Generalized nth-Order Perturbation Method Based on Loop Subdivision Surface Boundary Element Method for Three-Dimensional Broadband Structural Acoustic Uncertainty Analysis

In this paper,a generalized nth-order perturbation method based on the isogeometric boundary element method is proposed for the uncertainty analysis of broadband structural acoustic scattering problems.The Burton-Miller method is employed to solve the problem of non-unique solutions that may be encountered in the external acoustic field,and the nth-order discretization formulation of the boundary integral equation is derived.In addition,the computation of loop subdivision surfaces and the subdivision rules are introduced.In order to confirm the effectiveness of the algorithm,the computed results are contrasted and analyzed with the results under Monte Carlo simulations(MCs)through several numerical examples.

A Subdivision-Based Combined Shape and Topology Optimization in Acoustics

We propose a combined shape and topology optimization approach in this research for 3D acoustics by using the isogeometric boundary element method with subdivision surfaces.The existing structural optimization methods mainly contain shape and topology schemes,with the former changing the surface geometric profile of the structure and the latter changing thematerial distribution topology or hole topology of the structure.In the present acoustic performance optimization,the coordinates of the control points in the subdivision surfaces fine mesh are selected as the shape design parameters of the structure,the artificial density of the sound absorbing material covered on the structure surface is set as the topology design parameter,and the combined topology and shape optimization approach is established through the sound field analysis of the subdivision surfaces boundary element method as a bridge.The topology and shape sensitivities of the approach are calculated using the adjoint variable method,which ensures the efficiency of the optimization.The geometric jaggedness and material distribution discontinuities that appear in the optimization process are overcome to a certain degree by the multiresolution method and solid isotropic material with penalization.Numerical examples are given to validate the effectiveness of the presented optimization approach.

Resources calculation of cobalt-rich crusts with the grid subdivision and integral method

On the basis of three geological models and several orebody boundaries, a method of grid subdivision and integral has been proposed to calculate and evaluate the resources of cobalt-rich crusts on the seamounts in the central Pacific Ocean. The formulas of this method are deduced and the interface of program module is designed. The method is carried out in the software ＂Auto mapping system of submarine topography and geomorphology MBChart＂. This method and program will possibly become a potential tool to calculate the resources of seamounts and determine the target diggings for China＇ s next Five-year Plan.

Subdivision Surface-Based Isogeometric Boundary Element Method for Steady Heat Conduction Problems with Variable Coefficient

The present work couples isogeometric analysis(IGA)and boundary element methods(BEM)for three dimensional steady heat conduction problems with variable coefficients.The Computer-Aided Design(CAD)geometries are built by subdivision surfaces,and meantime the basis functions of subdivision surfaces are employed to discretize the boundary integral equations for heat conduction analysis.Moreover,the radial integration method is adopted to transform the additional domain integrals caused by variable coefficients to the boundary integrals.Several numerical examples are provided to demonstrate the correctness and advantages of the proposed algorithm in the integration of CAD and numerical analysis.

A Blend of Subdivision Surfaces and NURBS

In present paper, the contour deletion method is developed both to blend surfaces and to fill N-sided holes, which is used for subdividing the NURBS surface. First, according to the non-uniform Catmull-Clark subdivision principle, surfaces are blended. The non-uniform Catmull-Clark subdivision method is constructed, which build the surface through interpolating comer vertices and boundary curves. Then the contour deletion method is adapted to remove the controlling mesh boundary contour in the process of segmentation iteration. Last, N sided-hole is filled to generate a integral smooth continuous surface. This method not only guarantee that the blending surface and base surface patches have C2 continuity at the boundary, but also greatly improve the smoothness of the N-side hole filling surface. The results show that, this method simplifies the specific computer-implemented process, broads the scope of application of subdivision surfaces, and solves the incompatible problem between the subdivision surface and classical spline. The resulting surface has both advantages of the subdivision surface and classical spline, and also has better filling effect.

基于特征分区的奇异域积分单元细分法

针对传统方法难以解决积分方程中的奇异性问题,提出一种基于特征分区的奇异域积分单元细分法,该方法基于体二叉树数据结构对不同类型体单元自适应细分,能精确计算任意源点位置的三维奇异积分,消除积分的奇异性.在笛卡尔坐标系下,通过在源点构建包围盒对体单元特征分区,将体单元划分为腔面投影区域和单元细分区域,依照细分准则对单元细分区域递归细分,采用腔面重构算法和投影算法,重新在源点附近生成高质量的积分子单元.数值算例表明,该方法的积分计算精度、稳定性优于传统单元细分方法.

Geometric Multigrid Method for Isogeometric Analysis

The isogeometric analysis method(IGA)is a new type of numerical method solving partial differential equations.Compared with the traditional finite element method,IGA based on geometric spline can keep the model consistency between geometry and analysis,and provide higher precision with less freedom.However,huge stiffness matrix fromthe subdivision progress still leads to the solution efficiency problems.This paper presents amultigrid method based on geometric multigrid(GMG)to solve the matrix system of IGA.This method extracts the required computational data for multigrid method fromthe IGA process,which also can be used to improve the traditional algebraic multigrid method(AGM).Based on this,a full multigrid method(FMG)based on GMG is proposed.In order to verify the validity and reliability of these methods,this paper did some test on Poisson’s equation and Reynolds’equation and compared the methods on different subdivision methods,different grid degrees of freedom,different cyclic structure degrees,and studied the convergence rate under different subdivision strategies.The results show that the proposed method is superior to the conventional algebraic multigrid method,and for the standard relaxed V-cycle iteration,the method still has a convergence speed independent of the grid size at the same degrees.

Noise Pollution Reduction through a Novel Optimization Procedure in Passive Control Methods

This paper proposes a novel optimization framework in passive control techniques to reduce noise pollution.The geometries of the structures are represented by Catmull-Clark subdivision surfaces,which are able to build gap-free Computer-Aided Design models and meanwhile tackle the extraordinary points that are commonly encountered in geometricmodelling.The acoustic fields are simulated using the isogeometric boundary elementmethod,and a density-based topology optimization is conducted to optimize distribution of sound-absorbing materials adhered to structural surfaces.The approach enables one to perform acoustic optimization from Computer-Aided Design models directly without needingmeshing and volume parameterization,thereby avoiding the geometric errors and time-consuming preprocessing steps in conventional simulation and optimization methods.The effectiveness of the present method is demonstrated by three dimensional numerical examples.

路面不平度模型对车辆侧翻瞬态响应的影响分析

精准的路面不平度模型可以提高车辆在瞬态响应的估算精度。结合国标中的标准路面谱和路面形貌自相似性特点,利用傅里叶逆变换法和正方形细分法分别建立平整路面、二维路面和三维路面模型。在双移线、鱼钩工况和角阶跃典型工况下,对比分析不同路面不同平度模型下横向载荷转移率(LTR)、侧向加速度、横摆角速度和侧倾角4个瞬态响应的区别。其中三维路面模型对各响应影响最大,车辆侧翻时其各响应的数值达到侧翻阈值。验证了多维度路面模型建立的可行性,为车辆侧翻瞬态响应研究提供了理论基础。

基于DPRNN语音分离的变时长型S-T课堂教学分析法

在教育智能信息化的大环境下,智能且自动的教学评价体系必不可少,课堂教学分析是教育评价领域的重要环节。本文针对课堂教学分析问题,提出一种利用DPRNN分离课堂音频并使用S-T分析法进行分析的方法。该方法以DPRNN为基础,获取较精确的教师音频,通过平均细分变时长编码法对音频进行S-T编码处理。相比基于视频的传统的S-T分析法,该方法具有成本低、方便处理、具有时间不变性及准确性较高等优点。

基于细分法的大跨度复杂钢结构空间测量方法

为掌握大跨度复杂钢结构的施工质量,判断其空间分布情况。文中提出基于细分法的大跨度复杂钢结构空间测量方法,采用三维激光扫描仪立面扫描大跨度复杂钢结构,获取钢结构的点云数据;基于迭代滤波模型的距离降噪方法,处理采集的钢结构点云数据,删除点云数据中的噪声点;依据该数据,利用Catmull-Clark体细分法,构建大跨度复杂钢结构的曲面模型,并利用PIA差值法进行优化,提升模型构建精度。测试结果显示,该方法能够完成目标钢结构模型的构建,能够清晰呈现结构各个转角点的空间位置,判断模型结果和设计结果的吻合程度,实现大跨度复杂钢结构空间测量。

基于反正切法细分的光栅编码器设计

介绍了一种数字处理技术实现对光栅编码器所产生莫尔条纹信号的细分。莫尔信号经过光电转换后输出两路正余弦信号并通过光栅解码电路对其AD(analog to digital)采样,利用正切值消除正余弦信号的非线性误差,根据正余弦信号的正负将一个周期信号分割成8份,通过反正切角度值实现对每一份的细分。最后将此设计应用于单轴转台。实验结果表明,光栅编码器输出的的静态位置精度可以达到0.000 1°,动态位置及速度曲线无跳变,满足使用要求。

高效率的三角网格模型保特征简化方法

部分三角网格模型因数据量庞大而导致其不便于存储、分析和显示,本文提出了一种结合网格精细化方法的三角形折叠网格简化算法以解决此问题。首先通过3^(1/2)网格细分法确定待折叠三角形三个顶点的修正坐标,并根据修正坐标初步确定折叠点位置,然后引入折叠点的拉普拉斯坐标和原三角形法向信息来更新折叠点位置,最后由三角形折叠后该区域的体积误差和被折叠三角形的平展度共同确定折叠代价,从而使网格优先从较为平坦和特征点较少的区域开始依次进行三角形折叠简化。对多个模型进行了实验测试和数据分析,结果表明该方法能够有效精简网格数据,与3个不同类型的简化方法相比,该方法的简化效率最高,而且能有效保持原网格模型的几何特征并控制简化三角形的质量。

正切法莫尔条纹信号幅值分割细分的误差分析

提出一种在使用正切法对莫尔条纹信号进行幅值分割细分时的误差计算方法。分析了在信号中含有直流分量、二次谐波噪声及幅值不等、相位不正交误差时,所构造的正切函数相位变化情况。先判断出正切函数相位变化关键点,分别计算其相位改变最大值,以此确定对细分精度影响最大的噪声及误差种类,便于在实际应用中有针对性地对信号进行降噪处理,并计算出细分误差。同时应用MATLAB在理想信号中加入上述噪声及误差,精确仿真非理想信号对细分的影响,绘制出相关图形。

边界元法在块状土壤结构接地中的应用研究

目前通常用直接边界元法和间接边界元法对块状土壤接地问题进行研究,但对这2种方法进行对比研究却鲜见报道。对地网处在块状土壤区域中的接地模型分别用直接边界元法和间接边界元法法进行原理推导,通过与接地软件CDEGS的计算结果进行对比表明2种方法及编程原理的正确性;计算结果表明在相同边界剖分方式下,直接边界元法在求解该块状土壤接地模型时需要的剖分单元数量比间接边界元法需要的剖分单元数量更少,而且随着块状土壤厚度的减小,直接边界元法在剖分数量上的优势更加明显且计算结果更加稳定。最后运用直接边界元法对较为复杂的块状土壤接地模型进行计算,计算结果对实际接地工程应用提供了参考。

最小条件下一般二次曲面轮廓度误差的评定

为准确、快速地评定任意位姿的一般二次曲面轮廓度误差,提出以改进粒子群算法(IPSO)和角度分割逼近法为基础的最小区域评定方法。首先,提出角度分割逼近法计算的所有测量点与一般二次曲面的距离,并以其中最大值作为任意位姿二次曲面方程拟合算法的目标函数。其次,结合模型中目标函数的特点,提出以最优化解析法思想、自然选择和杂交结合PSO算法的新IPSO算法解决误差评定模型的优化问题。实验采用上述方法对某抛物面天线进行评定,与最小二乘算法(LSM)、标准PSO算法的结果和进化曲线等进行比较,同时比较商用软件SA的评定结果。结果表明结合PSO、最优化分析法思想、角度分割逼近法的新方法可更快速、准确地解决任意位姿的二次曲面轮廓度误差评定问题。

有限元法分析高压架空线路附近电场分布

为准确得到实际建筑物及其周围场强分布,应用三维有限元法分析高压架空线路附近建筑物及其邻近区域中的电场分布。采用的模型考虑了高压架空线和实际建筑物(即建筑物墙壁、楼层间钢筋等)结构,并用六面体单元剖分整体模型以减少三维模型单元数量和提高计算精度。再应用子模型法校核计算结果的准确性,然后分别计算空间中有建筑物时房屋顶部和内部和无建筑物时同样位置的电场分布。最后讨论建筑物对其外部电场的畸变作用及对其内部电场的屏蔽作用。结果表明:架空线路附近的建筑物会改变空间电场分布,且建筑物附近电场强度的最大值出现在建筑物外廓尖角处。

基于广义离散分解trimmed曲面

在几何造型系统中，复杂形体往往由Ｔｒｉｍｍｅｄ曲面拼合而成，因此Ｔｒｉｍｍｅｄ曲面的表示与处理在计算机辅助设计中非常重要．本文应用Ｂéｚｉｅｒ曲面的广义离散算法，研究了ｔｒｉｍｍｅｄＢéｚｉｅｒ曲面的表示问题．分别利用约束优化方法和图形学中的扫描线思想，给出了ｔｒｉｍｍｉｎｇ线的Ｂéｚｉｅｒ函数逼近和ｔｒｉｍｍｅｄ曲面参数域的分解算法．通过分解参数域，将ｔｒｉｍｍｅｄ曲面表示为多张完整的Ｂéｚｉｅｒ矩形片．

任意采空区边界信息处理与有限元网格生成

建立了任意形状采空区边界信息的管理规则,以已知漏风边界的剖分精度作为区域网格密度函数的依据,用前沿生成法的网格剖分技术自动生成Delaunay三角形单元。优先处理最长前沿边,网格节点间距密度按该边距条件边界的距离的线性函数,来控制区域内网格的尺寸变化,最终实现区域内部网格的疏密逐渐过渡,采用Laplacian优化法进行光顺处理,进一步改善了三角形质量。算例表明,可按任意采空区形状和精度自动生成三角单元,调整方便。

正余弦编码器细分算法误差分析及补偿

针对正余弦编码器产生的信号存在偏差导致测量不够精确的问题,分析了含有直流偏置、幅值偏差、相位偏差时,构造的正切函数的相位变化情况,通过计算及仿真求得了变化的最大值;分析计算了偏差对测量角度的影响,以此确定具有最大影响的偏差;提出了相应的偏差补偿方法以减少测量结果的误差。采用Matlab软件计算对比了补偿前、后的测量结果,验证了补偿算法的有效性。