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1.
本文利用Lagrange变分导出了惯性重力内波的波作用量方程,这种方程与用KWB方法所得到的惯性重力内波的波作用量方程在形式上有所不同,但所得到的结果却与观测事实是一致的。  相似文献   

2.
对受随从力作用的非保守弹性基础矩形薄板,针对由微分-积分方程构成的基本方程和边界条件,建立了以挠度和基础反力为两变量的拟固有频率的广义变分原理,从而为该类问题的近似求解提供了理论基础。  相似文献   

3.
本文提出了压缩存储约化法求解对称变带宽方程组的一种实用计算公式和程序编制,探讨了压缩存储约化法在水准网间接平差中的应用。利用法方程系数阵的变带宽稀疏对称性,可使元素存入量由原来的n×n减少到5n~10n,大大节省了存储量和计算时间。  相似文献   

4.
本文研究了纬向基本气流具有弱切变而不是缓变的情况下的正压非线性Rossby波包,在仅考虑纬向波数k是tx的缓变函数时,可以得到一个描述非线性Rossby波包的推广的非线性Schrodinger方程,并指出,(1)当纬向波数k是t,x的一次缓变(即Z,X的函数)时,非线性Rossby波的波作用密度和能量密度是守恒的。(2)而当纬向波数k是t,x的二次缓变(即Τ,ξ的函数)时,非线性Rossby波包的波作用密度和能量密度并不是守恒的,而且我们还指出在纬向波数k不变的情况下,其波包振幅就变为典型的非线性Schrodinger方程,其流场具有阻塞结构。  相似文献   

5.
本文对扰动量方程引进了相应的简单的非绝热作用,分析了二维界面流的稳定性。结果发现:非绝热加热作用是影响稳定性的重要因子,尤为下行波急流的左侧,加热作用与切变均能导致不稳定。  相似文献   

6.
本文利用位涡守恒方程,导出了斜压大气中非线性Rossby波满足KDV方程和MKDV方程,求得了斜压大气中非线性Rossby波足椭园余弦波和孤立波,并对它们的性质进行了讨论,着重用斜压Rossby立波的性质解释了大气中的一些重要天气现象如极涡、阻塞高压和切断低压。  相似文献   

7.
1895年,Korteweg和de Vries在研究洪水波演进(evolution)问题题中推导出了著名的半线性方程,即目前,一般所称作的KdV-方程。它是近代物理学中三个著名的半线性方程之一。此方程中含有非线性项及色散项,尤其是方程的解含有非线性波的孤立波或称孤立子(soliton)而受到广泛的重视。本文是针对小尺度运动略去Coriolis力,引入ρ=ρ_0(?)常数(均匀大气)的假定,将x(或)y方向的水平运动方程及垂直运动方程的未知函数视为解析幽数,故可在ζ=0附近怍Taylor级数展开,以迭套消元的方  相似文献   

8.
本文研究了SV波在自由面上全反射的一些特殊现象。首先,从波动方程出发讨论了散射P、SV波的相移和反射场中P波的质点运动;然后,应用功能原理,计算了自由面上非均匀P波的能流密度,得出非均匀P波平均能流为零的一般结论。本文所得到的结论,对于各种地震波、弹性波和电磁波在两种均匀介质界面上发生的全反射,均可适用。  相似文献   

9.
中尺度MM4模式及其伴随模式   总被引:2,自引:0,他引:2  
伴随方法是以数值天气预报的动力模作为约束条件的变分方法,相对传统的资料同化方法有很大的进步。介绍美国NCAR的中尺度MM4模式人它的伴随模式MAMSA1,它以一个有限区域的中尺度非线性预的模式模式为基础,采用伴随模式地其进行资料同化和预报。  相似文献   

10.
从正压涡度方程出发,在弱非线性和弱基流切变条件下,导得了描述非线性大气长波活动的推广的Kdv方程,并得到了方程的孤立波解及其色散关系。取近似于实际大气运动的物理参数作数值计算,得到了振荡型Rosby孤立波的水平结构和移动特征,其结果较之寻常的Kdv孤立波更接近于实际大气中的阻塞流型。  相似文献   

11.
通过设计合适的滤波器,对2001年9月18-20日华西暴雨过程中气象探测资料进行滤波处理,提取大、中尺度运动信息.在此基础上,通过对不同尺度运动信息的诊断分析,研究暴雨过程的不同阶段大、中尺度大气运动非平衡性质的演化及其对暴雨的影响,结果表明:在暴雨发生的不同阶段,大、中尺度运动的非平衡性质变化是不一样的,中尺度非平衡强迫对暴雨落区有重要影响.  相似文献   

12.
本文在考虑基本气流具有非线性切变情况下,导出了对称运动所满足的非线性常微分方程,并用非线性系统的稳定、分岔、突变理论,严格地讨论了非线性对称运动的稳定性、分岔和突变问题,获得了一个推广的对称不稳定判据,找到了突变产生的条件。  相似文献   

13.
An investigation on the dynamic response of a top tensioned riser (TTR) under combined excitation of internal solitary wave, surface wave and vessel motion is presented in this paper. The riser is idealized as a tensioned slender beam with dynamic boundary conditions. The KdV-mKdV equation is chosen to simulate the internal solitary wave, and the vessel motion is analysed by using the method proposed by Sexton. Using finite element method, the governing equation is solved in time domain with Newmark-β method. The computation programs for solving the differential equations in time domain are compiled and numerical results are obtained, including dimensionless displacement and stress. The action of internal solitary wave on the riser is like a slow powerful impact, and is much larger than those of surface wave and vessel motion. When the riser is under combined excitation, it vibrates at frequencies of both surface wave and vessel motion, and the vibration is dominated by internal solitary wave. As the internal solitary wave crest passes by the centre of the riser, the maximum displacement and stress along the riser occur. Compared to the lower part, the displacement and stress of the riser in the upper part are much larger.  相似文献   

14.
This paper presents a study on the motion response of a tension-leg platform (TLP) under first- and second-order wave forces, including the mean-drift force, difference and sum-frequency forces. The second-order wave force is calculated using the full-field quadratic transfer function (QTF). The coupled effect of the horizontal motions, such as surge, sway and yaw motions, and the set-down motion are taken into consideration by the nonlinear restoring matrix. The time-domain analysis with 50-yr random sea state is performed. A comparison of the results of different case studies is made to assess the influence of second-order wave force on the motions of the platform. The analysis shows that the second-order wave force has a major impact on motions of the TLP. The second-order difference-frequency wave force has an obvious influence on the low-frequency motions of surge and sway, and also will induce a large set-down motion which is an important part of heave motion. Besides, the second-order sum-frequency force will induce a set of high-frequency motions of roll and pitch. However, little influence of second-order wave force is found on the yaw motion.  相似文献   

15.
莫霍面的起伏波动可看成壳—幔分层介质中的内波现象。引入推动地壳底部物质迁移的驱动力,用有限元数值方法模拟了莫霍面内波的运动,并探究了内波运动的动力来源及潮汐在内波生长中的作用  相似文献   

16.
Acoustic-elastic coupled media is often encountered in most marine explorations, and accurate simulation of acoustic-elastic coupled media is of great significance. At present, the study of acoustic-elastic coupled media still assumes that the solid of the acoustic-elastic coupled media is isotropic, but this assumption is not in accordance with the actual situation. In this paper, we derive the solid media of acoustic-elastic coupled media from isotropic media to anisotropic media, and propose an acoustic-elastic coupled medium based ontransverse isotropic media with vertical symmetric axes(VTI) to improve the accuracy of forward modeling. Based on the relationship between the Thomsen parameter and the coefficient matrix of the anisotropic elastic wave equation, we transform the Thomson parameter into a velocity model with anisotropic properties. We use a staggered grid finite difference method to simulate the propagation of a wavefield in a three-dimensional acoustic-elastic coupled media. We obtain the snapshots of the wave field when the solid of the acoustic-elastic coupled media is an isotropic medium and a VTI media. When the solid of the acoustic-elastic coupled media is considered VTI media, we can observe the qP wave and qS wave that cannot be observed in the isotropic medium from the wave field snapshot. We can also find that the seismic records obtained by the method we use are more realistic. The algorithm proposed in this paper is of great significance for high-precision ocean numerical simulation.  相似文献   

17.
基于2013年芦山M7.0地震近场区域深反射剖面和P波、S波层析成像资料,使用接触单元模拟断层非线性破裂过程,利用二维有限元法模拟芦山地震强地面运动。在信度检验的基础上研究震源应力降和粘聚力参数对于水平向基岩地震动参数的影响。研究发现,芦山地震上盘场址处水平地震动峰值加速度明显大于下盘场址处结果,且衰减速度更慢,呈现上下盘效应特征;应力降和粘聚力对地表水平向基岩地震动均具较为明显的正向影响作用,其中应力降对0.05~1.00 s短周期成分作用明显,粘聚力则对1.00~6.00 s中长周期成分具有显著影响。  相似文献   

18.
Many studies have been done on the heave-pitch unstable coupling response for a spar platform by a 2-DOF model. In fact, in addition to the heave and pitch which are in one plane, the nonlinear unstable motion will also occur in roll. From the results of the experiments, the unstable roll motion plays a dominant role in the motion of a spar platform which is much stronger than that of pitch. The objective of this paper is to study 3-DOF coupling response performance of spar platform under wave and vortex-induced force. The nonlinear coupled equations in heave, roll and pitch are established by considering time-varying wet surface and coupling. The first order steady-state response is solved by multi-scales method when the incident wave frequency approaches the heave natural frequency. Numerical integration of the motion equations has been performed to verify the first-order perturbation solution. The results are confirmed by model test. There is a saturation phenomenon associated with heave mode in 3-DOF systems and all extra energy is transferred to roll and pitch. It is observed that sub-harmonic response occurs in roll and pitch when the wave force exceeds a certain value. The energy distribution in roll and pitch is determined by the initial value and damping characteristics of roll and pitch. The energy transfers from heave to pitch and then transfers from pitch to roll. Due to the influence of the low-frequency vortex-excited force, the response of roll is more complicated than that of pitch.  相似文献   

19.
Based on the principle of turned mass damper(TMD) systems,the conceptual design of semi-submersible platform with a moveable heave-plate(MHS) has been put forward.The heave motion response amplitude operator(RAO) and viscous damping of the MHS platform are calculated by iteration,and the coupling stiffness between the MHS hull and the heave-plate is optimized to decrease the maximum heave motion response of the MHS hull under 10-year survival conditions in the South China Sea.The nu-merical results indicate that the heave motion RAO of the MHS hull can be decreased in the range of predominant wave frequencies,which may provide some reference to the heave motion control of offshore platforms.  相似文献   

20.
Fluid resonance in a moonpool formed by two identical rectangular hulls during in-phase heaving motion is investigated by employing a two-dimensional numerical wave flume based on OpenFOAM package with Re-Normalization Group (RNG) turbulent model. The focus of the study is to examine the influence of heaving frequency and amplitude with various moonpool configurations on fluid resonant behavior. It is found that the resonant frequency of wave response in moonpool tends to decrease with the increase of moonpool breadth and hulls draft. The decrease of resonant amplitude can be observed for large moonpool breadth. The influence of hulls draft on resonant amplitude is not remarkable, especially for large heaving amplitude. The increase in heaving amplitude results in the decrease of relative resonant amplitude in an approximate power function, implying a complicated dependence of the resonant amplitude on heaving amplitude. Flow patterns in the vicinity of the moonpool are also analyzed, mainly regarding the dependence on the heaving frequency. The negligible influence of vortices on the wave response in moonpool is expected for low-frequency excitation because it is hard to observe the vortex structures. Intensive vortical flow and vortex structure can be identified under resonant condition, which gives rise to significant dissipation and accounts for the smaller relative resonant amplitude in moonpool. As for high-frequency excitation, the vortex motion is rather weak and dissipates rapidly, leading to insignificant effect on wave response amplitude.  相似文献   

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