ANALYSIS OF 2-D THIN STRUCTURES BY THE MESHLESS REGULAR HYBRID BOUNDARY NODE METHOD

Thin structures are generally solved by the Finite Element Method(FEM), using plate or shell finite elements which have manylimitations in applications, such as numerical locking, edge effects,length scaling and the cnvergence problem. Recently, by proposing anew approach to tranting the nearly- singular integrals, Liu et al.developed a BEM to successfully solve thin structures with thethickness-to- length ratios in the micro-or nano-scales. On the otherhand, the meshless Regular Hybrid Boundary Node Method (RHBNM), whichis proposed by the current authors and based on a modified functionaland the Moving Least-Square (MLS) approximation, has very promisingapplications for engineering problems owing To its meshless natureand dimension-reduction advantage, and not involving any singular ornearly-singular Integrals. Test examples show that the RHBNM can alsobe applied readily to thin structures with high accu- Racy withoutany modification.

A moving Kriging interpolation-based boundary node method for two-dimensional potential problems

In this paper, a meshfree boundary integral equation （BIE） method, called the moving Kriging interpolation- based boundary node method （MKIBNM）, is developed for solving two-dimensional potential problems. This study combines the DIE method with the moving Kriging interpolation to present a boundary-type meshfree method, and the corresponding formulae of the MKIBNM are derived. In the present method, the moving Kriging interpolation is applied instead of the traditional moving least-square approximation to overcome Kronecker＇s delta property, then the boundary conditions can be imposed directly and easily. To verify the accuracy and stability of the present formulation, three selected numerical examples are presented to demonstrate the efficiency of MKIBNM numerically.

DUAL RECIPROCITY HYBRID BOUNDARY NODE METHOD FOR THREE-DIMENSIONAL ELASTICITY WITH BODY FORCE

Combining Dual Reciprocity Method （DRM） with Hybrid Boundary Node Method （HBNM）, the Dual Reciprocity Hybrid Boundary Node Method （DRHBNM） is developed for three-dimensional linear elasticity problems with body force. This method can be used to solve the elasticity problems with body force without domain integral, which is inevitable by HBNM. To demonstrate the versatility and the fast convergence of this method, some numerical examples of 3-D elasticity problems with body forces are examined. The computational results show that the present method is effective and can be widely applied in solving practical engineering problems.

A scaled boundary node method applied to two-dimensional crack problems

A boundary-type meshless method called the scaled boundary node method （SBNM） is developed to directly evaluate mixed mode stress intensity factors （SIFs） without extra post-processing. The SBNM combines the scaled boundary equations with the moving Kriging （MK） interpolation to retain the dimensionality advantage of the former and the meshless attribute of the latter. As a result, the SBNM requires only a set of scattered nodes on the boundary, and the displacement field is approximated by using the MK interpolation technique, which possesses the 5 function property. This makes the developed method efficient and straightforward in imposing the essential boundary conditions, and no special treatment techniques are required. Besides, the SBNM works by weakening the governing differential equations in the circumferential direction and then solving the weakened equations analytically in the radial direction. Therefore, the SBNM permits an accurate representation of the singularities in the radial direction when the scaling center is located at the crack tip. Numerical examples using the SBNM for computing the SIFs are presented. Good agreements with available results in the literature are obtained.

MESHLESS ANALYSIS FOR THREE-DIMENSIONAL ELASTICITY WITH SINGULAR HYBRID BOUNDARY NODE METHOD

The singular hybrid boundary node method （SHBNM） is proposed for solving three-dimensional problems in linear elasticity. The SHBNM represents a coupling between the hybrid displacement variational formulations and moving least squares （MLS） approximation. The main idea is to reduce the dimensionality of the former and keep the meshless advantage of the later. The rigid movement method was employed to solve the hyper-singular integrations. The ＇boundary layer effect＇, which is the main drawback of the original Hybrid BNM, was overcome by an adaptive integration scheme. The source points of the fundamental solution were arranged directly on the boundary. Thus the uncertain scale factor taken in the regular hybrid boundary node method （RHBNM） can be avoided. Numerical examples for some 3D elastic problems were given to show the characteristics. The computation results obtained by the present method are in excellent agreement with the analytical solution. The parameters that influence the performance of this method were studied through the numerical examples.

A novel virtual node method for polygonal elements

A novel polygonal finite element method （PFEM） based on partition of unity is proposed, termed the virtual node method （VNM）. To test the performance of the present method, numerical examples are given for solid mechanics problems. With a polynomial form, the VNM achieves better results than those of traditional PFEMs, including the Wachspress method and the mean value method in standard patch tests. Compared with the standard triangular FEM, the VNM can achieve better accuracy. With the ability to construct shape functions on polygonal elements, the VNM provides greater flexibility in mesh generation. Therefore, several fracture problems are studied to demonstrate the potential implementation. With the advantage of the VNM, the convenient refinement and remeshing strategy are applied.

Interpolating Isogeometric Boundary Node Method and Isogeometric Boundary Element Method Based on Parameter Space

In this paper,general interpolating isogeometric boundary node method(IIBNM)and isogeometric boundary element method(IBEM)based on parameter space are proposed for 2D elasticity problems.In both methods,the integral cells and elements are defined in parameter space,which can reproduce the geometry exactly at all the stages.In IIBNM,the improved interpolating moving leastsquare method(IIMLS)is applied for field approximation and the shape functions have the delta function property.The Lagrangian basis functions are used for field approximation in IBEM.Thus,the boundary conditions can be imposed directly in both methods.The shape functions are defined in 1D parameter space and no curve length needs to be computed.Besides,most methods for the treatment of the singular integrals in the boundary element method can be applied in IIBNM and IBEM directly.Numerical examples have demonstrated the accuracy of the proposed methods.

Singular Hybrid Boundary Node Method for Solving Poisson Equation

作为一种边界类型无网孔的方法，单个混合边界节点方法( SHBNM )基于修改变化原则和动人的最少的平方( MLS )近似，它因此两个都有边界元素方法( BEM )和无网孔的 method.In 的优点这份报纸，双交换方法( DRM )与 SHBNM 被相结合解决答案在被划分成特别答案的泊松方程，一般 solution.The 将军答案借助于 SHBNM 被完成。

MESHLESS METHOD OF DUAL RECIPROCITY HYBRID RADIAL BOUNDARY NODE METHOD FOR ELASTICITY

Combining the radial point interpolation method （RPIM）, the dual reciprocity method （DRM） and the hybrid boundary node method （HBNM）, a dual reciprocity hybrid radial boundary node method （DHRBNM） is proposed for linear elasticity. Compared to DHBNM, RPIM is exploited to replace the moving least square （MLS） in DHRBNM, and it gets rid of the deficiency of MLS approximation, in which shape functions lack the delta function property, the boundary condition can not be applied easily and directly and it＇s computational expense is high. Besides, different approximate functions are discussed in DRM to get the interpolation property, in which the accuracy and efficiency for different basis functions are compared. Then RPIM is also applied in DRM to replace the conical function interpolation, which can greatly improve the accuracy of the present method. To demonstrate the effectiveness of the present method, DHBNM is applied for comparison, and some numerical examples of 2-D elasticity problems show that the present method is much more effective than DHBNM.

GALERKIN BOUNDARY NODE METHOD FOR EXTERIOR NEUMANN PROBLEMS

In this paper, we present a meshless Galerkin scheme of boundary integral equations （BIEs）, known as the Galerkin boundary node method （GBNM）, for two-dimensional ex- terior Neumann problems that combines the moving least-squares （MLS） approximations and a variational formulation of BIEs. In this approach, boundary conditions can be imple- mented directly despite the MLS approximations lack the delta function property. Besides, the GBNM keeps the symmetry and positive definiteness of the variational problems. A rigorous error analysis and convergence study of the method is presented in Sobolev spaces. Numerical examples are also given to illustrate the capability of the method.

Singular and Regular Implementations of the Hybrid Boundary Node Method

The hybrid boundary node method （HdBNM） combines a modified function with the moving least squares approximation to form a boundary-only truly meshless method. This paper describes two implementations of the HdBNM, the singular hybrid boundary node method （ShBNM） and the regular hybrid boundary node method （RhBNM）. The ShBNM and RhBNM were compared with each other, and the parameters that influence their performance were studied in detail. The convergence rates and their applicability to thin structures were also investigated. The ShBNM and RhBNM are found to be very easy to implement and to efficiently obtain numerical solutions to computational mechanics problems.

Shift control method for the local time at descendi ngnode based on sun-synchronous orbit satellite

This article analyzes the shift factors of the descending node local time for sun-synchronous satellites and proposes a shift control method to keep the local time shift within an allowance range. It is found that the satellite orbit design and the orbit injection deviation are the causes for the initial shift velocity, whereas the atmospheric drag and the sun gravitational perturbation produce the shift acceleration. To deal with these shift factors, a shift control method is put forward, through such methods as orbit variation design, orbit altitude, and inclination keeping control. The simulation experiment and practical application have proved the effectiveness of this control method.

特深井钻柱动力学特性模拟与分析

随着钻井深度不断增加,钻柱运动所涉及的力学问题变得更加复杂,钻柱动力学特性模拟及分析可为安全优质高效钻井提供支撑。为了探求特深井钻柱的运动特性,将钻柱运动的控制方程采用Newmark法对时间离散后,运用SOR节点迭代法,对每一时间步的钻柱整体构形进行求解,实现了总长超9000 m的钻柱动力学特性模拟,不仅给出了钻柱4个典型位置的涡动轨迹、涡动速度和横向加速度,还分析了钻柱的粘滑特性。分析结果表明,上部钻柱的涡动及粘滑现象不明显;随着位置下移,出现不规则涡动及不充分粘滑现象;近钻头位置的钻柱会出现较剧烈涡动,也会出现粘滑振动;中性点位置处钻柱的涡动最为剧烈、碰摩严重,可能给钻柱带来安全隐患。研究结果为特深井安全钻井提供了理论依据。

An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes

In this paper we propose a collocation method for solving Lane-Emden type equation which is nonlinear or-dinary differential equation on the semi-infinite domain. This equation is categorized as singular initial value problems. We solve this equation by the generalized Laguerre polynomial collocation method based on Her-mite-Gauss nodes. This method solves the problem on the semi-infinite domain without truncating it to a fi-nite domain and transforming domain of the problem to a finite domain. In addition, this method reduces so-lution of the problem to solution of a system of algebraic equations.

物联网环境下复杂光纤通信传输网络节点调度

为了解决物联网环境下,光纤通信传输网络节点能耗高、调度效率低的问题,提出一种物联网环境下复杂光纤通信传输网络节点调度方法。在物联网环境下,分析光纤通信传输网络节点的分布情况,根据动态联盟理论,以最快调度速度和最小投资为目标,构建复杂光纤通信传输网络节点调度模型。通过蚁群和粒子群算法相结合的融合算法展开全部搜索,获取最佳调度方案,实现光纤通信传输网络节点调度。实验结果表明,所提方法的节点平均能耗在6.0 mJ以下,LBF值始终高于0.20,且节点调度耗时始终低于200 ms,具有良好的调度效果。

超声造影体表定位联合纳米炭示踪行前哨淋巴结活检在cN0期浸润性乳腺癌病人中的应用分析

目的对比分析在cN0期浸润性乳腺癌(IBC)病人中应用超声造影(CEUS)体表定位联合纳米炭示踪行前哨淋巴结活检(SLNB)与单一染料法示踪行SLNB的手术耗时及其对前哨淋巴结(SLN)的检出率与检出数目,探讨CEUS体表定位联合纳米炭示踪行SLNB的可行性。方法收集2018年1月1日~2023年4月30日于北京市顺义区医院诊治的199例cN0期IBC病人临床病理学资料,根据SLN示踪方法不同将所有病人分为染料法组100例和联合法组99例,染料法组应用纳米炭示踪行SLNB,联合法组术前应用CEUS对SLN行体表标记定位,术中应用纳米炭示踪行SLNB。结果SLN检出率为96.48%(192/199),染料法组检出率为95.00%,平均检出SLN(2.79±1.228)枚,联合法检出率为97.98%,平均检出SLN(3.32±1.469)枚,两组SLN的检出率比较差异无统计学意义(P>0.05),联合法组SLN的平均检出数目多于染料法组(P<0.05),但两组SLN检出数目分布比较差异无统计学意义(P>0.05),联合法组的SLNB手术耗时明显短于染料法[(13.83±4.58)min比(19.85±3.20)min,P<0.05]。结论联合法行SLNB可降低手术耗时并提高SLN的检出率及检出数目。

自由节点差分法寻点策略研究及验证

混合网格具有良好的贴体性,适用于Navier-Stokes方程的计算,但在网格交界面处需要通过插值进行流场信息交换,而这一过程会引入误差。陈洁等提出了一种适用于无序网格点的自由节点差分计算方法,该方法可对重叠网格交界面流场进行差分计算,无须采用插值方法进行流场信息传递,解决了插值方法引入误差的问题。但该自由节点差分法的计算模板需要从中心点周围的点云中选择网格点构成,不同选点策略对计算结果的影响不同。针对自由节点差分法的选点需求,本文综合考虑角度、正交性、距离等因素,提出了几种不同选点策略,并利用数值实验进行了验证。结果表明,本文提出的选点策略符合自由节点差分法的构造思想,均能获得稳定的收敛解,其中模板点与中心点距离对计算精度影响最大,是选点策略的首要影响因素。

超临界CO_(2)印刷电路板换热器热工水力特性研究

对于超临界CO_(2)布雷顿循环中的印刷电路板换热器,其复杂结构与工作介质的特殊物理性质将导致集总参数方法出现较大的计算误差。为提升印刷电路板换热器的换热参数的计算精度,本文基于Modelica语言,采取分节点建模方法,开发了印刷电路板换热器的热工水力特性计算程序,对其稳态运行时的换热参数进行了分析。结果表明:印刷电路板换热器的通道内超临界CO_(2)的对流换热系数沿流动方向发生显著变化。与设计值相比,分节点计算程序的最大相对误差小于3%,计算精度相比于集总参数方法显著提升,因此有必要采取分节点计算方法以提高计算精度。研究结果可为超临界CO_(2)布雷顿循环系统中印刷电路板换热器的设计和仿真提供参考。

基于OODA环的杀伤网节点重要性评估

基于网络信息体系的联合作战中,破坏敌杀伤网、降效敌杀伤体系作战效能,要求能够识别敌杀伤网中关键节点。基于OODA环理论及杀伤链概念建模,利用节点删除法,通过网络作战能力及网络循环效率两项指标的下降程度评估杀伤网节点的重要性,克服传统评估方法在指标计算中存在冗余的问题,提高评估精度。采用该方法评估某作战演练中敌方杀伤网节点的重要性,精准识别指挥决策节点的枢纽作用,验证方法的有效性,并对杀伤网节点的重要性进行评估排序,为选择进攻要点提供依据。

基于快速多极杂交边界点法的三维弹性力学问题求解

杂交边界点法是近年来快速发展的一种无网格方法,国内外学者已成功将快速多极算法与边界元方法相结合,使得边界元的应用范围进一步扩大。为此,开展了将快速多极算法与杂交边界点法相结合计算三维弹性力学问题的研究。三维弹性力学的基本解利用球谐函数展开为级数,并通过自适应八叉树结构将求解域分解为分级不相邻的区域。数值算例表明,快速多极杂交边界点法具有很好的计算精度和计算效率,该算法在普通个人电脑上,可以在令人接受的时间内完成40万以上自由度的计算。因此,该算法在大规模问题的计算中具有显著优势,对于复合材料、加筋混凝土等更为复杂材料的力学问题具有实用性。