共查询到20条相似文献，搜索用时 31 毫秒
1.
A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results. 相似文献
2.
This paper presents a numerical model study of the propagation of water waves using the parabolic approximation of the mild-slope equation in the orthogonal coordinate system. Two types of coordinate systems are studied: (a) a general form of orthogonal coordinate system and (b) the conformal system, a special form of orthogonal coordinate system. Two typical examples, namely, expanded breakwaters and a circular channel, are studied to validate the model. First, the examples are studied by use of the general orthogonal coordinates. Then the same examples are computed by use of the confonnal system. The computational results show that the confonnal coordinate system generally gives better predictions than the general orthogonal system. A numerical technique for generating the conformal grid is combined with the numerical model to improve the practicability of the model. The comparison between the result from the numerical grid system and that from the analytical grid system shows that reliable computational results can be obtained by use of the numerical confonnal grid system. 相似文献
3.
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
4.
等量纬度展开式的新解法 总被引：1，自引：0，他引：1
对地图投影学中经常遇到的等量纬度正反解展开式进行了新的研究。借助M athem atica计算机代数系统强大的数学分析功能,给出了新的正解公式,发现并纠正了前人正解公式中的错误;并且以此为基础,导出了用第一偏心率幂级数形式表示的反解展开式和三种主要的参考椭球下的实用反解计算式。本文研究表明计算机代数系统的应用不但极大地提高了公式推演的效率和准确度,而且反解系数从此可以表示为更简单和更便于记忆的符号形式。 相似文献
5.
为了研究石家庄地区输电线路雷击事故发生的气象条件,利用该地区1990—2018年输电线路雷击事故发生的详细资料和地面、探空气象资料,分析了输电线路雷击事故的时空变化,确定了容易发生输电线路雷击事故的天气系统配置和探空物理量阈值;通过输电线路雷击事故发生的气象条件,检验了2019—2020年输电线路雷击事故预报的准确性。结果表明:石家庄输电线路雷击事故主要发生在夏季傍晚前到前半夜,夏季发生概率明显高于春、秋季;输电线路雷击事故发生日数自西向东逐渐减少,集中发生在西部山区的井陉,其次是市区,井陉发生概率远高于其他地区;对流天气影响系统主要为高空槽型和冷涡型,探空物理量同时满足首要条件和附加条件时,引发输电线路雷击事故概率较高;输电线路雷击事故发生的气象条件在2019—2020年得到较好的预测检验,对防范雷击事故有一定指导意义。 相似文献
6.
A detailed comparison is made of the common two-dimensional methods for the evaluation of the hydrodynamic coefficients. Special attention was given to the conformal transformation method and the parameters which influence the accuracy of this method are studied. The results were compared with the Frank close-fit method with respect to accuracy and time taken. Finally the correlation between the geometric and hydrodynamic errors is examined and some relations are proposed. 相似文献
7.
在多波束回声声纳系统中，高分辨处理算法例如MUSIC、ESPRIT，被广泛应用于海底地形的测绘。在应用高分辨算法时，一条均匀线阵是必要条件。然而，由于系统覆盖范围/分辨率的需求以及安装空间的限制，在多波束系统中经常会采用特殊形状的接收阵列，这使得高分辨算法无法直接应用。同时回波信号的短时平稳特性使得难以估计出协方差矩阵，这也增加了高分辨算法在多波束系统中的应用难度。本文首先介绍一种基于多角度子阵波束形成的ESPRIT算法，该算法能降低高分辨算法对信噪比、样本点数和计算能力的要求。仿真表明此算法能提供更好的分辨力。接着提出一种将基于多角度子阵波束形成的ESPRIT算法与虚拟阵列变换相结合的高分辨底检测算法，并针对高分辨底检测算法在U型阵上的应用进行了探讨。计算机仿真和试验数据处理结果验证了文章所提高分辨底检测算法的有效性。 相似文献
8.
The three-dimensional directional stabilization problem is addressed for a slender autonomous underwater vehicle with three inputs: thrust, pitch moment, and yaw moment. The control law reshapes potential energy through feedback. Conditions for asymptotic stability are derived by applying Lyapunov's direct method to a control Lyapunov function constructed from the control-modified energy and other conserved quantities. Analysis proves asymptotic stability and suggests almost global convergence. The dynamic model requires minimal assumptions concerning the viscous force and moment, resulting in a directional controller that is inherently robust to uncertainty in these effects. The directional control algorithm is then extended by incorporating a line-of-sight guidance rule to enable cross-track control, or line following, although the extension requires an additional control moment about the roll axis. Spectral stability analysis provides sufficient conditions for local exponential stability and numerical simulations suggest that stability is almost globally asymptotic. 相似文献
9.
A.N. Dubovik 《Journal of Oceanography》1999,55(1):31-41
The transformation and symmetry properties of surface derivatives and spectral moments under rotation of the coordinate axes are examined. It is shown that the moments as well as the derivatives are generally represented in terms of their rotational invariants. For a Gaussian surface, which is characterized by additional symmetry of correlation matrices, the even moments higher than the second order are degenerate; i.e., only three of them are independent, and only two invariants are nonzero. Specific properties of spectrum symmetry and the joint statistical distribution of the mean and differential curvatures are found in this case. As an application of these results to observation of the sea surface, a simple optical method is suggested for simultaneous remote-sensing measurement of the second- and fourth-order moments. This method is based on the count of reversely reflected light impulses, arising from sea-surface scanning by the continuous laser radiation. 相似文献
10.
《Oceanic Engineering, IEEE Journal of》2009,34(4):575-585
11.
坐标系统的统一是1个地区地理信息资源共享和标准统一的基础,目前,很多地区采用多个测量坐标系统,为实现测量坐标系统的统一,需要对不同坐标系的地理信息成果进行坐标转换。本文结合青岛市实际,对青岛市已有地理信息由原来采用的"青岛市城市坐标系"向国家统一的"1980西安坐标系"之间的转换精度和可靠性进行了探讨,通过具体数据的分析计算得出,2套坐标系之间转换切实可行,完全满足精度要求。 相似文献
12.
An exact two dimensional hydrodynamic analysis based on the linear potential theory is introduced to study the free liquid sloshing characteristics of transverse oscillation modes in a non-deformable horizontal circular cylindrical baffled container which is filled to an arbitrary depth with an inviscid incompressible liquid. Three common baffle configurations are considered: a pair of internal rigid horizontal side baffles of arbitrary extension installed at the free liquid surface, and a surface-piercing or a bottom-mounted vertical rigid baffle of arbitrary extension positioned along the tank vertical axis of symmetry. The problem solution is obtained by the method of successive conformal coordinate transformations, leading to standard truncated matrix eigenvalue problems on simple (rectangular) regions which are then solved numerically for the resonance eigen-frequencies. The effects of liquid fill level, baffle arrangement and length upon the three lowest antisymmetric and symmetric sloshing frequencies and the associated hydrodynamic pressure mode shapes are examined. Also, convergence of the adopted approach with respect to the fill condition, and baffle type/extension is discussed. Limiting cases are considered and the validity of results is established in comparison with the data in the existing literature. 相似文献
13.
The basic principles of spatial and of temporal correlation sonar for velocity measurement of both surface vessels and autonomous underwear vehicles are considered, showing the advantages of using a pulsed temporal correlation log. To achieve correlation, the conditions for waveform invariance must be met, and there is a velocity-depth limitation to be observed; these are described in detail. Practical design constraints such as the effects of different transducer sizes/geometry and carrier frequencies are also considered 相似文献
14.
In the present work, the improved version of the meshless singular boundary method(ISBM) is developed for analyzing the performance of bottom standing submerged permeable breakwaters in regular normally incident waves and in the proximity of a vertical wall. Both single and dual prismatic breakwaters of rectangular and trapezoidal forms are examined. The physical problem is cast in terms of the Laplace equation governing an irrotational flow and incompressible fluid motion with appropriate mixed type boundary conditions, and solved numerically using the ISBM. To model the permeability of the breakwaters fully absorbing boundary conditions are assumed. Numerical results are presented in terms of hydrodynamic quantities of the reflection coefficients. These are firstly validated against the results of a multi-domain boundary element method(BEM) developed independently for a previous study. The agreement between the results of the two methods is excellent. The coefficients of reflection are then computed and discussed for a variety of structural conditions including the breakwaters height, width, spacing, and absorbing permeability. Effects of the proximity of the vertical plane wall are also investigated. The breakwater's width is found to have only marginal effects compared with its height. Permeability tends to decrease the minimum reflections. These coefficients show periodic variations with the spacing relative to the wavelength. Trapezoidal breakwaters are found to be more cost-effective than the rectangular breakwaters. Dual breakwater systems are confirmed to perform much better than single structures. 相似文献
15.
João Mil-Homens Conceição J.E.M. Fortes António A. Pires-Silva 《Ocean Engineering》2010,37(2-3):236-251
The FUNWAVE model is used for simulating simulation of monochromatic and irregular wave propagation in a channel with a bar-trough profile. FUNWAVE is based upon the extended Boussinesq equations. The study aims to analyze the model's performance when simulating shoaling, wave breaking and nonlinear interactions that are present in nearshore wave propagation. For that, high-order time domain statistics (root mean-square wave height, skewness, asymmetry and the kurtosis) of the model simulations and of the observations were compared along the whole channel. Also, a frequency domain analysis including standard spectral analysis and the bispectrum was carried out in selected points of the flume. The evaluation included the role of the wave breaking internal model parameters. The main conclusion is that, in general, the one-dimensional version of FUNWAVE simulates quite well the nonlinear transformation of a wave over a bottom with a bar-tough profile, for both regular and irregular wave conditions. The model reproduces the transformation of the wave shape, specially the increasing sharper wave crests and flatter troughs and also the lack of vertical symmetry with crests pitching forward, as it propagates along the domain. However, some differences persist after wave breaking, mainly due to the nature of the wave-breaking module. In this module, the energy dissipation is induced by the increase of viscosity, a rather simple mechanism, without the modification of the wave shape. Also, the energy dissipation develops in a smooth way which is appropriated for spilling breaking waves, but not for plunging breaking waves where the dissipation starts more abruptly. 相似文献
16.
《Coastal Engineering》2005,52(6):513-533
Using the perturbation method, a time dependent parabolic equation is developed based on the elliptic mild slope equation with dissipation term. With the time dependent parabolic equation employed as the governing equation, a numerical model for wave propagation including dissipation term in water of slowly varying topography is presented in curvilinear coordinates. In the model, the self-adaptive grid generation method is employed to generate a boundary-fitted and varying spacing mesh. The numerical tests show that the effects of dissipation term should be taken into account if the distance of wave propagation is large, and that the outgoing boundary conditions can be treated more effectively by introduction of the dissipation term into the numerical model. The numerical model is able to give good results of simulating wave propagation for waters of complicatedly boundaries and effectively predict physical processes of wave propagation. Moreover, the errors of the analytical solution deduced by Kirby et al. (1994) [Kirby, J.T., Dalrymple, R.A., Kabu, H., 1994. Parabolic approximation for water waves in conformal coordinate systems. Coastal Engineering 23, 185–213.] from the small-angle parabolic approximation of the mild-slope equation for the case of waves between diverging breakwaters in a polar coordinate system are corrected. 相似文献
17.
稳恒水波的Fourier近似解研究 总被引：1，自引：0，他引：1
A computational method for steady water waves is presented on the basis of potential theory in the physical plane with spatial variables as independent quantities. The finite Fourier series are applied to approximating the free surface and potential function. A set of nonlinear algebraic equations for the Fourier coefficients are derived from the free surface kinetic and dynamic boundary conditions. These algebraic equations are numerically solved through Newton＇s iterative method, and the iterative stability is further improved by a relaxation technology. The integral properties of steady water waves are numerically analyzed, showing that （1） the set-up and the set-down are both non-monotonic quantities with the wave steepness, and （2） the Fourier spectrum of the free surface is broader than that of the potential function. The latter further leads us to explore a modification for the present method by approximating the free surface and potential function through different Fourier series, with the truncation of the former higher than that of the latter. Numerical tests show that this modification is effective, and can notably reduce the errors of the free surface boundary conditions. 相似文献
18.
研究带乘性噪声广义系统的观测噪声最优估计问题。在假设系统正则的情况下,针对乘性噪声为一般随机矩阵即各观测通道乘性噪声同时刻相关的情况,通过受限等价变换和状态扩维的方法,给出了线性最小方差意义下的观测噪声最优滤波算法和最优平滑估计算法。数字仿真结果表明了算法的有效性。 相似文献
19.
This paper examines an apparent ‘early stage’ governance transformation in the Tam Giang Lagoon, Vietnam. In this context, the role of key policy windows for innovative governance practice is assessed (e.g., changes to Land and Fisheries Laws). Also examined is the emergence of recent initiatives to catalyze a wider shift in governance practice in the region, including the formation of co-management institutional networks that contribute to trust building and learning, and the allocation of collective territorial use rights for fisheries. While these changes are consistent with experiences in other coastal marine contexts, the paper shows that place-based and longitudinal research is necessary to explain and predict the conditions and incentives that catalyze governance shifts. Differences between a governance change and more fundamental transformation are difficult to discern using point-in-time analysis. Moreover, the results show that current declines in ecological conditions in the lagoon may not be reversed by changes to access rights or the emergence of co-management. Rather, these governance changes may simply help to stabilize the situation and buy time until other livelihood opportunities arise. Assessments of governance transformation thus need to be linked to ecological outcomes (i.e., reversing degradation of coastal marine systems, avoiding biophysical tipping points) which may not be easily identified in the short-term. Despite uncertainty, the emergence of policy windows, evidence of institutional innovation, and small-scale rights allocation experiments, all suggest important shifts in the trajectory of governance are underway in the Tam Giang Lagoon. 相似文献
20.
沿海区域的测绘资料主要采用1954年北京坐标系、1980西安坐标系和2000国家坐标系(旧称WGS84坐标系),造成使用不便,需要构建这些系统之间的转换关系。不同方法和不同分区的大量试算表明,1980西安坐标系与WGS84坐标系可以采用7参数转换模型,3个分区和5个分区的精度都能达到0.5 m,其中5个分区的精度较好。由于1954年北京坐标系的特殊性,简单的7参数模型不能确保系统的转换精度,1954年北京坐标系与WGS84坐标系最好采用曲面拟合方法实现坐标转换,整个沿海区域采用6个分区,精度可以达到0.5 m以内的转换要求。 相似文献