与物模试验研究成果相对比,表明建立的数值水槽具有高效性和较高精度,可供实际工程参考应用。     

深基坑内支撑等效刚度数值计算影响因素分析

深基坑平面内支撑结构等效刚度的计算常采用有限元等数值计算方法,通过分析深基坑支护结构的4种典型平面内支撑结构型式,探讨了数值计算模型中内支撑结构的单元划分长度、约束弹簧刚度、约束弹簧间距、约束弹簧布置型式等因素对内支撑等效刚度计算结果的影响.经计算分析可知,在其他影响因素不变而只改变某个影响因素时,平面内支撑结构的等效刚度随腰梁单元长度的增加、约束弹簧刚度的增加呈增加的趋势,随约束弹簧间距的增加呈降低的趋势,但基本不受约束弹簧布置型式、除腰梁之外的其他内支撑构件单元长度的影响.在此基础上,得出了数值计算中上述各影响因素的建议取值范围和约束弹簧的布置型式.     

分数阶Oldroyd-B黏弹性Poiseuille流的Laplace数值反演分析

采用Laplace数值反演的Stehfest算法研究了分数阶Oldroyd-B粘弹性流体在两平板间非定常的Poiseuille流动问题.首先,通过数值解与近似解析解的比较验证了Stehfest算法的有效性.其次,运用Stehfest算法对平板Poiseuille流动进行了研究,揭示了分数阶黏弹性平板流的速度过冲和应力过冲现象,指出这些现象对分数导数的阶数存在明显的依赖性.同时,数值结果表明,整数阶本构方程仅仅是分数阶本构方程的特例,分数阶本构方程较整数阶本构方程具有更广泛的适用性.     

波浪问题中唯一可解的高阶边界元方法

本文就波浪与结构物相互作用问题，提出了一个适用于高阶边界元应用的新的积分方程，并利用修改积分区域的方法得了适用于本积分方程的不规则频率消除方法。最后，通过数值计算对附加区域的选择、单元的离散做了研究     

大尺度圆柱墩群周围的波流场的数值模拟

本文对波流共同作用下大尺度圆柱墩群周围的波流场进行了数值研究。利用波浪弥散关系的迭代计算求得波向与流向的夹角以及波浪的相对频率。流场通过求解浅水环流方程得到,波浪场通过求解含流的缓坡方程得到,通过二者的迭代计算得到大尺度圆柱墩群周围的波流场的耦合解。用有限元法建立了数值模型,并将本文的计算数据与试验数据以及其他学者计算数据进行了比较,结果较为合理。     

Dynamic Behavior of Beam–Pile Structure Under Vertical Transient Excitation

The dynamic response of beam–pile–soil system under vertical transient excitation is investigated. Both piles and beam are assumed to be one-dimensional rods and subjected to vertical exciting forces. The uniformly distributed Voigt models are introduced to simulate the pile tip resistances, and the dynamic interactions between piles and beam are simplified as a set of concentrated point loads. Then, the plane strain model, the theory of longitudinal vibration of one-dimensional rod, and the Timoshenko beam theory are used to establish the mathematical models for the motion of soil, piles, and beam, respectively. On this basis, the matrix equation for solving the governing equations is constructed in the Laplace domain and the time-domain response is then obtained by the discrete inverse Fourier transform. Comparisons with numerical simulations and model tests are conducted to evaluate the rationality of the present solution. The results show that the dynamic responses calculated by the proposed solution are generally consistent with simulated curves and experimental data.     

BBO晶体倍频中的温度场与光场耦合模拟

首先建立了无限大晶体截面近似下的时-空4维光场和温度场耦合的倍频模型. 并在瓦级功率激光抽运下,利用解析公式和迭代方法数值模拟了BBO晶体内的倍频过程.得到了基频光和倍频光的振幅和转换效率曲线以及温度场分布,展示了温度场及光场的时间演化过程. 其次分析了抽运功率和晶体长度对转换效率和温度场的影响. 结果给出,温度分布对转换效率和光束质量都有较大影响;对热效应引起的相位失配进行补偿能够很好地改善转换效率的下降,因此必须在实际应用中加以考虑.     

Vibration analysis of rectangular Mindlin plates on elastic foundations and vertically in contact with stationary fluid by the Ritz method

In this study Free vibration analysis of vertical rectangular Mindlin plates resting on Pasternak elastic foundation and fully or partially in contact with fluid on their one side is investigated for different combinations of boundary conditions. The plate is assumed to be one of vertical rectangular walls of a container in contact with fluid. In order to analyze the interaction of the Mindlin plate with the elastic foundation and fluid system, three displacement components of the plate are expressed in the Ritz method by adopting a set of static Timoshenko beam functions satisfying geometric boundary conditions in a Cartesian co-ordinate system. The method of separation of variables and the method of Fourier series expansion is used to model fluid and to obtain the exact expression of the motion of fluid in the form of integral equations. The fluid domain is finite in depth and width but infinite in the length direction. To demonstrate the accuracy of the present solution, convergence study is first carried out and then a few comparison studies are carried out with the available data in the literature. Finally, natural frequencies of rectangular plates are presented in tabular and graphical forms for different fluid levels, foundation parameters, aspect ratios, thickness to width ratios and boundary conditions.     

旋转地球上不可压缩流体惯性重力波的频率方程

用微扰动方法对旋转地球上不可压缩流体的控制方程组进行线性化,得到了扰动解和流体界面上惯性重力波的频率方程。表面惯性重力波和惯性重力内波的相速公式都是这个更普遍的频率方程的特殊情况。     

直立椭圆柱体重力场的谱分析及其应用

利用傅里叶积分变换法导出了埋藏的直立椭圆柱体的重力场在频率域中的解析公式，依此得了确定此直立椭圆柱体尺寸的公式，提出依据这些重力公式来计算侵入大洋地壳中的地幔柱的尺寸和洋壳厚度的方法。     

水下环肋圆柱壳弹性失稳临界载荷无损预报方法

基于振动的水下环肋圆柱壳临界载荷的预报具有结构无损的优势。以Flügge壳体理论和基于正交各向异性理论的环肋圆柱壳自由振动方程为基础,运用波传播法得出耦合系统的频率方程,并求出对应外压下的固有频率,通过最小二乘法线性拟合获得临界载荷、外压及固有频率的关系表达式。绘图得知任意边界的同一模态下,水下环肋圆柱壳的固有频率平方与静水压力成正比。结构失稳时,刚度丧失,固有频率降为零,据此求出水下环肋圆柱壳的最小弹性临界载荷。分析了不同边界条件对环肋圆柱壳临界载荷的影响,得知边界约束越强,环肋圆柱壳的临界载荷越大。结果对比表明了本方法的正确性,为水下环肋圆柱壳的固有频率及临界载荷的理论计算提供了一种新的方法。     

Modeling the generation and gravity-capillary waves using an underwater sound source

This is an experimental study of the acoustic method of surface-wave excitation using an underwater source of high-frequency (950 kHz) sound. The surface waves are excited at the sound-beam modulation frequency (3–55 Hz). For a normal fall onto the free surface, the modulated sound beam efficiently generates waves in the gravity-capillary range. This provides flexible electronic control of the main wave parameters (frequency and amplitude) in the packet and continuous modes. The amplitude-frequency characteristics of the process of surface-wave generation were obtained by numerical calculations (based on equations for the rate of acoustic flux and propagation of gravity-capillary surface waves) and by experiments (based on surface wave measurements by optical and contact methods). Both values are very consistent: on the background of a similar monotonic attenuation with frequency, they have a local dip near the minimum of the phase velocity and oscillation in the frequency range above 20 Hz. The experiments on the excitation of wave packets by single acoustic messages with varying lengths and powers, as well as by falling water drops, indicated that, in all cases, the phase characteristics are satisfactorily consistent with one another and the time needed for the signal to arrive at the measurement point is determined by the group velocity.     

Design of passive anti-roll tanks for roll stabilization in the nonlinear range

The best way of reducing roll motion is by increasing roll damping. Bilge keels are the most common devices for increasing roll damping. If more control is required, anti-roll tanks and fins are used. Tanks have the advantage of being able to function when the ship is not underway. Our objective is to develop design procedures for passive tanks for roll reduction in rough seas. This paper focuses on the design of passive U-tube tanks. The tank-liquid equation of motion is integrated simultaneously with the six-degree-of-freedom (6DOF) equations of the ship motion. The coupled set of equations is solved by using the Large Amplitude Motion Program ‘LAMP’, which is a three-dimensional time-domain simulation of the motion of ships in waves. The unstabilized and stabilized roll motions of a S60-70 ship with forward speed and beam waves have been analyzed. For high-amplitude waves, the unstabilized roll angle exhibits typical nonlinear phenomena: a shift in the resonance frequency, multi-valued responses, and jumps. The performance of a S60-70 ship with a passive tank is investigated in various sea states with different encounter wave directions. It is found that passive anti-roll tanks tuned in the linear or nonlinear ranges are very effective in reducing the roll motion in the nonlinear range. The effect of the tank damping, frequency, and mass on the tank performance is studied. Also, it is found that passive anti-roll tanks are very effective in reducing the roll motion for ships having a pitch frequency that is nearly twice the roll frequency in sea states 5 and 6.     

Natural frequency of offshore wind turbines on rigid and flexible monopiles in cohesionless soils with linear stiffness distribution

A simplified method is introduced to obtain the fundamental frequency of offshore wind turbines supported by monopile foundations. Soil-pile interaction is modeled based on Winkler approach and concept of beam on elastic foundation. The soil is considered to have linearly varying modulus of subgrade reaction along depth which is a typical assumption for cohesionless soils. Rayleigh method which is based on conservation of total energy of the system is utilized. Firstly the natural frequency of the system with rigid pile is derived and then an innovative procedure is introduced to take pile flexural stiffness into consideration. Comparison between results of the present method with those of a numerical FE model for a typical 2 MW wind turbine structure shows excellent agreement for rigid pile and flexible pile with small value of slenderness ratio. The agreement is also good for flexible pile with higher slenderness ratios. A parametric study is carried out to investigate the effect of important parameters of foundation including pile slenderness ratio, pile aspect ratio and pile mass on the system natural frequency.