具有高阶奇点的2n+1次系统

研究1类具有2个零特征根和1个4n2 2n 1阶奇点的2n 1次系统,并给出了极限环存在与否的条件。     

带反射变量微分方程的极限周期解

本文利用给定的周期序列,定义了极限周期函数的一个子集,并讨论了该子集的一些性质。然后,借助Banach压缩映像原理证明了带反射变量的一阶微分方程■的极限周期解的存在性及唯一性,其中函数F关于t是一致极限周期的,且F关于后两个变量满足Lipschitz条件。     

一类相对转动时滞非线性动力系统的稳定性分析

建立了具有时变刚度、非线性阻尼和谐波激励的一类相对转动时滞非线性动力系统的动力学方程.采用多尺度法推导出时滞动力系统的分岔响应方程,运用奇异性理论研究系统结构稳定性,得到主共振稳态响应方程的转迁集以及不同参数下分岔曲线的拓扑结构.应用Hopf分岔理论讨论了时滞动力系统动态稳定性,给出了系统产生极限环的条件,最后用数值模拟的方法研究了时滞参数对系统极限环幅值的影响.     

初始几何缺陷对管道极限承载力影响研究

初始几何缺陷被认为是影响管道极限承载力和稳定性的重要因素,但是大部分的管道力学特性研究都没有考虑初始缺陷的影响。基于管道几何尺寸测量机,获得管道的壁厚和直径沿轴向以及环向的分布规律。据此建立了四个三维实体有限元模型,分别为完好管道模型、只考虑直径缺陷的管道模型、只考虑壁厚缺陷的管道模型以及考虑所有缺陷的管道模型。分析了初始缺陷对管道的极限内压承载力、极限轴力承载力和极限弯矩承载力的影响。结果表明,直径缺陷对管道的极限内压承载力影响较大;壁厚缺陷对管道在复杂荷载作用下的极限弯矩承载力影响较大。     

考虑椭圆化和材料各向异性的管道极限弯矩承载力解析解研究

已有的管道极限弯矩承载力解析方法忽略了截面的椭圆化变形,且假设管道截面达到全塑性抵抗力,这对于薄壁管道是不合理的。针对这些不足,在已有解析解的基础上,考虑管道截面塑性区的椭圆化变形以及管道轴向与环向材料的各向异性,推导了管道在内压、轴向力和弯矩联合荷载作用下的极限弯矩承载力解析解。并通过定义材料屈服后不同的广义模量,提出了管道极限弯矩承载力的上限解析解和下限解析解。在此基础上,研究了材料各向异性系数、径厚比以及初始荷载等参数对极限弯矩承载力上限和下限解析解的影响,并得到了一些有益的结论。     

海上风电嵌岩桩水平抗力影响因素研究

桩基础是我国海上风电工程中应用最为广泛的基础形式,其中嵌岩桩因其施工难度大,承载力高备受关注。与其他类型的桩基础不同,嵌岩桩的水平承载力不仅受到围岩强度的影响,更与其成桩质量与灌浆材料的强度相关。采用有限元方法分析了嵌岩深度、桩基直径与壁厚、桩身倾斜度等多种因素对嵌岩桩水平承载力的影响,提出了确定嵌岩桩水平极限抗力的标准。研究表明：桩与围岩间的灌浆环会先于桩身发生破坏,因此可将灌浆环受拉破坏作为判断嵌岩桩达到水平极限承载力的标准;桩身倾斜度对嵌岩桩的水平极限承载力影响较大,直径和壁厚的增加,均能提高桩基的水平承载力。     

Spar平台硬舱结构弯曲极限强度有限元分析

Spar是一种新型的深海油气资源开发平台,由于结构比较复杂,平台硬舱结构的弯曲极限强度很难用常规的理论方法进行计算。采用非线性有限元分析方法,分析结构构件、边界及载荷条件对硬舱结构弯曲极限承载能力的影响。结果表明:单舱段和两舱段的极限弯矩计算结果基本一致;当弯矩载荷方向平行中心井对角线方向时,结构的抗弯强度较弱;重力载荷对舱段的极限弯矩影响较小;结构内部的环向框架能显著提高舱段的抗弯强度。     

海水中多环芳烃的测定

已知多环芳烃(PAH)中有许多是属于强致癌性的物质。因此,多环芳烃的分布对整个环境的污染作用日盆受到了重视。 目前,各国对大气飘尘、地面水、饮用水及土壤中的多环芳烃的分析测定报道很多,而对海水中的多环芳烃的分析测定报道尚少。 我们对海水中的多环芳烃,用XAD-2树脂吸附和浓缩,用高效液相色谱仪-紫外检测器进行测定,并对XAD-2树脂的吸附回收率进行了探讨。该方法的最低检测极限为10mμg/l。优点是操作简单、方便、回收率高。     

中国沿岸海域深度基准框架点布设研究

根据已有深度基准面模型,研究了深度基准面在不同方向的非线性变化程度,并且从深度测量的极限误差出发,推算得到深度基准面内插的极限精度要求,二者结合确定深度基准面线性内插的有效范围。实验结果证实,潮波传播特征差异会导致深度基准面线性内插有效范围的差异。最后,结合深度基准面线性内插的有效范围,在渤海湾部分沿岸海域设计了框架点的布设方案。     

关于极限边值问题的注记

研究在一定条件下,两类不同极限边值问题的关系。证明了两类极限边值问题存在解的定理是等价的。进而证明了极限边值问题的解是连续依赖于边界值的。     

On the design of a longitudinal motion control system of a fully-submerged hydrofoil craft based on the optimal preview servo system

The current control system of a fully-submerged hydrofoil craft based on optimal feedback control has several problems: it has no good performance of contouring waves and it cannot reduce the effect of wave disturbance. In this paper, we apply the optimal preview servo system to the longitudinal control system of a fully-submerged hydrofoil craft in order to settle the problems of current control system. The control system based on optimal preview servo system is composed of feedback controller and feedforward controller. Also in order to design the control system, the necessary prediction range of future information, the weight function in performance index, the future reference input and wave disturbance are determined. Finally, the validity of the proposed control system in this paper is confirmed by simulation. The simulation results show that the control system has good performance of contouring waves in following seas and is effective to settle the problems of current control system of a fully-submerged hydrofoil craft.     

Error analysis of a satellite interferometer navigation system

An orthogonal system of interferometry baselines aboard a geostationary satellite is considered primarily as a global positioning and navigation system. The mathematical model based on the relationship between the measured phase differences, the known transmitter positions, and other systematic error model parameters is derived. A generalized Least‐Squares estimation procedure is used for the solution of the unknown transmitter positions. Study of the effects of the various system and error model parameters on the position accuracy reveals that this accuracy is critically dependent on the baseline length and the magnitude of the random component of the measuring errors. With a 50‐m baseline, the obtainable accuracy at a frequency of 1.5 GHz is comparable to that of the NAVSTAR/ GPS system. Considering the interest and needs of the potential users for a multicapability system, this interferometry system is considered a major improvement over existing and planned navigation systems.     

Wave prediction in a port using a fully nonlinear Boussinesq wave model

A wave forecasting system using FUNWAVE-TVD which is based on the fully nonlinear Boussinesq equations by Chen(2006) was developed to provide an accurate wave prediction in the Port of Busan, South Korea. This system is linked to the Korea Operational Oceanographic System(KOOS) developed by Park et al.(2015). The computational domain covers a region of 9.6 km×7.0 km with a grid size of 2 m in both directions, which is sufficient to resolve short waves and dominant sea states. The total number of grid points exceeds 16 millions,making the model computational expensive. To provide real-time forecasting, an interpolation method, which is based on pre-calculated results of FUNWAVE-TVD and SWAN forecasting results at the FUNWAVE-TVD offshore boundary, was used. A total of 45 cases were pre-calculated, which took 71 days on 924 computational cores of a Linux cluster system. Wind wave generation and propagation from the deep water were computed using the SWAN in KOOS. SWAN results provided a boundary condition for the FUNWAVE-TVD forecasting system. To verify the model, wave observations were conducted at three locations inside the port in a time period of more than 7 months. A model/model comparison between FUNWAVE-TVD and SWAN was also carried out. It is found that, FUNWAVE-TVD improves the forecasting results significantly compared to SWAN which underestimates wave heights in sheltered areas due to incorrect physical mechanism of wave diffraction, as well as large wave heights caused by wave reflections inside the port.     

A three-dimensional dynamic analysis of a towed system

The three-dimensional configuration of a towed cable-body system during prescribed towship maneuvers is determined. Bending resistance and inertia terms are not retained in the towing model; methods are described for ascertaining when these effects are negligible. A physical finite difference formulation is employed to develop the discretized equations of motion, and the system configuration is advanced in time using a Runge-Kutta recurrence algorithm. The response of a reference towed system to a typical maneuver is presented graphically.     

A hydrodynamic model of a two-part underwater towed system

A three-dimensional model of a two-part underwater towed system is studied. In the model, the governing equations of cables are established based on the Ablow and Schechter method. The boundary conditions for the two-part underwater towed system are derived. The six-degrees-of-freedom equations of motion for submarine simulations are adopted to predict the hydrodynamic performance of a towed vehicle. The established governing equations for the system are then solved using a central finite difference method. In this paper several algorithms are used to solve this special form of finite difference equations. The results in this paper indicate that the two-part underwater towed system improves the dynamic behavior of the towed vehicle and is an easy way to decouple the towing ship motion from the towed vehicle. Because the model uses an implicit time integration, it is stable for large time steps and is an effective algorithm for simulation of a large-scale underwater towed system.     

Numerical Modeling of a Single-Point Mooring Cage With a Frontal Rigid Frame

In recent years, the development of single-point mooring (SPM) cage systems has attracted much attention due to its eco-friendly features. A numerical model of this cage system is developed to estimate the maximum tension force of mooring system and net-volume deformation under a typical 50-year return period of local sea state. The results show that the cage system with a rigid frame can improve the net-volume deformation significantly in comparison to its counterpart without a frame, but its mooring line tension will slightly increase. The study also illustrates that the maximum tension will rise linearly as the number of cages increases, but the net-volume reduction coefficient remains almost the same.      

Study on a new mooring system integrating catenary with taut mooring

Analyzed are the merits and demerits of catenary mooring system and taut mooring system, which are commonly used nowadays. As falling somewhere between these two systems, a new mooring system integrating catenary with taut mooring is proposed. In order to expound and prove the advantages of this new system, the motion performance of a semi-submersible platform is simulated by employing full time domain coupled analysis method. A comparison of the result of new mooring system with that of taut mooring system shows that the movement of the platform using the new type mooring system is smaller than that using the taut mooring system, which ensures a better working condition. Furthermore, the new mooring system is also compatible with the characteristics of catenary mooring system, which eliminates the requirement of anti-uplift capacity of the anchors.     

Nonlinear response of a moored buoy

The nonlinear dynamic analysis of a multipoint slack moored buoy is performed under the action of first and second order wave forces. The nonlinearity of the system is caused by the geometric nonlinearity of the mooring lines. The resulting nonlinear equation of motion is solved by an incremental time marching scheme. The nonlinear responses of the system are analysed to investigate different kinds of dynamic instability phenomena that may arise due to the nonlinearity of the system. As an illustrative example, a hollow cylindrical buoy anchored to the sea bed by means of six slack mooring lines is considered. The responses of the system are obtained and analysed for three regular waves namely, 5 m/5 s, 12 m/10 s and 18 m/15 s. The results of the study show that different kinds of instability phenomena like nT subharmonic oscillations, symmetry breaking bifurcation and aperiodic responses may occur in slack mooring systems. Further, a second order wave force may considerably influence the dynamic stability of such systems.     

Process-based modeling of morphodynamics of a tidal inlet system

The morphodynamic evolution of an idealized inlet system is investigated using a 2-D depthaveraged process-based model,incorporating the hydrodynamic equations,Englund-Hansen’s sediment transport formula and the mass conservation equation.The model has a fixed geometry,impermeable boundaries and uniform sediment grain size,and driven by shore-parallel tidal elevations.The results show that the model reproduces major elements of the inlet system,i.e.,flood and ebb tidal deltas,inlet channel.Equilibrium is reached after several years when the residual transport gradually decreases and eventually diminishes.At equilibrium,the flow field characteristics and morphological patterns agree with the schematized models proposed by O’Brien (1969) and Hayes (1980).The modeled minimum cross-sectional entrance area of the tidal inlet system is comparable with that calculated with the statistical P-A relationship for tidal inlets along the East China Sea coast.The morphological evolution of the inlet system is controlled by a negative feedback between hydrodynamics,sediment transport and bathymetric changes.The evolution rates decrease exponentially with time,i.e.,the system develops rapidly at an early stage while it slows down at later stages.Temporal changes in hydrodynamics occur in the system;for example,the flood velocity decreases while its duration increases,which weakens the flood domination patterns.The formation of the multi-channel system in the tidal basin can be divided into two stages;at the first stage the flood delta is formed and the water depth is reduced,and at the second stage the flood is dissected by a number of tidal channels in which the water depth increases in response to tidal scour.