Rational and Periodic Wave Solutions of Two-Dimensional Boussinesq Equation

Two new exact, rational and periodic wave solutions are derived for the two-dimensional Boussinesq equation. For the first solution it is obtained by performing an appropriate limiting procedure on the soliton solutions obtained by Hirota bilinear method. The second one in terms of Riemann theta function is explicitly presented by virtue of Hirota bilinear method and its asymptotic property is also analyzed in detail. Moreover, it is of interest to note that classical soliton solutions can be reduced from the periodic wave solutions.

A Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows

The present paper proposes a Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows based on the principle of weighted averaging zero skin-friction given by Haller （HALLER, G. Exact theory of unsteady separation for two-dimensional flows. Journal of Fluid Mechanics, 512, 257-311 （2004））. By analyzing the distribution of the finite-time Lyapunov exponent （FTLE） along the no-slip wall, it can be found that the periodic separation takes place at the point of the zero FTLE. This new criterion is verified with an analytical solution of the separation bubble and a numerical simulation of lid-driven cavity flows.

Photonic Band Modulation in a Two-Dimensional Photonic Crystal with a One-Dimensional Periodic Dielectric Background

A two-dimensional photonic crystal with a one-dimensional periodic dielectric background is proposed. The photonic band modulation effects due to the periodic background are investigated based on the plane wave expansion method. We find that periodic modulation of the dielectric background greatly alters photonic band structures, especially for the E-polarization modes. The number, width and position of the photonic band gaps （PBGs） sensitively depend on the structure parameters （the layer thicknesses and dielectric constants） of the one-dimensional periodic background,

Periodic Solutions of Porous Medium Equations with Weakly Nonlinear Sources

In this paper, we show the existence of the time periodic solutions to the porous medium equations of the formut= Δ (|u| m-1 u)+B(x,t,u)+f(x,t) in Ω×Rwith the Dirichlet boundary value condition, where m>1, Ω is a bounded domain in R N with smooth boundary Ω , the continuous function f and the Hlder continuous function B(x,t,u) are periodic in t with period ω and the nonlinear sources are assumed to be weaker, i.e., B(x,t,u) u≤b 0|u| α+1 with constants b 0≥0 and 0≤α<m.

Fluidization stability and periodic fluctuations in gas–solid separation fluidized bed using Geldart A dense medium

Gas–solid separation fluidized bed is a typical method for coal separation without water utilization.Geldart A particles is also considered as the ideal dense medium to strengthen separation efficiency.Fluidization stability reflects the bed pressure fluctuations and the distribution of bubble and emulsion phases,affecting the separation performance.And the main frequency of pressure fluctuations can directly reflect the degree of pressure fluctuations.Therefore,the detailed fluidization stability is analyzed combined the method of standard deviation of pressure fluctuations,power spectral density,etc.,for Geldart A particles.The results showed that maintaining an appropriate gas velocity resulted in an average bed pressure of around 2000 Pa.The main frequency is mainly concentrated around 1–1.5 Hz.Finally,a prediction model of the main frequency of pressure fluctuations is established,and the error can be controlled within±0.15.The investigation further proved the stable fluidization of Geldart A particles and provides a method for predicting the main frequency of pressure fluctuations in the gas–solid separation fluidized bed.

Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

A mathematical model for nonlocal vibration and buckling of embedded two-dimensional(2 D) decagonal quasicrystal(QC) layered nanoplates is proposed. The Pasternak-type foundation is used to simulate the interaction between the nanoplates and the elastic medium. The exact solutions of the nonlocal vibration frequency and buckling critical load of the 2 D decagonal QC layered nanoplates are obtained by solving the eigensystem and using the propagator matrix method. The present three-dimensional(3 D) exact solution can predict correctly the nature frequencies and critical loads of the nanoplates as compared with previous thin-plate and medium-thick-plate theories.Numerical examples are provided to display the effects of the quasiperiodic direction,length-to-width ratio, thickness of the nanoplates, nonlocal parameter, stacking sequence,and medium elasticity on the vibration frequency and critical buckling load of the 2 D decagonal QC nanoplates. The results show that the effects of the quasiperiodic direction on the vibration frequency and critical buckling load depend on the length-to-width ratio of the nanoplates. The thickness of the nanoplate and the elasticity of the surrounding medium can be adjusted for optimal frequency and critical buckling load of the nanoplate.This feature is useful since the frequency and critical buckling load of the 2 D decagonal QCs as coating materials of plate structures can now be tuned as one desire.

GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

The Green function on two-phase saturated medium by concentrated force has a broad and important use In seismology, seismic engineering, soil mechanics, geophysics, dynamic foundation theory and so on. According to the Green function on two-phase saturated medium by concentrated force in three-dimentional displacement field obtained by Ding Bo-yang et al., it gives out the Green function in two-dimensional displacement field by infinite integral method along x(3)-direction derived by De Hoop and Manolis. The method adopted in the thesis is simpler. The result will be simplified to the boundary element method of dynamic problem.

The determination of the relative permittivity of periodic stratified media based on the iterative time-reversal method

In this paper, we present a new method to determine the relative permittivity of periodic stratified media using the iterative time-reversal method. Based on transmission line theory, the focal peak value of iterative time-reversal electro- magnetic waves, which contain information about the periodic stratified medium, is computed in pulse-echo mode. Using the relationship between the focal peak value and the relative permittivity of the periodic stratified medium, the relative permittivity can be obtained by measuring the focal peak value. Numerical simulations are conducted, and the results demonstrate the feasibility of the proposed approach to the measurement of the relative permittivity of a periodic stratified medium.

SOLVING THE PROPAGATION OF ELECTROMAGNETIC WAVE IN A SIMPLE TWO-DIMENSIONALINHOMOGENEOUS MEDIUM BASED ON SYMPLECTIC GEOMETRICAL THEORY

A new symplectic geometrical high-frequency approximation method for solving the propagation of electromagnetic wave in the two-dimensional inhomogeneous medium is used in this paper. The propagating caustic problem of electromagnetic wave is translated into non-caustic problem by the coordinate transform on the symplectic space. The high-frequency approximation solution that includes the caustic region is obtained with the method combining with the geometrical optics. The drawback that the solution in the caustic region can not be obtained with geometrical optics is overcome by this method. The results coincide well with that of finite element method.

柴北缘中酸性侵入岩成因及其构造意义

研究区位于柴北缘缝合带与磨拉石前陆盆地的结合部,区内构造经历了多期演化,岩浆岩广泛发育。岩体侵入于下元古界金水口岩群和寒武—奥陶纪滩间山群中,岩性为闪长岩、石英闪长岩、花岗闪长岩,属次铝质钙碱性岩系。岩石地球化学特征表明,该岩体具有火山弧花岗岩的特征,物源具有地壳和地幔的成分,并具同源岩浆演化特征。研究区主体属加里东期构造岩浆岩带,形成于板块碰撞前的构造环境,花岗岩结晶温压条件为640~720℃、0.1~0.3 GPa。

基于STE-TCN的中短期电力负荷预测

目的 针对传统电力负荷预测模型对长序列预测精度低的问题,提出一种结合跳级卷积连接与时间编码网络的新型时序卷积神经网络(TCN)模型——STE-TCN模型。方法 首先对TCN模型加入跨周期的膨胀卷积通道(Skip-convolution)提取电力数据周期信息;再进行特征融合得到Skip-TCN网络,使网络抓取周期规律,增加信息利用长度;最后设计日期编码网络(Time encoding network)捕捉生活周期和季节性特征,与Skip-TCN进行特征融合得到STE-TCN模型,实现对电力负荷数据长序列预测。结果 实验表明:在与TCN模型和传统时序网络的对比下,Skip-TCN的预测精度均有提升,在预测长度更长的测试上提升尤为明显。结论 实验结果验证了通过对更长跨度时序关系的捕捉,STE-TCN网络改进方法有效提升了对长序列电力负荷的预测精度。

黄河内蒙段开河期细菌群落结构特征研究

为探索黄河内蒙段开河初期水-土介质中细菌群落组成情况及生态网络结构,于2021年4月中旬进行取样,共获得黄河水样6个和土样4个.利用16S rRNA基因高通量测序方法对水、土样品进行测定,并从菌门及菌属水平对二者的细菌群落组成进行了分析.结果显示:河漫滩土样细菌群落结构的分布较水样更为分散,且土样中细菌群落丰富度、均匀度及多样性均高于水体,二者多样性存在显著的组间差异;在菌门水平上,变形菌门、放线菌门和酸杆菌门等是构成水-土样品的优势细菌门类,其中变形菌门在河水中相对丰度均值约为36.57%,在土样中则下降到25.39%,而酸杆菌门主要存在土样中,相对丰度约为14.17%;在菌属水平上, hgcI_clade(6.19%~12.75%)、CL500-29_marine_group(2.97%~5.05%)和Acinetobacter(0.74%~12.24%)是水体中的优势菌属,而norank_f__norank_o__norank_c__KD4-96(1.95%~4.91%)、 norank_f__norank_o__Vicinamibacterales(2.35%~4.67%)和norank_f__Gemmatimonadaceae (2.20%~4.73%)是土样中的优势菌属;不同菌属对水-土细菌群落结构的响应并不一致,其中分别归属于酸杆菌门和芽单胞菌门的norank_f__norank_o__Vicinamibacterales及norank_f__Gemmatimonadaceae等是联系水-土细菌群落的主要菌属,而归属于放线菌门的hgcI_clade和CL500-29_marine_group等是造成水、土优势菌门存在差异的主要菌属;虽然土样较水样拥有更大的生态网络结构,且Delftia、Candidatus_Methylopumilus、Arthrobacter和Rb41等是维持黄河内蒙段水、土介质生态网络结构的关键菌属,但相较于土样网络结构,水体网络结构中不同模块关键菌门及菌属间的生态功能较为一致.

基于全耦合模型的海上吊装作业动力响应特征研究

针对现有海上吊装模拟方法不能有效考虑浮吊船舶—系泊系统—吊物系统之间的动态耦合,难以实现基座回转、吊臂变幅连续模拟问题,基于Matlab/Simulink、ADAMS联合仿真平台建立了海上吊装作业全耦合动力分析模型,探究了中长周期波作用下波浪周期、吊缆收放、基座回转、吊臂变幅等参数变化对吊装作业系统动力响应的影响规律。结果表明,波浪周期接近吊物系统固有周期时会引发共振,导致吊物摇摆幅值显著增加。基座回转、吊臂变幅等因改变了吊物的空间位置从而引发了浮吊船舶倾覆力矩的变化,进而对浮吊船舶运动响应产生显著影响。当基座回转90°后,浮吊船舶的横倾角增加约2.74°。

中长周期波浪对斜坡堤扭王字块稳定性影响试验研究

本文针对中长周期波浪对斜坡堤扭王字块在位稳定性的影响开展了物理模拟试验,将高精度惯性姿态传感器与扭王字块固定,通过姿态传感器采集得到波浪作用下扭王字块的角速度时程,定量地分析波浪作用下斜坡堤扭王字块体的在位稳定性,探究了波浪周期和波高对于斜坡堤上扭王字块在位稳定性的影响。研究发现:波浪周期对扭王字块在位稳定性的影响呈非线性关系。随着波浪周期的增大,扭王字块的角速度幅值呈现出先增大、后减小、再增大的趋势。中等周期波浪作用下,静水面附近的扭王字块的变位最显著,而长周期波浪作用下,静水面上一倍波高处的扭王字块的变位最明显。

周期势场作用下非均匀可激发介质中螺旋波的演化

本文利用FitzHugh-Nagumo模型模拟了非均匀可激发介质中螺旋波在周期势场中作用下的演化。随着外场强度和频率的变化,介质中的螺旋波会发生很大程度上的变化。弱场影响下,螺旋波的边缘发生破损,并且形成新的螺旋波,系统中仍旧是一个螺旋波占主体地位。随着外场强度增加,高频时系统出现两个主要螺旋波共同主导体统的局面。当强场作用下,系统的螺旋波被完全改变了。高频时,系统中的螺旋波现象完全消失。

转型期城市中小套型住宅设计的探索与实践

随着我国经济的高速发展,中小套型住宅设计已不再仅仅是单纯的建筑活动,而是一个关于城市居住空间的深层思索。这与居民的生活方式、社会文化背景、生态环境可持续发展等密切相关。因此,本文从多个方面对我国转型期城市中小套型住宅设计进行了剖析,并对其进行创新性设计,以便在有限空间内营造出更加人性化和高效的居住环境。

中低渗油藏特高含水期深部调驱实践与认识

针对江苏油田典型特高含水油藏G6区块,结合当前开发现状及中低渗储层特征,选择分散型堵剂进行深部调驱试验,从注入粒径、注入浓度和注入体积等工艺参数对调驱工艺进行优化,现场应用2个井组。结果显示:由于长期水驱形成高渗条带与大孔道,柔性颗粒调驱剂的粒径选择不应依赖原始孔喉尺寸,应在调驱过程中根据注入压力和油井响应及时调整,添加超大颗粒或连续相高强度堵剂转向段塞,封堵高渗水窜通道;树立整体调驱理念,可有效避免注水井组互相干扰,扩大井区波及体积,达到整体降水增油的目的。

顾及周期性变化的大气加权平均温度模型构建

针对大气加权平均温度(T_(m))是地基全球卫星导航系统(GNSS)水汽反演过程中的一个中间变量,其精度会影响地基GNSS水汽反演精度,同时T_(m)表现出较强的地域性差异的现状,研究建立地区的T_(m)模型:利用兰州市榆中探空站气象数据和欧洲中期天气预报中心第五代大气再分析数据集(ERA5)分别建立单因子、顾及年周期变化、顾及年和半年周期变化的T_(m)模型;并对2种气象数据所建的3类模型进行显著性检验和精度验证。结果表明:模型均能通过显著性水平为0.05的显著性检验,同时顾及周期性变化模型的预测值的均方根误差和平均绝对误差均小于贝维斯(Bevis)模型和单因子模型;利用顾及周期变化的模型预测的T_(m)偏差中大于5 K和大于10 K的值占比明显减小且预测残差的周期趋势明显减弱,具有零均值的正态分布特性,仅表现出误差的随机性。总体而言,ERA5气象数据所建模型预测精度高于探空站气象数据所建模型;用ERA5气象数据建立的顾及周期性变化的T_(m)模型可用于兰州市GNSS大气水汽反演。

皖西地区中籼稻新品种展示比较试验

为鉴定评价引进中籼稻新品种在皖西地区生产条件下的适应性、丰产性、稳产性和抗逆性,筛选适宜在该地区推广种植的水稻新品种。本试验在皖西地区试验点对G两优777等24个参试品种和1个对照品种丰两优四号进行展示比较试验,对比分析其生育期、产量、产量结构、农艺性状及综合抗性等方面表现。综合筛选出了适宜在皖西地区及其周边推广种植的中籼稻新品种,包括嘉丰优3号、嘉科优11、荆占2号、E两优16、全两优158、G两优777、耕香优银占、节优804、隆华丝苗、健湘丝苗、忠两优鄂晶丝苗和扬籼优953。试验结果为该地区中籼稻新品种引种及推广种植提供参考。

深水中长周期波浪下打桩船动力响应研究及系泊系统优化

工程船舶在海况条件相对较差、受中长周期波浪影响的海域作业时,其作业窗口期一般较短,通常会降低施工工效,严重时也会引发系泊系统破坏或船舶倾覆事故。为了有效地解决这类问题,以海力801打桩船为例,采用水动力AQWA软件对该船舶在南美某海域风浪流共同作用下的运动响应以及系缆受力进行数值模拟,研究了不同水深、抛锚缆长度和预张力等参数对船舶运动的影响。计算结果表明,在深水区系泊有助于缓解船舶的纵横摇运动;抛锚缆长度选取6~10倍水深时,船舶运动响应和系泊系统整体受力较小;横摇运动对预张力的变化较为敏感,但是预张力对纵摇运动几乎没有影响。