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.

A Combined Shape and Topology Optimization Based on Isogeometric Boundary Element Method for 3D Acoustics

A combined shape and topology optimization algorithm based on isogeometric boundary element method for 3D acoustics is developed in this study.The key treatment involves using adjoint variable method in shape sensitivity analysis with respect to non-uniform rational basis splines control points,and in topology sensitivity analysis with respect to the artificial densities of sound absorption material.OpenMP tool in Fortran code is adopted to improve the efficiency of analysis.To consider the features and efficiencies of the two types of optimization methods,this study adopts a combined iteration scheme for the optimization process to investigate the simultaneous change of geometry shape and distribution of material to achieve better noise control.Numerical examples,such as sound barrier,simple tank,and BeTSSi submarine,are performed to validate the advantage of combined optimization in noise reduction,and to demonstrate the potential of the proposed method for engineering problems.

Postbuckling of Imperfect Stiffened Cylindrical Shells Under Combined External Liquid Pressure and Axial Compression

posthuckling analysis is presented for the stilTened cylindrical shell of finite length subjected to combined loading of external liquid pressure and axial compression. The formulations are based on a boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, nonlinear large deflections in the postbuckling range and initial geometrical imperfections of the shell. The 'smeared stifl'cner' approach is adopted for the stiffencrs. In the analysis a singular perturbation technique is used (o determine the interactive buckling loads and the postbuckling paths. Numerical examples cover the performance of perfect and imperfect, stringer and ring stiffened cylindrical shells. Typical results arc presented in the dimcnsionless graphical form.

POSTBUCKLING OF IMPERFECT STIFFENED CYLINDRICAL SHELLS UNDER COMBINED EXTERNAL PRESSURE AND HEATING

A postbuckling analysis is presented for a stiffened cylindrical shell of finite length subjected to combined loading of external pressure and a uniform temperature rise. The formulations are based on a boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, nonlinear large deflections in the postbuckling range and initial geometrical imperfections of the shell. The 'smeared stiffener' approach is adopted for the stiffeners. The analysis uses a singular perturbation technique to determine the interactive buckling loads and the postbuckling equilibrium paths. Numerical examples cover the performances of perfect and imperfect, stringer and ring stiffened cylindrical shells. Typical results are presented in dimensionless graphical form.

Role of grain boundary networks in vortex motion in superconducting films

We study the vortex dynamics of the polycrystalline superconductors in the presence of both random point defects and the generated grain boundary(GB) networks with Voronoi diagram. The synergistic effect of adjacent GBs on restricting the vortex motion in intragranular region is proposed and the corresponding intensity factor of the synergistic effect which characterizes the strength of the synergistic restriction of adjacent grain boundaries is also determined in the present work.The interconnected GBs offer easy-flow channels for vortices in addition to pinning effects on the vortices. The combined channels and the vortex flow patterns in the superconducting film are analyzed in detail from molecular dynamics simulations. Furthermore, it is discovered that the critical current increases with the decrease of magnetic field intensity,temperature, and the average grain size. The large number of vortices results in the enhanced repulsive interaction forcing the vortices to move out from the GBs. The thermal depinning from GBs leads to the lower Lorentz force range. The increase of the grain size causes the number of GBs to decrease. In summary, these effects leads the critical current to become a decreasing function of magnetic field, temperature, and grain size.

A COMBINED TECHNIQUE FOR SOLUTION OF PDE＇s VIA THE GENERALIZED DOMAIN DECOMPOSITION METHOD

The Domain Decomposition Method(DDM) is a powerful approach to solving maily types of PDE's. DDM is especially suitable for massively Parallel computers. In the past, most research on DDM has focused on the domain splitting technique. In this paper. we focus our attention on use of a combination of techniques to solve each subproblem. The central question with DDM is that of how to doal with the pseodoboundary conditions. Here, we introduce a set of operators which act on the pseudo-boundaries in the solution process, referring to this new. procedure as the 'Generalized Domain Decomposition A.Jlethod(GDDM).' We have already obtained convergence factors for GDDM with certain classes of PDE's. These ctonvergence factors show that we can derive exact solutions of the whole problem for certain types of PDE's, and can get superior speed of convergence for other types.

基于组合边界条件的固体材料热扩散系数测试方法

提出了一种组合边界条件下结合传热反问题思想测算固体材料热扩散系数的方法.建立了正问题理论模型,基于有限体积法和交替方向隐式方法的思想利用MATLAB软件对正问题温度场进行数值求解,利用共轭梯度法结合软件编程求解反问题,反演得到材料的热扩散系数.设计了实验方案并搭建了完整的测试系统,利用测试装置对亚克力板(PMMA)、硼硅玻璃(Pyrex7740)、大理石3种材料进行了综合实验,结果表明导热系数测试结果与文献值的最大相对偏差为3.45%,小于5%,验证了测试方法和装置的可行性与准确性.进一步对PMMA热扩散系数实验的不确定度进行了分析,得到扩展不确定度为4.86%,处于较低水平,说明实验数据可靠,测试方法科学.

二尖瓣运动的流固耦合仿真

目的 建立包含左心和血液的二尖瓣理想模型,用流固耦合仿真研究二尖瓣在血流中的运动特性。方法 基于解剖学参数建立二尖瓣、左心和血液模型,流固耦合仿真采用有限元结合浸没边界法,使用有限元软件LS-DYNA模拟二尖瓣运动,获取形态学、力学和血液动力学参数,并与结构仿真结果进行对比。结果 两种仿真下二尖瓣形态学结果差异较大,流固耦合结果与超声影像吻合。流固耦合仿真和结构仿真的瓣叶应力分布结果一致,最大第一主应力分别为1.48、1.53 MPa,相对误差为3.27%。左心流场有较为复杂的涡旋结构,舒张期二尖瓣最大流速为1.02 m/s,与健康人体生理数据(0.89±0.15) m/s相吻合。结论 二尖瓣流固耦合仿真可以获取更贴近于生理的形态学结果;流固耦合仿真可以提供临床诊断不可或缺的流场参数信息;单研究瓣叶应力分布问题时,结构仿真更高效。

耦合边界元法和等效源法的稳健CHIEF法

针对声学边界元法中解的非唯一性和奇异积分问题,基于组合亥姆霍兹积分方程公式(combined helmholtz integral equation formulation,CHIEF)法思想,将常规边界元方程和等效源方程进行联立,并利用两者方程系数矩阵间的耦合等价关系,间接替换计算常规边界元法中的奇异系数矩阵,进而提出一种具有全频域唯一解、高计算精度和高稳定性的耦合CHIEF法。该方法将等效源方程作为补充方程,不仅解决了传统CHIEF法内点补充方程失效的问题,而且矩阵的间接替换计算避免了直接计算奇异积分,显著提高了计算效率和精度。通过声辐射和声散射的典型算例对比了所提方法、常规边界元法、常规Burton-Miller法和等效源法的计算效果。结果表明,所提方法不仅在全波数域内均能获得唯一解,且其计算精度和效率均优于常规边界元法和常规Burton-Miller方法,其系数矩阵条件数远低于等效源法。

充填体—边界介质组合体剪切力学特性与参数分析

充填体—边界介质组合体接触面的剪切力学特性与参数是研究充填采场应力分布与充填体揭露稳定性评价的基础数据。通过室内直剪试验与RFPA^(3D)数值模拟试验联合手段,对3种灰砂配比(1∶4、1∶8和1∶20)、4种接触面法向应力(50 k Pa、100 k Pa、150 k Pa和200 k Pa)的充填体—边界介质组合体(充填体—围岩、充填体—矿体、胶结充填体—非胶结充填体)的剪切力学特性与声发射特征、黏聚力和内摩擦角参数变化规律进行了分析。结果表明:随灰砂配比降低,充填体—围岩组合体峰值剪切强度减少,破坏模式由脆性变为延性,破坏形态由颗粒粘连、块状粘连到凸起体尖端被剪断。灰砂配比1∶4组合体发生破坏时剪切应力垂直下降,振铃计数率突然骤增,其他阶段振铃计数率相对较小。灰砂配比1∶8和1∶20组合体从裂隙压密到破坏阶段,声发射振铃计数率密集,剪切过程中有明显剪胀变形;充填体—边界介质组合体接触面的峰值剪切强度随法向应力、灰砂配比降低而减少。胶结充填体—围岩接触面峰值剪切强度略小于胶结充填体—矿体强度,胶结—非胶结充填体组合体峰值强度远小于胶结充填体—矿岩组合体,接近非胶结充填体自身强度;充填体—边界介质组合体接触面的黏聚力和内摩擦角随灰砂配比降低而减少。充填体—围岩与充填体—矿体黏聚力和内摩擦角接近,胶结—非胶结充填体组合体黏聚力和内摩擦角参数远小于胶结充填体—矿岩组合体。研究结果拓展了充填体—边界介质组合体剪切力学特性获取方法,为充填采场稳定性分析提供了基础数据。

温度场下功能梯度圆锥壳-环板振动特性分析

针对功能梯度圆锥壳-环板组合结构振动问题,本文采用一阶剪切变形理论和Rayleigh-Ritz法分析了温度场下组合结构的振动特性。组合结构位移变量采用谱几何法来表征,考虑材料参数与温度相关并引入人工边界弹簧建立了组合结构振动特性分析模型。数值算例中,通过将文中求解结果与文献解和有限元法结果进行对比验证了模型的正确性,进而分析尺寸、材料、温度和连接位置等参数对结构振动特性的影响。研究结果表明:组合结构基频随厚度增加而增加,随着幂律指数、半顶角和温度场参数增加而降低,随环板内径和连接位置变化会呈现非单一变化趋势。

Three-Dimensional Boundary Element Method Applied to Nonlinear Wave Transformation

For higher accuracy in simulating the transformation of three dimensional waves, in consideration of the advantages of constant panels and linear elements, a combined boundary elements is applied in this research. The method can be used to remove the transverse vibration due to the accumulation of computational errors. A combined boundary condition of sponge layer and Sommerfeld radiation condition is used to remove the reflected waves from the computing domain. By following the water particle on the water surface, the third order Stokes wave transform is simulated by the numerical wave flume technique. The computed results are in good agreement with theoretical ones.

GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY

In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free boundary. It is shown that for the ideal polytropic gas, the superposition of the viscous contact wave with rarefaction wave is nonlinearly stable for the free boundary problem under the large initial perturbations for any γ 〉 1 with V being the adiabatic exponent provided that the wave strength is suitably small.

Research on Chinese Education Philosophy of "Truth, Kindness, and Aesthetics Combination "

Chinese Education Philosophy of "Truth, Kindness, and Aesthetics Combination" manifests in the research on Chinese education from aesthetics perspective. It aims at the "narrow and limited view" of "not the general aesthetics, but the artistic beauty only", and it aims at biased opinion of "the interest saying", "the fine arts saying", "the esthetic sense saying" on aesthetics. It also aims at serious distraction of "LEFT in form but RIGHT in essence" of the mainstream ideology "the thought", "the revolution", "politics" and so on. It is a complex study of Chinese education from the philosophy of the unity of Truth, Kindness, and Aesthetics of oriental aesthetics, the consensus of Truth, Kindness, and Aesthetics of Western aesthetics, and the identity of Truth, Kindness, and Aesthetics of Marx aesthetics. From aesthetics perspective, it studies Chinese education, "combing" the reversed relationships among "truth", "kindness" and "aesthetics" in Chinese, adopting the methods of "research with great ease", "cases study", and "combination of ration and perception", to achieve "truth" of in Chinese, "kindness" of and "aesthetics" of , promote the development of "Chinese intellectual education", "Chinese moral education", and "Chinese aesthetic education" harmoniously, to realize the "Truth, Kindness, and Aesthetics Combination" of Chinese education and to reach the brand-new boundary territory of "human development and integrity construction" effectively.

Investigation of nanofluid flow in a vertical channel considering polynomial boundary conditions by Akbari-Ganji’s method

In this research,a vertical channel containing a laminar and fully developed nanofluid flow is investigated.The channel surface’s boundary conditions for temperature and volume fraction functions are considered qth-order polynomials.The equations related to this problem have been extracted and then solved by the AGM and validated through the Runge-Kutta numerical method and another similar study.In the study,the effect of parameters,including Grashof number,Brownian motion parameter,etc.,on the motion,velocity,temperature,and volume fraction of nanofluids have been analyzed.The results demonstrate that increasing the Gr number by 100%will increase the velocity profile function by 78%and decrease the temperature and fraction profiles by 20.87%and 120.75%.Moreover,rising the Brownian motion parameter in five different sizes(0.1,0.2,0.3,0.4,and 0.5)causes lesser velocity,about 24.3%at first and 4.35%at the last level,and a maximum 52.86%increase for temperature and a 24.32%rise for ψ occurs when N b rises from 0.1 to 0.2.For all N_(t) values,at least 55.44%,18.69%,for F(η),andΩ(η),and 20.23%rise for ψ(η)function is observed.Furthermore,enlarging the N r parameter from 0.25 to 0.1 leads F(η)to rise by 199.7%,fluid dimensionless temperature,and dimensional volume fraction to decrease by 18%and 92.3%.In the end,a greater value of q means a more powerful energy source,amplifying all velocity,temperature,and volume fraction functions.The main novelty of this research is the combined convection qth-order polynomials boundary condition applied to the channel walls.Moreover,The AMG semi-analytical method is used as a novel method to solve the governing equations.

基于信息熵变权区间组合和边界逼近的短期光伏功率区间预测

针对现有的区间预测在满足高覆盖率的同时区间宽度存在过宽的问题,提出一种基于信息熵变权区间组合和边界逼近的短期光伏功率区间预测方法。首先,对历史天气数据特征进行特征重组,并基于套索交叉的递归特征消除(LassoCV-RFE)算法对重组后的特征进行筛选。然后,采用动态贝叶斯网络模型和基于卷积长短期记忆网络的改进分位数回归模型(CNNLSTM-QH)分别预测光伏出力的置信区间,根据信息熵进行区间变权组合。最后,结合区间覆盖率和区间宽度指标,构建边界逼近函数和惩罚边界,对两个预测结果加权组合后的区间进行边界逼近。仿真结果表明:相比于一般的单一模型方法,所提方法能在95%、90%和85%的置信水平下分别减小21.86%、16.67%和14.93%的平均区间宽度,同时区间覆盖率也能满足对应的置信度要求。

辫状河三角洲前缘水下分流河道精细刻画方法:以南堡凹陷M油田东一段为例

河道单成因砂体划分精度直接影响剩余油刻画精度,进而决定了开发治理和调整的效果。以南堡凹陷M油田辫状河三角洲前缘沉积储层为例,优选地震属性刻画单一朵体边界,在辫状河三角洲前缘地质知识库约束下追踪河道主流线,采用拟声波反演技术刻画河道边界,结合动态资料验证,进行了水下分流河道的精细刻画。研究表明:M油田同期多朵体发育,单个朵体发育2~8支河道,水下分流河道宽度在80~240 m之间,最宽可达440 m,单成因砂体厚度为2.6~5.8 m,河道的宽厚比为25∶1~78∶1,动态验证资料及钻井结果的对比表明河道刻画预测精度吻合率达90%。通过河道精细刻画,提高了砂体展布方向的预测精度和剩余油刻画的精度,为后期开发治理提供了地质依据。这种对砂体边界进行逐级刻画的储层综合预测方法在复杂断块泛连通辫状河三角洲前缘储层的水下分流河道刻画方面具有一定的参考价值。

拉伸-扭转-弯曲作用下系泊缆索的应力响应

考虑6×19多股系泊缆索编制特点,研究缆索受到拉伸-扭转-弯曲共同作用下的应力响应。推导多股系泊缆索的螺旋线方程和不同层股丝接触点轴向距离,建立仿真模型中的代表性体积元素,推导该体积元素下的周期性边界条件,简化多股系泊缆索仿真模型,进一步优化应变和曲率加载方式,优化仿真模型加载形式。在有限元软件ANSYS中进行仿真分析,同时与解析模型进行对照。结果表明,所选取的代表性体积元素和周期性边界条件计算可靠,应力与曲率半径为非线性负相关关系,应变与应力为线性正相关关系,不同应变下曲率半径对应力的影响主要体现在最大应力数值以及位置,对应力-应变关系影响较小。

基于多特征联合分析的车载点云市区道路边界线提取

车载激光扫描系统目前已应用于智慧城市建设、道路资产管理等多个方面。本文针对车载LiDAR点云数据道路边界提取问题,提出基于多特征联合且适应多类道路的边界提取方法。构建点云局部邻域高差梯度、回波梯度与曲率梯度,通过设置阈值提取道路边线。结果表明,该方法在直行道路、曲弯、直弯等代表性道路环境中均取得了较好的结果,验证了算法的鲁棒性,对扩展研究车载LiDAR在道路场景中的应用具有重要价值。

带稳定翼四斜叶-Rushton组合桨搅拌釜内传热性能

基于计算流体力学(CFD)模拟与传热实验相结合的方法,对带稳定翼四斜叶-Rushton组合桨在内加热盘管搅拌釜的传热性能进行研究,获得搅拌釜内的流场分布、温度分布、温度边界层和盘管外侧的努塞尔数。研究表明,实验与数值模拟的温度误差在4K以内。搅拌釜内高温区位于盘管处循环大涡流区,釜内最大温差保持在3K以内。稳定翼可提高流体轴向循环性能,能够使搅拌釜内温度分布更加均匀。内盘管外侧XZ平面和YZ平面的平均温度边界层厚度分别为3.01mm和2.70mm。通过实验与数值模拟方法得到不同因素对内盘管外侧努塞尔数的影响,其顺序为:搅拌介质黏度>搅拌转速>桨叶间距>离底距离,实验与模拟的努塞尔数最大误差为14.56%,最小误差为4.23%,实验结果很好地验证了数值模拟的可行性。研究结果可为带稳定翼四斜叶-Rushton组合桨应用于实际工业中提供参考。