共查询到18条相似文献,搜索用时 406 毫秒
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研究了一类新型非线性浅水波方程(Dullin-Gottwald-Holm方程,简称为DGH方程)的散射逼近问题,文章首先通过对与离散谱相对应的特征函数的归一化变形,给出了DGH方程的散射数据;其次利用DGH方程的Lax对和Liouville变换求出了初始位势函数,最终论证了DGH方程的可积性. 相似文献
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《江苏科技大学学报(社会科学版)》2010,(5)
研究了一类新的可积型浅水波方程即Dullin-Gottwald-Holm(DGH)方程的反散射逼近问题.通过一种逼近法为DGH方程的反散射问题提供了一种新的计算上更为简单的算法,即将初始位势的计算转化为求解一个线性积分方程和一个反函数;最后以具体例题演示了此算法,完善了DGH方程的反散射问题. 相似文献
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利用蒙特卡罗方法对气泡幕后向散射接收信号及其各次散射分量进行了系统仿真,并详细讨论了不同接收视场和气泡幕密度下的多次散射效应.结果表明:高次散射信号在气泡幕回波信号中占有重要的成分.不能以单散射来近似计算;随着接收视场和气泡幕密度的增加,高次散射分量在接收信号中的比重增加,有利于气泡幕后向散射信号的探测. 相似文献
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王平心 《江苏科技大学学报(社会科学版)》2006,20(6):37-39
利用矩阵的广义逆矩阵理论,通过把矩阵方程化为与其等价的方程组求解,给出方程有解的充要条件,并给出在有解条件下方程通解的表达式。 相似文献
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《船舶与海洋工程学报》2020,(1)
This study aims to investigate the nonlinear added mass moment of inertia and damping moment characteristics of largeamplitude ship roll motion based on transient motion data through the nonparametric system identification method. An inverse problem was formulated to solve the first-kind Volterra-type integral equation using sets of motion signal data. However, this numerical approach leads to solution instability due to noisy data. Regularization is a technique that can overcome the lack of stability; hence, Landweber's regularization method was employed in this study. The L-curve criterion was used to select regularization parameters(number of iterations) that correspond to the accuracy of the inverse solution. The solution of this method is a discrete moment, which is the summation of nonlinear restoring, nonlinear damping, and nonlinear mass moment of inertia. A zero-crossing detection technique is used in the nonparametric system identification method on a pair of measured data of the angular velocity and angular acceleration of a ship, and the detections are matched with the inverse solution at the same discrete times. The procedure was demonstrated through a numerical model of a full nonlinear free-roll motion system in still water to examine and prove its accuracy. Results show that the method effectively and efficiently identified the functional form of the nonlinear added moment of inertia and damping moment. 相似文献
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根据散射原理、雷达截面积的物理意义,推导出箔条偶极子雷达截面积的定义式,分析出在不同极化波入射条件下,偶极子的雷达截面积精确计算公式。利用散射矩阵,讨论了散射特性。推导出不同空间取向偶极子的平均雷达截面,并给出计算结果。 相似文献
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采用Sommerfeld-Watson变换(SWT)方法研究了内部充水弹性球壳的散射,应用绕数积分求根方法在频率域复平面和波数域复平面求解环绕波的频散方程。比较了弹性球壳在内部真空和内部充水两种情况下环绕波相速度曲线和衰减曲线,结果表明内部流体负载使得相对于内部真空情况有大量流体环绕波产生,相邻流体环绕波相速度曲线的"排斥"现象是明显的,流体波向周围媒质的再辐射作用在其相速度接近内部真空球壳弹性环绕波相速度的时候达到局部极值。用镜反射波和环绕波的叠加合成反向散射形态函数,与简正级数解符合良好。 相似文献
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The objective of this article is to give an overview about the stochastic inverse method and its application to an ill-posed inverse problem in marine hydrodynamics. In stochastic inversion, it is possible to take into account inherent measurement and system uncertainties in the solution of an inverse problem in a very simple manner. The stochastic inverse method transforms the original inverse problem into the problem of a probabilistic question. Thus, the solution to an inverse problem is described by a distribution of the unknown parameters. These are some main differences with the deterministic inverse method. Stochastic inversion also provides lots of advantages over deterministic inverse methods such as quantitative parameter estimates, determination of confidence intervals, treatments of arbitrary forward maps, error estimates, or parameter estimates given noisy measurement data. In this work, the robust solution procedure from the perspective of the stochastic inverse method is discussed with two different ill-posed inverse problems in marine hydrodynamics. 相似文献
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为提高船舶靠泊安全系数,减少大型船舶靠泊事故的发生,设计一种以两转动一平移3-RPU并联机构为主体结构的5自由度船舶靠泊装置。基于螺旋理论和修正G-K公式,计算出并联机构的自由度;利用齐次位姿变换建立各连杆矢量方程,推导出并联机构位置正反解数学表达式,基于位置反解表达式求出并联机构的雅克比矩阵,根据雅克比矩阵对3-RPU机构的三类运动学奇异性进行分析;建立机构驱动关节速度与动平台速度之间的关系,对正反解的研究结果进行数值验证,并运用MATLAB对位置和速度反解进行仿真;采用蒙特卡洛法求解并联机构的可达工作空间,并运用MATLAB编程绘制出工作空间三维图和截面图,验证了3-RPU并联机构的可行性,为3-RPU并联机构的应用提供理论依据。 相似文献