基于椭圆型方程的扭叶片造型方法的研究

本文以偏微分方程造型为基础,提出了一种基于椭圆型方程的扭叶片三维型面直接设计方法,详细推导了叶型曲面函数,给出了型面方程的求解及其前后缘修正。该方法具有设计叶型曲面自然光顺,设计参数少且各参数具有明显的几何意义,叶型曲面调整方便,利于采用非数值优化算法对其进行气动优化等优点。文中给出了设计实例,并通过数值实验分析了所设计叶片型面的流动特性。分析结果表明设计叶片具有良好的气动性能,同时也证明了本文提出的基于椭圆型方程的扭叶片三维型面设计方法的可靠性和实用性。     

On the application of slip boundary condition on curved boundaries

Hydrodynamic simulations of sloshing phenomena often involve the application of slip boundary condition at the wetted surfaces. If these surfaces are curved, the ambiguous nature of the normal vector in the discretized problem can interfere with the application of such a boundary condition. Even the use of consistent normal vectors, preferred from the point of view of conservation, does not assure good approximation of the continuum slip condition in the discrete problem, and non‐physical recirculating flow fields may be observed. As a remedy, we consider the Navier slip condition, and more successfully, the so‐called BC‐free boundary condition. Copyright © 2004 John Wiley & Sons, Ltd.     

Natural vibrations of a strip made of a composite material with a locally curved structure

The possibility of using the finite-element method for investigating two-dimensional problems on natural vibrations in the mechanics of composite materials with curved structures is considered. With the example of a hinge-supported strip made of a composite material with a locally curved structure, the influence of geometrical and mechanical parameters of the strip on its eigenfrequencies is examined. It is established that the presence of local curving in the structure of strip material decreases the magnitude of eigenfrequencies.Translated from Mekhanika Kompozitnykh Materialov, Vol. 41, No. 1, pp. 71–78, January–February, 2005.     

用于曲面精密检测的新型光纤三角传感器研究

基于光纤传感技术和三角测量方法，提出了一种用于曲面检测的新型光纤三角传感器。根据所设计的轮辐式接收光纤结构，可以在测量曲面与传感头间位移时，首先获取被测点处微面元的倾斜信息，以便对传感器测量值进行实时误差修正，从而解决了被测表面倾斜对坐标测量带来的影响。该传感器还能有效地消除环境光干扰、光源波动、表面反射率变化等对测量带来的影响。建立了传感器测量的数学模型。理论分析和初步的实验结果证明了系统的有效性和实用性。该传感器系统不稳定性好于0.3%，横向分辨率好于8μm，高度分辨率好于0.1μm。     

Asymptotic analysis of elastic curved rods

We consider a sequence of curved rods which consist of isotropic material and which are clamped on the lower base or on both bases. We study the asymptotic behaviour of the stress tensor and displacement under the assumptions of linearized elasticity when the cross‐sectional diameter of the rods tends to zero and the body force is given in the particular form. The analysis covers the case of a non‐smooth limit line of centroids. We show how the body force and the choice of the approximating curved rods can affect the strong convergence and the limit form of the stress tensor for the curved rods clamped on both bases. Copyright © 2006 John Wiley & Sons, Ltd.     

拉普拉斯变换的图形分析

以单边指数函数为例，分析了拉普拉斯变换象函数F(s)在其收敛域内随σ和ω的变化规律，通过|F(s)|曲面图来观察这些规律，并解释了图中某些特定点及剖面的含义，以形象化的方式加深对拉普拉斯变换的认识。借助MATLAB的绘图功能绘制出F(s)的曲面图、剖面图及信号的频谱图，从中可以观察到频域与复频域的关系以及系统函数的零极点分布等。     

Stress Distribution in an Elastic Body with a Periodically Curved Row of Fibers

Within the framework of a piecewise homogeneous body model, with the use of exact three-dimensional equations of elasticity theory for anisotropic bodies, a method is developed for investigating the stress distribution in an infinite elastic matrix containing a periodically curved row of cophasal fibers. It is assumed that fiber materials are the same and fiber midlines lie in the same plane. The self-balanced stresses arising in the interphase in uniaxial loading the composite along the fibers are investigated. The influences of problem parameters on these stresses are analyzed. The corresponding numerical results are presented.     

曲边区域上的多边形网格间断有限元离散及其多重网格算法

本文利用多边形网格上的间断有限元方法离散二阶椭圆方程,在曲边区域上,采用多条直短边逼近曲边的以直代曲的策略,实现了高阶元在能量范数下的最优收敛.本文还将这一方法用于带曲边界面问题的求解,同样得到高阶元的最优收敛.此外我们还设计并分析了这一方法的\linebreakW-cycle和Variable V-cycle多重网格预条件方法,证明当光滑次数足够多时,多重网格预条件算法一致收敛.最后给出了数值算例,证实该算法的可行性并验证了理论分析的结果.     

970 nm超辐射发光二极管弯曲脊形波导数值分析

本文基于光束传播法(beam propagation method, BPM)和时域有限差分法(finite difference time domain method, FDTD)建立了分析模型,模拟并分析了弯曲脊形波导超辐射发光二极管(superluminescent light emitting diode, SLD)不同结构参数(刻蚀深度、曲率半径、脊形宽度)对波导损耗的影响和倾斜脊形波导不同结构参数(刻蚀深度、脊形宽度、倾斜角度、发射波长)对模式反射率的影响。计算表明,弯曲脊形波导的刻蚀深度和曲率半径是影响波导损耗的重要因素。刻蚀深度较浅使波导对光场的限制作用较弱,过小的曲率半径会使模式传输泄露严重,损耗大大增加。脊形宽度越大,波导损耗越小,其对波导损耗影响较小。脊形波导的端面倾斜角度是抑制模式反射率的重要因素,脊形宽度增加,模式反射率逐渐减小,并在特定的几个角度形成的奇点达到最小值。刻蚀深度对于模式反射率的影响作用较小,但随着刻蚀深度的增加,奇点发生的角度产生了向小角度偏移。在特定的倾斜角度范围内,随着波长减小,奇点的数目会逐渐增加。研究结果可对设计具有优越性能的SLD器件...     

一种低频段小型化带通频率选择表面天线罩设计

具有陡峭截止性能的带通型频率选择表面(Frequency Selective Surface,FSS)在低频段天线设计中有重要应用需求,而传统带通型FSS设计在低频段存在单元尺寸过大和散射栅瓣等问题。为此,提出了一种低频段小型化的带通型FSS天线罩。该结构通过多层非谐振型FSS级联而成,并采用介质加载和FSS单元交叉曲折等小型化设计技术,使其具有S频段二阶带通空间滤波特性,相对带宽达到25%。同时,FSS单元尺寸减小至1/16λ0（λ0为中心工作波长）,天线罩电厚度约为1/20λ0 。基于带通FSS的等效电路模型,给出了详细的FSS单元小型化设计过程,完成了该S频段小型化二阶带通型FSS天线罩实物样件加工和传输特性测试工作,测试结果与全波仿真结果吻合较好。