Gaussian beams in inhomogeneous media: A review     

Yu. A. Kravtsov  P. Berczynski 《Studia Geophysica et Geodaetica》2007,51(1):1-36

The paper outlines the most important results of the paraxial complex geometrical optics (CGO) in respect to Gaussian beams diffraction in the smooth inhomogeneous media and discusses interrelations between CGO and other asymptotic methods, which reduce the problem of Gaussian beam diffraction to the solution of ordinary differential equations, namely: (i) Babich’s method, which deals with the abridged parabolic equation and describes diffraction of the Gaussian beams; (ii) complex form of the dynamic ray tracing method, which generalizes paraxial ray approximation on Gaussian beams and (iii) paraxial WKB approximation by Pereverzev, which gives the results, quite close to those of Babich’s method. For Gaussian beams all the methods under consideration lead to the similar ordinary differential equations, which are complex-valued nonlinear Riccati equation and related system of complex-valued linear equations of paraxial ray approximation. It is pointed out that Babich’s method provides diffraction substantiation both for the paraxial CGO and for complex-valued dynamic ray tracing method. It is emphasized also that the latter two methods are conceptually equivalent to each other, operate with the equivalent equations and in fact are twins, though they differ by names. The paper illustrates abilities of the paraxial CGO method by two available analytical solutions: Gaussian beam diffraction in the homogeneous and in the lens-like media, and by the numerical example: Gaussian beam reflection from a plane-layered medium.  相似文献   

堆载地基与邻近桩基的相互作用分析   总被引：9，自引：0，他引：9  

杨敏  朱碧堂 《水文地质工程地质》2002,29(3):1-5,9

本文在分析堆载条件下邻近桩基与土体的相互作用时，提出了改进弹性地基梁模型，采和最小势能原理推导了改进弹性地基梁的有限杆系法平衡方程，并编制了相应的分析程序EFBMPP，对影响桩基变位和弯矩的影响因素进行了计算分析。  相似文献   

双向近场地震作用下HDR隔震梁桥地震响应研究     

李琛  徐文平  孟宪锋  赵国辉  李宇 《震灾防御技术》2020,15(1):67-76

以HDR隔震梁桥多自由度（MDOF）模型和等效双线性单自由度（SDOF）模型为研究对象，以典型近场地震动作为输入，研究HDR支座双向耦合效应对HDR隔震梁桥地震响应的影响。研究结果表明:不考虑双向耦合效应的HDR支座滞回曲线呈典型双线性；考虑双向耦合效应的HDR支座滞回曲线面积小于不考虑双向耦合效应的HDR支座滞回曲线面积。不考虑双向耦合效应的顺桥向HDR支座位移峰值d_b大于考虑双向耦合效应时，但横桥向的结果相反。近场地震作用下，对梁桥进行HDR支座隔震设计时，忽略双向耦合效应计算得到的墩底剪力峰值和弯矩峰值均偏于保守。可忽略HDR支座双向耦合效应对HDR隔震梁桥近场地震能量的影响。  相似文献   

工业CT技术在卫星产品检测中的应用   总被引：2，自引：0，他引：2  

倪培君  李旭东  梁晓明  王爱华  孙守黑 《CT理论与应用研究》2000,9(Z1):119-123

卫星产品许多都采用了焊接结构。为了保证其使用的安全可靠性,必须对焊缝进行l00％的无损检测。然而对于一些形状复杂的精密电子束焊件,由于产品尺寸小,加之焊缝周围结构的遮挡,使常规方法的应用受到了限制。工业CT技术具有不受试件材料种类、形状结构及表面状况限制的特点,能给出与试件材料密度及尺寸特性相对应的断层扫描图象,分辨率高,在检测复杂构件方面显示出了优势。本文介绍了卫星产品精密复杂焊接件对无损检测技术的具体要求,研究了卫星产品电子束焊缝的工业CT检测方法,包括设备、对比试样、检测工艺、评定方法等,并通过电磁阀、喷注器、自锁阀、减压器、加注/排放阀、单向阀、气滤、过滤器等具体产品检测实例,描述了工业CT技术在卫星产品检测中的应用。实际应用表明：工业CT是检测航天卫星产品精密复杂结构件焊缝缺陷的理想手段,其成象直观,缺陷的定位、定性和定量结果可靠,完全能满足产品的质量控制要求。目前,累计用工业CT检测卫星产品数批若干件,检测焊缝上千条。剔出有超标缺陷的产品40件,避免了隐患。经过工业CT检测的产品,己在"返回式卫星"、"风云二号"、"东方红三号"、"资源一号"、"中星-22号"等型号卫星中取得了成功应用。  相似文献   

摄动理论在腐蚀管线随机地震反应分析中的应用     

刘威  李杰 《地震工程与工程振动》2007,27(2):32-38

埋地管线的腐蚀情况十分复杂,具有随机性的特点,从而导致其在地震激励下的反应必然具有随机性。本文在管线腐蚀离散状态模型和弹性地基梁原理的基础上,利用随机摄动理论推导给出了腐蚀管线在地震激励下位移和应力的解析表达式,并进行了均值和标准差的计算。实例分析中将该方法计算结果与Monte Carlo模拟方法计算结果进行了对比。结果表明,利用随机摄动方法可以快速、精确地求得腐蚀管线的随机地震反应。  相似文献   

新一代天气雷达(CINRAD)体扫模式起始仰角探讨     

卢兴来  邵伟军 《成都信息工程学院学报》2007,22(5):633-636

CINRAD所采用的各种体扫模式(VCP)均以仰角0.5°为起始进行扫描,通过分析雷达发射波束宽度、地物杂波对产品影响、雷达测量低仰角回波的重要性等因素,提出了CINRAD在低仰角观测时选取低仰角的原则,以及低仰角观测时应注意的问题.  相似文献   

Effect of parallel electric field on electrostatic ion-cyclotron instability in anisotropic plasma in the presence of ion beam and general distribution function—Particle aspect analysis     

Ruchi Mishra 《Planetary and Space Science》2006,54(2):188-199

Dispersion relation, resonant energy transferred, growth rate and marginal instability criteria for the electrostatic ion-cyclotron wave with general loss-cone distribution in low-β anisotropic, homogeneous plasma in the auroral acceleration region are discussed by investigating the trajectories of the charged particles. Effects of the parallel electric field, ion beam velocity, steepness of the loss-cone distribution and temperature anisotropy on resonant energy transferred and growth rate of the instability are discussed. It is found that the effect of the parallel electric field is to stabilize the wave and enhance the transverse acceleration of ions whereas the effect of steepness of loss-cone, ion beam velocity and the temperature anisotropy is to enhance the growth rate and decrease the transverse acceleration of ions. The steepness of the loss-cone also introduces a peak in the growth rate which shifts towards the lower side of the perpendicular wave number with the increasing steepness of the loss-cone.  相似文献   

吕宋海峡内波吸引子的三维数值模拟   总被引：1，自引：0，他引：1  

王刚  郑全安  林敏  戴德君  乔方利 《海洋学报(英文版)》2015,34(11):14-21

Internal waves propagate along wave beams that are inclined with respect to the horizontal plane. It is conjectured that the internal waves generated in the Luzon Strait may be confined between the double ridges in the strait and concentrate to a closed trajectory, the so-called internal wave attractor, due to the reflection of wave beams from the lateral boundaries, sea surface and bottom. This work carried out two experiments using a three dimensional non-hydrostatic general circulation model, MITgcm, to investigate the possibility that the ridges in the Luzon Strait allows for internal wave attractors. Baroclinic current in both of the experiments demonstrate the forming of ring-like patterns in some section around 20° and 21°N, indicating that the development of the internal wave attractors are allowed in the Luzon Strait. The different resolutions and initial conditions in the two experiments also reveal that the internal-wave-attractor phenomenon is robust in this region.  相似文献   

Soil-Structure Interaction Analysis of Jack-up Platforms Subjected to Monochrome and Irregular Waves     

Maziar Gholami KORZANI  Ali Akbar AGHAKOUCHAK 《海洋工程》2015,29(1):65-80

As jack-up platforms have recently been used in deeper and harsher waters, there has been an increasing demand to understand their behaviour more accurately to develop more sophisticated analysis techniques. One of the areas of significant development has been the modelling of spudcan performance, where the load-displacement behaviour of the foundation is required to be included in any numerical model of the structure. In this study, beam on nonlinear winkler foundation (BNWF) modeling—which is based on using nonlinear springs and dampers instead of a continuum soil media—is employed for this purpose. A regular monochrome design wave and an irregular wave representing a design sea state are applied to the platform as lateral loading. By using the BNWF model and assuming a granular soil under spudcans, properties such as soil nonlinear behaviour near the structure, contact phenomena at the interface of soil and spudcan (such as uplifting and rocking), and geometrical nonlinear behaviour of the structure are studied. Results of this study show that inelastic behaviour of the soil causes an increase in the lateral displacement at the hull elevation and permanent unequal settlement in soil below the spudcans, which are increased by decreasing the friction angle of the sandy soil. In fact, spudcans and the underlying soil cause a relative fixity at the platform support, which changes the dynamic response of the structure compared with the case where the structure is assumed to have a fixed support or pinned support. For simulating this behaviour without explicit modelling of soil-structure interaction (SSI), moment-rotation curves at the end of platform legs, which are dependent on foundation dimensions and soil characteristics, are obtained. These curves can be used in a simplified model of the platform for considering the relative fixity at the soil-foundation interface.  相似文献   

基于半数值方法的限弯器剪弯刚度分析     

丁乐声  陈金龙  陈潇  郭豪  张聪 《海洋工程》2022,40(6):152-159

柔性管缆限弯器存在接触非线性导致剪弯刚度分析困难。为此先基于悬臂梁方程建立剪弯刚度理论模型;然后构建考虑接触边界的锁合结构数值模型,得到其扭转刚度曲线;最后结合理论分析和数值计算求得考虑接触非线性的限弯器剪弯刚度曲线,并同传统的整体数值方法相比较,验证该半数值分析方法的有效性。对比发现基于半数值方法的限弯器剪弯计算效率远高于传统数值方法,其结果误差也满足工程需求;并且限弯器锁合结构处受接触边界影响有明显的非线性;限弯器子梁这一短梁结构基于Timoshenko梁理论计算的结果精度更高也更保守。相较于传统数值方法,该半数值方法用方程直接表达部分参数与剪弯刚度关系,并可以高效地分析限弯器剪弯刚度,使设计工作更加高效。  相似文献