查询词典 calculus of finite differences

Firstly, the paper introduced the working principle and device of the two-pass grate-rotary kiln and had an analysis method of mechanics of the tyre. We have put forward the finite element analysis of the contact stress of the tyre-roller based on the whole construction mode of shell-kiln liner-large gear-tyre-roller of the rotary kiln and obtained the strength and distributing rule of the tyre's contact stress. The research shows that within one week the contact stress mainly lies in two leading peak value and catastrophe which appear at the contact zone of the tyre and supporting roller. Then we regarded the tyre's stress as the test of unknown plane stress of principal stress. Utilizing mature and modern testing technology, we raised the testing principle and scheme of tyre stress and then had a on-the-spot test of the stress. Comparing the analysis result of the test with the one calculated from the finite element analysis, it proofed the rationality of finite element analysis method of integral modeling and the correctness of the contact stress result of the tyre and roller. Finally, for two-pass of similar rotary kilns, using the ANSYS APDL re-development technology, carried on the re-development about the overall finite element analytic method of thecontact stress of tyre-roller.

首先，本文介绍了2档回转窑的工作原理和装置，对滚圈的力学行为进行了分析，提出了基于筒体-滚圈-托轮的回转窑整体建模的有限元分析法，来对滚圈-托轮的接触应力进行有限元分析与计算，得到了滚圈接触应力的大小和分布规律，并求得滚圈外中内圈节点的主应力；其次，把滚圈的受力看成是主应力未知的平面应力的测试，利用现代测试技术，提出了滚圈主应力测试的原理和方案，并对滚圈的主应力进行了现场测试，现场测试分析结果与有限元分析计算出的主应力相比较，证明了整体法建模的有限元分析方法的合理性和滚圈-托轮接触应力结果的正确性；最后，利用ANSYS的APDL的二次开发技术，针对2档同类回转窑，就滚圈-托轮接触应力的整体有限元分析法进行了二次开发。

For some rock slopes, which have not distinct failure surface, but have complicated structure or load on the top and so on, a stability analysis of this type slopes by finite element method is presented, the failure surface is defined by certain rule or strain zone from the computed model, and then the safety factor of the rock slope is abtained by finite element method and limit equilibrium methodAt last, using ANSYS , a famous commercial finite element analysis software, a example of high-steep slope which is bearing the load of the LongGe Mansion is presented, the stability of this slope is studied, as a paradign the the stability evalution of complicated high-steep slope under the action of load of building , the chapter gives some meritable reference in stability assessment of rock slopes using numerical simulation by three-dimension elastic-plastic finite element.

并用有限单元法建立边坡的具体模型，应用折减边坡岩体参数、逐级施加荷载等与边坡工作环境相似的方法进行模拟计算，根据计算结果，采用一定的判别准则或图形可视化方法，确定出边坡的滑裂面，再采用刚体极限平衡法或有限单元法计算其安全系数；最后，通过某一工程实例，用大型有限元程序对边坡在建筑物荷载作用下的稳定性进行分析研究，并以此作为计算分析复杂高边坡在高层建筑物作用下的稳定性评价的一个范例，在采用有限元弹塑性数值模拟岩质边坡稳定性方面提供一些有价值的参考。

On this basis,thelocally finite tree set is defined,and the locally finite tree martingales are defined interms of the locally finite tree set,and then a tree martingale decomposition theoremis obtained by the locally finite tree martingales.

在这个结果的基础上，我们定义了局部有限树集的概念，利用这个概念又定义了局部有限树鞅，通过局部有限树鞅给出了树鞅分解定理。

On this basis,thelocally finite tree set is defined,and the locally finite tree martingales are defined interms of the locally finite tree set,and then a tree martingale decomposition theoremis obtained by the locally finite tree martingales.

基于这个分解，证明了树鞅指标集同构于一个有向森林，这个森林中的每一棵树都是有向局部有限树，这就证明了树鞅指标集有一个分解，它的每一部分同构于一个有向无限、局部有限树。

Therefore, it promotes this comparative study rather instructively. This paper adopts the comparative method and studies the syntactic and semantic similarities and differences of passive voices among English, French and Chinese on the basis of the theory of Chomsky "principle parameters". This paper also analyzes the profound reason for the differences: cultural differences and finds that it is just the historical and cultural element that make the external differences into being.

本文运用对比分析的方法，以乔姆斯基原则与参数理论为基础，从句法上和语义上比较分析了英语、法语和汉语的被动语态的异同，并从历史文化上分析了这些异同产生的原因，通过分析研究得知，英语、法语和汉语的被动语态不仅在句法和语义上有许多差异，而且这些差异的存在是由于深层的历史、政治和文化上的原因所造成的。

The comparisons of biochemistry between OP and OR rats The differences between OP and OR rats included not only body weight, but lipids metabolism and insulin sensitivity as well, characterized with insulin resistance, increasing in serum free fatty acids and ketone body, and hepatic TC and TG in OP rats. However, no significant differences were observed in serum TG, TC, LDL, HDL and fasting glucose between OP and OR rats.⑶Comparisons of metabolites in serum, urine and liver tissue between OP and OR rats①There were significant differences in amino acids concentration between OP and OR rats,especially in liver tissue, such as high concentrations in ketogenic and glucogenic amino acids in OP rats, suggesting differences in amino acids metabolism;② The different metabolites between OP and OR rats included increasing of various saturated fatty acids and decreasing of polyunsaturated fatty acids in OP rats;③The urinary metabolites analysis indicated that different structure or metabolism of gut microflora might exist between the two phenotypes, which probably influenced the regulation of body weight gain;④The end-products of catecholamines in urine and intermediates of krebs cycle in serum in OP rats were all up-regulated, suggesting that the activity of sympatheic nervous system and energy metabolism was higher in OP rats than OR rats.

胰岛素耐受实验和胰岛素敏感指数表明OP动物的胰岛素敏感性较OR动物下降，而OP大鼠血清中游离脂肪酸、酮体、肝脏总胆固醇和甘油三酯水平显著升高；但是，OP与OR大鼠血清中总胆固醇、甘油三酯、低密度脂蛋白、高密度脂蛋白和空腹血糖等的水平并无显著性差异；⑶肥胖易感与肥胖抵抗大鼠血清、尿液和肝脏组织提取物中代谢物的比较研究表明：①OP与OR大鼠的血清、尿液和肝组织提取物中多种氨基酸的含量存在显著差异，并以肝组织中的差异氨基酸数量为最多，包括各种生酮和生糖氨基酸水平在OP组的升高，说明氨基酸代谢的差异是两种体重表型大鼠之间存在的重要差异特征之一；②OP与OR动物肝脏和血清差异代谢物中包含多种饱和长链脂肪酸的升高如十四烷酸、十六烷酸、硬脂酸等和多不饱和脂肪酸的下降如亚油酸和花生四烯酸，说明两种体重表型动物的肝脏脂肪酸代谢存在明显差异；③长期高脂饮食喂养后，动物的尿液代谢物分析表明OP与OR动物体内的肠道菌群结构存在差异，这些菌群上的差别可能在动物体重增长的调节上产生影响；④与OR动物相比，OP动物尿液代谢物中儿茶酚胺类递质的代谢终产物如高香草酸、扁桃酸和4-羟基苯乙酸明显升高。

There were very significant differences about the values of MP, MPF and AEMG among the motion muscles, but there was no significant difference about the singals of MF slope, MPF slope and AEMG slope. In patients group there were significant differences about the values of MF, AEMG, AEMG slope of motion limb between paretic side and non-paretic side. There were also significant differences about the values of MPF slope between paretic side of the patients and left side of the health. But there was no significant difference about other parameters in groups or among groups. Compared the activity muscles of four groups, there were significant difference about the values of AEMG and MPF among initiative muscles, antagonistic muscles and co-contraction muscles. There were very significant differences about the values of MF and MPF among co-contraction muscles, but there was no significant difference between initiative muscle and antagonistic muscle.

结果：两组各活动肢体间比较除AEMG斜率均值外MF、MPFAEMG及MF斜率及MPF斜率均值差异无显著性意义；各活动肌肉间比较MF、MPF、AEMG均值差异有显著性意义，而MF斜率、MPF斜率及AEMG斜率均值无显著性差异；活动肢体因素四个水平间比较除偏瘫组患侧与健侧之间的MF和AEMG、AEMG斜率均值和偏瘫组患侧与正常组左侧的MPF斜率均值有显著性差异外，其余参数在偏瘫组与正常组组内、组间的差异无显著性差异；活动肌肉因素4组肌肉间对比：主动肌与拮抗肌以及协同肌AEMG、MPF差异有显著性，协同肌之间MF、MPF差异有非常显著性，拮抗肌与协同肌差异无显著性。

There were significant differences (P＜0.05) between cock's and hen's body length, chest bone length, thurl width, shank circumference in some Chinese indigenous chicken breeds. There were significant differences (P＜0.05) between cock's and hen's shank length among 12 Chinese indigenous chicken breeds. The differences showed that some genes controlled sex may be responsible for the differences of sexuality, on the other hand, they affected cock's and hen's body measurements and body weight, that is one gene has multiple effects.

大部分地方鸡品种12周龄公、母鸡在体斜长、龙骨长、骨盆宽、胫围和体重之间存在显著的差异（P＜0.05），12个地方鸡品种内12周龄公、母鸡胫长之间均存在显著差异（P＜0.05），这些结果说明了控制公、母鸡性征的一些基因，一方面使公、母鸡在性征的表现上存在差异，另一方面这些基因也对公、母鸡的体尺和体重等性状起着一定的作用，即表现为一因多效的作用。

The results were as follows:The first, there were significantly differences percent between 0.6μg/mlgroups and other three groups (0.2μg/ml groups, 0.4μg/ml groups and 0.8μg/mlgroups) in 2 hour groups; and there were significantly differences between0.4μg/ml groups and other three groups in 4 hour groups; and there weresignificantly differences between 0.6μg/ml groups and other three groups in 6hour groups; and there were significantly differences between 0.4μg/ml groupsand other three groups in 8 hour groups on the metaphases (P＜0.05), in theexperiment of the effect on the mouse 4- cell embryo stage single blastomere ofcolchicine with different concentrations and duration, by x~2 statistical analysis.

实验结果如下：1、在确定秋水仙素不同处理浓度和时间对小鼠4-细胞期胚胎单卵裂球中期分裂相数影响的实验中，经统计分析，阻断培养2小时组中0.6μg／ml浓度组与其他三组差异显著(0.2μg／ml组、0.4μg／ml组和0.8μg／ml组)；阻断培养4小时组中0.4μg／ml浓度组与其他三组差异显著；阻断培养6小时组中0.6μg／ml浓度组与其他三组差异显著；阻断培养8小时组中0.4μg／ml浓度组与其他三组差异显著(P＜0.05)。

It is different from the finite element method which uses the calculus of variation to construct the element-based approximate equilibrium equation. It does consider the equilibriums of forces on the inter-element boundary, which are neglected in the finite element method through the weak formulation.

这种方法跟有限元素法不同，因为有限元素法是采用变分法建立各个元素的近似平衡方程式，这种方法也考虑元素与元素相连接的边界上的力平衡条件，而在有限元素法的推导过程中我们忽略了这种条件。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。