共查询到20条相似文献，搜索用时 31 毫秒
1.
We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators for holonomic systems with quasi-coordinates are described in detail. The conformal factor in the determining equations of the Lie symmetry is found. The necessary and sufficient conditions of conformal invariance, which are simultaneously of Lie symmetry, are given. The conformal invariance may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Finally, an illustration example is introduced to demonstrate the application of the result. 相似文献
2.
This paper discusses the weak Noether symmetry for a nonholonomic controllable mechanical system of Chetaev type, and presents expressions of three kinds of conserved quantities obtained by using weak Noether symmetry. Finally, the application of these new results is illustrated by an example. 相似文献
3.
For consideration of both the eccentric rotatable rigid body and the translational rigid body, the dynamic model of the underwater glider is derived. Dynamical behaviors are also studied based on the model and can be used as the guidance to underwater gliders design. Gibbs function of the underwater glider system is derived first, and then the nonlinear dynamic model is obtained by use of Appell equations. The relationships between dynamic behaviors and design parameters are studied by solving the dynamic m... 相似文献
4.
通过比较常用地形σ坐标的流体静力中尺度大气控制方程的一般导出与利用张量分析法的导出,分析了前者只限用于很小地形坡度的原因。根据后者对前者作了修正,给出适用于较陡地形坡度的流体静力控制方程。并借助修正了的Ｐｉｅｌｋｅ数值模式模拟气流过山的流场特征,说明修正的作用与意义。 相似文献
5.
In this paper, equations calculating lift force of a rigid circular cylinder at lock-in in uniform flow are deduced in detail. Besides, equations calculating the lift force on a long flexible circular cylinder at lock-in are deduced based on mode analysis of a multi-degree freedom system. The simplified forms of these equations are also given. Furthemore, an approximate method to predict the forces and response of rigid circular cylinders and long flexible circular cylinders at lock-in is introduced in the case of low mass-damping ratio. A method to eliminate one deficiency of these equations is introduced. Comparison with experimental results shows the effectiveness of this approximate method. 相似文献
6.
Feng Lu Milios E. Stergiopoulos S. Dhanantwari A. 《Oceanic Engineering, IEEE Journal of》2003,28(3):552-563
In real-time towed-array systems, performance degradation of array gain occurs when a line array that is not straight is assumed straight in the beamforming process. In this paper, a new method is proposed for array shape estimation. The novelty of this method is that it accounts for the variations in the tow ship's speed, which are typical during course alterations. The procedure consists of two steps. First, we solve for the tow-point induced motion in the time domain based on the constraints from the tow-point compass-sensor readings and from a discretized Paidoussis equation. At each time instance, the shape estimate is solved from a linear system of equations. We also show that this solution is equivalent to a previous frequency-domain solution while the new approach is much simpler. In the second step, we use the tail compass-sensor data to adjust the overall array shape. By noting that variations in the ship speed lead to a distortion in the normalized time axis, we first register the predicted tail displacement with the tail sensor readings along the time axis. Then, distortions in the estimated array shape over its length can be compensated accordingly. We also model a slow-changing bias between sensor zeros and remove systematic sensor errors. The effectiveness of the new algorithm is demonstrated with simulations and real sea-trial data. 相似文献
7.
Kopp L. Cano D. Dubois E. Wang L. Smith B. Coates R.F.W. 《Oceanic Engineering, IEEE Journal of》2000,25(3):282-295
From a designer viewpoint, a parametric array should not appear different from any other type of acoustic transducer and should be described by a limited set of design equations together with their range of validity. In this paper, these design equations are stated and discussed. They are used to optimize the acoustic parameters of an underwater communication system using parametric transduction and to evaluate its performance in terms of signal-to-noise ratio and data-rate limits as a function of transmission range. It turns out that, for a maximum data transmission rate at a given range, there is a set of optimum design parameters which is a function of the array size only. This means that, once given an operational range, the primary frequency, the electrical power, the maximum acoustic source level, and the directionality of the transducer can be deduced directly from the array diameter 相似文献
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湍流,在海洋动力系统其他类运动的控制方程组中,主要以输运通量剩余项的形式出现,它是最重要的海洋混合运动主体。本文的主要研究目标是,在湍流最新研究成果及其子系统控制方程组基础上,提出高确定性的二阶矩闭合原理,导出闭合的二阶矩和基本特征量控制方程组,建立湍流输运通量的数学物理描述基础。现有的湍流基本特征量方程组,其右端项的闭合办法实际上是非独立的。因此要么在今后的研究中引入独立的闭合办法,要么回归到湍流的现场实验分析研究,给出独立的特征量实验关系,从而有可能得到湍流混合系数的解析估计。 相似文献
12.
Qi Feng 《Ocean Engineering》2009,36(9-10):681-690
We consider two ship-like bodies connected by six cables and excited by waves. The cables might be under tension, or they might be slack, thus forming a unilateral system generating possible impacts. The impact forces can reach 20,000 kN and are able to cause damage to a ship. In order to avoid such large impact forces, anti-shock buffers might be adopted but good buffer design requires knowledge of the impact forces. We have evaluated these using multi-body theory with unilateral contacts in combination with classical ship dynamics, which allows modeling of the contact dynamics of two floating bodies in an ocean. Based on an optimization algorithm a method using an artificial neural network (NNW) has been developed to determine the combination of possible constraints at each step. The results of a numerical example compare reasonably well with experiments. We have thus established a theoretical basis for further buffer design. 相似文献
13.
Geret F Manduzio H Company R Leboulenger F Bebianno MJ Danger JM 《Marine environmental research》2004,58(2-5):619-623
The potential of the first line of the active oxygen-scavenging system, partial cDNA encoding Cu/Zn superoxide dismutase (SOD) was isolated in three aquatic mollusc species: Ruditapes decussatus (marine clam), Dreissena polymorpha (continental water mussel) and Bathymodiolus azoricus (hydrothermal vent mussel). These SOD cDNA fragments were amplified by PCR with degenerate oligonucleotide primers derived from the amino acid sequence conserved in the Cu/Zn-SOD from several other organisms. A partial cDNA of CuZn-SOD was obtained for R. decussates (510 bp), D. polymorpha (510 bp) and B. azoricus (195 bp). The deduced amino acid sequence showed high similarity among the three mollusc species (57-63%) and among other species (50-65%). The residues involved in coordinating copper (His-47, 49, 64, 121) and zinc (His-64, 72, 81 and Asp-84) were well conserved among the three Cu/Zn-SOD sequences. 相似文献
14.
In this paper a new method for obtaining a quantitative estimate of an acoustic field consisting of a set of discrete sources and background noise is described. The method is based on theL 1 (least absolute values) norm solution to an underdetermined system of linear equations defining the Fourier transform of the signal series. Implementations of the method with either equality or inequality constraints are presented and discussed. The much faster and more compact equality constraint version with a provision for modeling the noise field is recommended in practice. Experience with real data has shown the necessity of correcting for an observed Gaussian decay on the covariances. A simple means of estimating this effect and taking it into account in the signal estimation procedure is discussed, and the implications of this effect in high-resolution beamforming are considered. The effectiveness and versatility of theL 1 method indicate that it has a useful role in high-resolution signal estimation. 相似文献
15.
流速逆变张量隐式求解方法及其在航道港池流场计算中的应用 总被引：6，自引：1，他引：5
运用高分辨率的边界适应网格进行流体动力学数值计算时,如何提高计算稳定性和减少计算量成为数值求解的关键性问题.在非正交的边界适应坐标系中,每个动量方程中同时出现了两个交叉方向的水位偏导数项,给隐式求解带来困难,而显式格式下的时间步长由于受与空间步长有关的Courant-Friedrichs-Lewy条件限制,计算量成倍增加.本文从广义曲线坐标系下浅海动力学方程组出发,导出了流速的逆变张量所满足的动量方程组,使方程中的水位偏导数项变成了沿某一协变基向量方向占优的形式,方便地采用了交替方向隐式差分格式,从而提高了计算稳定性并减小了计算量.本文通过对澳门海域航道和港池中流场的计算,证实了该模式是一种进行高分辩率数值计算的有效方法. 相似文献
16.
Hsien-KuoCHANG Jin-ChengLIOU 《中国海洋工程》2004,18(3):371-380
This investigation examines long wave reflection and transmission induced by a sloping step. Bellman and Kalaba‘s (1959) invariant imbeddlng is introduced to find wave reflection. An alternative method matching both the surface elevation and its surface slope of each region at the junction is applied to the determination of wave reflection and transmission.The proposed methods are compared with the accurate numerical results of Porter and Porter (2000) and those of Mei (1983) for a vertical step. The wave reflection obtained for a mildly sloping step differs significantly from the result of Mei. The wave reflection is found to fluctuate owing to wave trapping for the ntild sloping step. The height and the face slope of the step are important for determining wave reflection and transmission coefficients. 相似文献
17.
lNTRODUCTIONAsoneofthenumericalcalculationmethodsinvolvingfluiddynamicsinnearshoreareas,theboundaryfittedgridmethodhasmanyadvantagessuchasfittingboundaries,beingsuitableforengineeringconstructionswithsmallscalesandimprovingtheaccuracybydensifyinggridpointsintheinterestedareas'Incomparisonwiththefiniteelementmethodwithnon-uniformgrids,theboundary-fittedgridmodelismorewidelyusedbecauseofitssuperioritiesinusingthematurefi-nitedifferenceschemeandinoccupyingsma1lcomputermemory(Sheng,l986;Haase.… 相似文献
18.
Tine Missiaen 《Marine Geophysical Researches》2005,26(2-4):145-155
The design of very high resolution (VHR) 3D marine surveys not only depends on the theoretical considerations of seismic imaging,
but is also dictated by the field conditions and the available budget. The main geophysical controlling factors include the
depth and dip of the target, and horizontal and vertical resolution. Working in shallow water environments and at high frequencies
will imply constraints on sampling, array directivity and positioning accuracy. In this paper we describe the main requirements
and constraints involved in VHR 3D acquisition. The second part of the paper focuses on the flexible acquisition system “Opus3D”
recently developed for shallow water investigations. The system provides improvements in imaging resolution in a relatively
simple and cost-effective way. Acquisition and positioning constraints limit the system to nearshore studies. The experience
gained from various surveys with this new acquisition system allow us to formulate a number of practical specifications and
guidelines for 3D survey design in shallow water. 相似文献
19.
《Ocean Modelling》2007,16(1-2):47-60
The symmetry and stability properties of two unstructured C-grid discretisations of the shallow water equations are discussed. We establish that a scheme in which the circumcentres of the mesh triangles are used as the surface elevation points has advantageous symmetry properties and derive a Coriolis discretisation which preserves these properties. It is shown that the resulting scheme is conservative in a discretised energy norm. We then establish that schemes in which the water surface elevations are stored at the mesh triangle centroids do not share these advantageous symmetry properties. Finally we show examples which demonstrate that the centroid based scheme is subject to unstable growing modes, particularly in long timescale, Coriolis dominated problems; while the energy conservative circumcentre based scheme suffers from no such limitation. We conclude that unstructured C-grid methods using the triangle circumcentres and the conservative Coriolis scheme derived here therefore have advantages for this sort of problem over those schemes based on centroids. 相似文献
20.
The long baseline (LBL) system is widely used to locate and track autonomous underwater vehicles (AUV) through acoustic communication.Three important issues are presented here in LBL system application with AUV.Those issues which regard the normal acoustic communication between LBL system and AUV are the depth of towed array,the length of beacon cable,and the effective area of the AUV.The first issue is the key of the LBL system,which ensures the normal communication between towed array and beacons.The second issue which impacts the normal communication from the AUV to beacons in available range should be considered after the first one has been settled.Then the last issue determines the safe work area of the AUV.The ordinary differential equations (ODE) algorithm of ray is deduced from Snell′s law.The ODE algorithm is applied to obtain sound rays from sound source to receiver.These problems are solved by the judgment that whether rays pinging from a sound source arrives at a receiver.The sea trial shows that these methods have much validity and practicality. 相似文献