Forced secondary resonances at the 3 : 1 commensurability     

Yi-Sui Sun  Ji-Lin Zhou  Tian-Ling Zhang  Chong-Qing Cheng 《Celestial Mechanics and Dynamical Astronomy》1994,59(4):313-325

For the 3 : 1 Jovian resonance problem, the time scales of the two degrees of freedom of the resonant Hamiltonian are well-separated [5]. With the adiabatic approximation, the solution for the fast oscillations can be found in terms of the slowly varying variables. Thus the rapidly oscillating terms in the slow oscillation equations can be treated as forced terms. We refer to the resonance between the forcing and intrinsic frequencies as a forced secondary one in this paper. We discuss the forced secondary resonances in asteroidal motion at the 3 : 1 commensurability by using Wisdom's method. The results show that the orbits situated originally near the resonance will leave the neighbourhood of resonance and tend to the separatrices and critical points for different energies, respectively. We have not found any stochastic web as expected in this case. Moreover, we study the problem of validity on the approximation of a system.The Project Supported by the National Natural Science Foundation of China.  相似文献   

凸度量空间中渐近拟非扩张映象新的带误差的Ishikawa迭代逼近     

曾永琴  彭勇 《成都信息工程学院学报》2006,21(5):739-741

在凸度量空间中，利用新的解析法，征明了由集合序列{On}产生的在多值渐近拟非扩张映象下的新的带误差的lshikawa迭代序列的收敛性。  相似文献   

球近似艾黎-海斯卡宁均衡模型分析     

荣敏  周巍 《测绘科学》2015,(8)

针对传统的均衡重力异常方式基于平面近似,积分范围较小、计算公式的适用性受限、表征的信息量有限的问题,该文在球坐标下分析艾黎-海斯卡宁(Airy-Hesikanen)均衡模型。以计算点向径为半径,将地形分为布格球壳和粗糙地形两部分,计算其地形影响和均衡改正。在实验区,选用补偿深度21km、密度差0.678g/cm3的模型参数,采用该文公式和传统公式计算均衡重力异常,并比较分析其计算值。结果表明,以球近似Airy-Hesikanen均衡模型计算均衡重力异常值,在小积分范围以及平坦地区,与传统公式计算值的精度相当;但随着积分半径增加,球近似Airy-Hesikanen均衡模型计算值精度不断提高、变化更平缓,说明球近似AiryHesikanen均衡模型代替平面近似Airy-Hesikanen均衡模型应用于重力问题研究更为符合地球实际情况。  相似文献   

Dynamics of warm inflation with gauge fields in Bianchi type I universe model     

《Astroparticle Physics》2015

In this paper, we study the dynamics of warm inflation in which slow-roll inflation is driven by non-Abelian gauge fields. To this end, we use the geometry of locally rotationally symmetric Bianchi type I universe model. We construct dynamical equations, i.e., first model field equation, energy conservation equations and equation of motion under slow-roll approximation. In order to discuss inflationary perturbations, we evaluate parameters like scalar and tensor power spectra as well as scalar and tensor spectral indices. We also evaluate inflaton, directional Hubble parameter, slow-roll and perturbation parameters as well as tensor-scalar ratio as a function of inflaton during intermediate and logamediate inflationary eras. It is concluded that anisotropic inflationary universe model with non-Abelian gauge fields remains compatible with WMAP7.  相似文献   

Analytical derivation of the probability for the escape of stars from colliding galaxies     

Pablo M. Cincotta  Juan C. Muzzio  Josué A. Núñez 《Celestial Mechanics and Dynamical Astronomy》1991,52(3):263-275

We use the impulse approximation to derive analytical formulae for the escape probability from a simple binary system that interacts with a third body. The binary system is made up of a mass-less body in circular orbit around a massive object, and we assume that the two massive bodies follow a Schuster (or Plummer) distribution. Within the ranges imposed by the impulsive approximation to the parameters of the encounter, we find good agreement between our results and those obtained from numerical experiments.  相似文献   

An approximated method for the solution of elliptic problems in thin domains: Application to nonlinear internal waves     

A. Scotti  S. Mitran   《Ocean Modelling》2008,25(3-4):144-153

Realistic numerical simulations of nonlinear internal waves (NLIWs) have been hampered by the need to use computationally expensive nonhydrostatic models. In this paper, we show that the solution to the elliptic problem arising from the incompressibility condition can be successfully approximated by a few terms (three at most) of an expansion in powers of the ratio (horizontal grid spacing)/(total depth). For an n dimensional problem, each term in the expansion is the sum of a function that satisfies a one-dimensional second-order ODE in the vertical direction plus, depending on the surface boundary condition, the solution to an n-1 dimension elliptic problem, an evident saving over having to solve the original n-dimensional elliptic problem. This approximation provides the physically correct amount of dispersion necessary to counteract the nonlinear steepening tendency of NLIWs. Experiments with different types of NLIWs validate the approach. Unlike other methods, no ad hoc artificial dispersion needs to be introduced.  相似文献   

Generalized Born inversion of seismic reflection data     

Douglas J. Foster  Philip M. Carrion 《Geophysical Journal International》1986,85(2):329-347

Summary . Born inverse methods give accurate and stable results when the source wavelet is impulsive. However, in many practical applications (reflection seismology) an impulsive source cannot be realized and the inversion needs to be generalized to include an arbitrary source function. In this paper, we present a Born solution to the seismic inverse problem which can accommodate an arbitrary source function and give accurate and stable results. It is shown that the form of the generalized inversion algorithm reduces to a Wiener shaping ***filter, which is solved efficiently using a Levinson recursion algorithm. Numerical examples of synthetic and real field data illustrate the validity of our method.  相似文献   

水深对软刚臂单点系泊FPSO动力响应的影响   总被引：1，自引：0，他引：1  

刘成义  唐友刚  李焱 《海洋工程》2016,34(1):25-32

系泊系统的定位能力是浅水油田作业的软刚臂式单点系泊FPSO安全作业的重要保障,为研究不同水深/吃水比下单点系泊系统的受力性能,针对一艘16万吨级软刚臂单点系泊FPSO,在线性三维势流理论的基础上,基于多体动力学方法,建立FPSO-系泊腿-软刚臂的耦合模型,采用Newman近似法和Pinkster近似法分析了FPSO所受二阶波浪力,在时域内计算了不同水深/吃水比对系泊系统动力响应性能的影响。结果表明,随着水深/吃水比的增加,Newman近似法计算得到二阶波浪力先增大后减小,引起单点系泊系统载荷先增大后减小;而Pinkster近似法计算得到的二阶波浪力逐渐减下,引起单点载荷逐渐减下。在浅水条件下,Pinkster近似法具有较好的适用性,Newman近似法严重低估了FPSO所受的二阶波浪力;在深水条件下,Newman近似法能满足工程计算的要求;适用两种方法的临界水深/吃水比为1.64。  相似文献   

基于分区间泛化Kriging近似模型的船舶局部结构形状优化     

张干锋  王德禹 《海洋工程》2018,36(6):46-57

为提高Kriging近似模型在船舶结构性能多维度响应预测方面的适用性,对常规Kriging近似模型进行分区间泛化改进:一是对设计样本点的各个维度(分量)进行划区,并在每一个分区间内采用最优拉丁超立方(OLhd)取样;二是引入比例系数w1组合高斯与指数型相关函数提高模型对数据的泛化能力,从而在每个划分的区间内建立泛化的Kriging近似模型。通过SCH测试函数,验证了构造的分区间泛化Kriging模型有效性。结合参数化建模和改进Kriging近似模型对某过渡肘板和舱口角隅边界进行形状优化,优化第一阶段由改进的近似模型通过多岛遗传算法得到全局初步的最优解,第二阶段在初步解的基础上缩小优化变量范围,由少量的FEM计算即可在小范围内搜寻到精确的最优设计变量。结果表明:分区间泛化Kriging近似模型在预测多维度响应时较常规Kriging模型预测精度更高;分阶段的形状优化流程在保证极小误差和缩小计算成本的情况下能够得到理想的应力分布和重量优化结果,有助于船舶结构的轻量化研究。  相似文献   

Bragg reflection of water waves by multiple floating horizontal flexible membranes with submerged rectangular bars on the seabed     

《Applied Ocean Research》2019

Bragg reflection of water waves by multiple floating horizontal flexible membranes is investigated based on the linear wave theory and the assumption of small membrane response. Under the floating horizontal membranes, periodical submerged rectangular bars are arranged on the flat seabed. The total reflection and transmission coefficients are obtained by using the eigenfunction expansion method and the wide spacing approximation. The calculated coefficients are validated with the results available in the literature, which shows that the present method is applicable. The characteristics of Bragg reflection are systematically investigated by changing various parameters including the height of the rectangular bars, the number, the tension, the spacing, and the length of the flexible membranes. The results can help designing multiple floating horizontal flexible membranes as effective floating breakwaters by taking advantage of Bragg reflection.  相似文献