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Refraction regularity of extraordinary ray in uniaxial crystal with arbitrarily oriented optical axis;2. In the case of optical axis of uniaxial crystal being parallel with the incident plane, the angle of refraction of extraordinary ray are calculated by using Fermat's principle.

在单轴晶体的光轴与入射面平行的情形下用费马原理计算非寻常光光线的折射角,然后就怎样定义非寻常光作些讨论,最后在单轴晶体的光轴任意取向的普遍情形下给出计算非寻常光光线折射方向的公式。

The prior cycles with higher axial stress and larger strain range greatly restrains ratchetting strain of subsequent cycling with lower ones. Creep behavior plays an important role in the ratchetting strain and its influence on ratchetting behavior can not be neglected. Fracture morphology characteristics of two kinds of materials were investigated by scanning electron microscope. It shows that failure of material A is induced by cavitation and that of material B is induced by decohesion. For material A, with the decreasing strain amplitude the fracture surface shows more larger diameter globular particles under uniaxial loading and can be seen more obvious and deep crack under multiaxial loading. However for material B, with the decreasing strain amplitude fracture surface shows larger and larger scalelike shape and becomes more smooth under uniaxial loading, but fracture surface under multiaxial loading looks like more smooth than that of uniaxial loading, and shows gradually wave-like morphology.

通过扫描电子显微镜研究表明:材料A为空穴引起的失效,材料B为剥离导致疲劳破坏;随着载荷幅值的减小,材料A在单轴载荷下,断口表面浮出更多更大直径的球状颗粒,而多轴载荷下,可以看到很深的裂纹;随着载荷幅值的减小,材料B在单轴载荷下,断口表面鱼鳞片越来越大,表面越来越平整,而多轴载荷与单轴载荷相比,断口表面看上去更加平整,并且随着载荷幅值的减小,断口逐渐呈现波浪形貌;通过微观的傅立叶变换红外光谱分析,结果表明随着应变幅值的增加,无论载荷是单轴还是多轴状态下,橡胶材料吸光度比值随着幅值的增加而增加,这说明体系中的结晶含量也随之增加。

Five novel torsion-mirror optical actuators including double-beam thickness differential structure with single torsional axis, double flexible folded-beam structure with single torsional axis, double-beam vertical torsion comb structure with single torsion axis, four-beam differential compound-micromirror structure with double torsional axis and the combined structure of the four basis forms above, are brought forward. All of these devices could be fabricated by the same silicon micromachining process we have developed. The deformation compensation design with local enhancement for the thin torsional beam which is the key structure of these devices is also put forward to improve the reliability. The three-dimension solid model and two-dimension reduced order model of the torsion-mirror optical actuator are established and then the numerical simulations for evaluating the device characteristics of the statics, dynamics, electrostatic field, mechanical and electrostatic coupling, fluid and solid coupling are carried out to optimize the structure design. Furthermore, three optical fibre clamping structures which could be integrated monolithicly are designed and analyzed to improve the optical coupling capability. 4. Three flexible process flows combined with bulk silicon micromachining and surface silicon micromachining are brought forward to fabricate these novel single-crystal silicon or polysilicon torsion-mirror optical actuators by using the same lithography masks for both SOI wafer and regular silicon wafer. A series of important process experiments are carried out to optimize the process parameters and the process flows. Some novel and typical process phenomena which occurred during the microfabrication are analyzed and then the corresponding solutions are put forward. 5. A MEMS dynamic testing system which exploit blur image synthetic technique, stroboscopic image matching technique, stroboscopic mirau microscopic interferometry technique and microscopic laser dopper vibrometer technique is set up to measure three-dimension and six-freedom micro motions of any MEMS devices with nanometer resolution.

在对硅微机械扭转镜光致动器的光机电特性系统地理论研究的基础上提出了硅微机械扭转镜光致动器的结构设计准则。3、提出了单轴双梁厚度差分结构、单轴双柔性折叠梁结构、单轴双梁垂直扭转梳齿结构、双轴四梁差动复合微镜结构以及以上四种基本结构组合后的衍生结构等五种工艺加工技术兼容的新型的硅微机械扭转镜光致动器,对器件关键结构薄厚度、高耐疲劳扭转梁进行了局部加强的变形补偿设计,建立了器件的三维实体模型以及两维降阶模型,对提出的新结构硅微机械扭转镜光致动器进行了系统的静力学、动力学、静电场、力电耦合和流体固体耦合的建模仿真与优化设计,同时设计并分析了三种可实现单芯片集成的弹性光纤定位夹紧结构。4、提出了组合体硅微加工技术与表面硅微加工技术、兼容同一套光刻版图、可分别基于SOI 晶片和普通Si 晶片、适应于制造提出的各种新结构单晶硅和多晶硅硅微机械扭转镜光致动器的三套柔性加工工艺流程,开展了一系列重要工艺步骤的单项工艺试验,对工艺流程与工艺参数进行了优化,针对加工过程中出现的具有普遍意义的典型工艺问题进行了讨论和分析,并提出了解决方法。5、创新性地将模糊图像合成技术、频闪图像匹配技术、频闪Mirau 显微干涉技术与显微激光多普勒测振技术有机结合,建立起了一套周期运动测量与瞬态运动测量相结合、单点运动测量与全视场运动测量相结合、满足不同MEMS 器件各种动态测试要求的集成的MEMS 三维六自由度微运动精密测量系统。

The findings indicate that under uniaxial compression, the red sandstones at first experience structural intensification and then structural degradation until they are failed; the unconfined compressive strength of red sandstone is mainly related with compaction rate, pore distribution and connecting condition of mineral grains; and the above factors have a more notable impact on the unconfined compressive strength of red sandstone with the increase of weathering; with the increase of load, the grains area ratio and Euler number decrease, the pore develops towards centralization or collectivization, and the red sandstones gradually lose their resistance to deformation.

研究结果表明:在单轴压缩条件下,红砂岩先结构强化,后结构劣化,直至最终破坏;红砂岩的单轴抗压强度主要与密实程度、微孔洞等缺陷的分布情况及矿物颗粒之间的联结状态有关,随着红砂岩风化程度的增强,以上各因素对其单轴抗压强度的影响将更加显著;伴随荷载的增加,红砂岩的矿物颗粒面积比例及欧拉数总体上趋于减小,孔隙向着集中化和集团化的趋势发展,红砂岩抗变形能力逐步丧失。

With a single unbranched stem terminating in a flower.

单轴的 Uniaxial 单一不分枝的茎终止于花。

Uniaxial experiments and results are no more sufficient, and two- or three-axial studies are needed.

单轴实验和单轴的结果已不够,而需要双轴和三轴的研究。

Lute 鲁特琴(中文的琵琶也译做lute:A stringed instrument having abody shaped like a pear sliced lengthwise and a neck with a frettedfingerboard that is usually bent just below the tuning pegs.

一种纵向削制的形状如梨的拨弦乐器,琴颈上有定音档的指板,通常弯曲于调音单轴之下。

Third, the stress-strain and damage parameters on multiaxial fatigue damage critical planes were analyzed. A new multiaxial fatigue damage parameter was presented. This parameter can not only describe multiaxial proportional and nonproportional loading, but also uniaxial loading.

第三,对多轴疲劳损伤临界面上的应力应变及损伤参量进行了分析,在此基础上提出了一种新的多轴疲劳损伤控制参量,该参量不仅能够描述多轴比例与非比例加载下的疲劳损伤,而且可以退化成单轴的形式。

The microfracturing process of Jinping marble specimen in Sichuan province under uniaxial compression is recorded by using the testing scheme. Quantitatively investigated the propagation and coalescent of cracks at meso-scale with digital technology, the basic geometric information of rock microcracks such as area, angle, length, width, perimeter, are obtained from binary images after segmentation. The failure mechanism of specimen under uniaxial compression with the quantitative information is studied from macro/micro scopic perspective. The result shows that during the damage of the specimen the distribution of microcracks in the whole specimen are still subjected to exponential distribution with some microcracks concentrated in certain regions.

应用于四川锦屏大理岩预制裂纹试样中进行单轴压缩破坏全程的数字化试验,对微裂纹的萌生、生长及贯通过程进行数字化定量分析,得到试样在受荷过程中微裂纹的面积、方位角、长度、宽度和周长基本几何数据,从宏细观角度描述了岩石试样单轴压缩过程中的破坏机制,并分析得出试样单轴受压破坏过程中虽然微裂纹在某些区域集中,但在整个试样中微裂纹的统计分布依然是服从某一指数分布的这一结论。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上,利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系,我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性,首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式,进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性,得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

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