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Firstly part of quadratic term of Taylor series is chosen; a low-dimension surface is used to approximate limit state surface ; and the modified reliability formula is derived.

首次选取泰勒级数的部分二次项,用一个距原点最近点处拟合的超低维曲面近似极限状态面。

The relationship between transient response and shape design variables is highly non-linear, and the behavior of feasible domains is often not good, which may cause convergence difficulties. In order to improve convergence speed of iteration process, some algorithms the feasible domains adjusting, the adaptive move limit, the approximate line search and the approximate reanalysis, are adopted.

采用基于Newmark积分的直接求导法计算瞬态响应灵敏度,在序列二次规划算法中采用了可行域调整、近似—维搜索、自适应运动极限等改进技术,提高求解效率和收敛稳定性,以解决结构动态响应与设计变量的关系复杂、高度非线性,优化可行区域的性态不良等问题。

By virtue of method of continuum approximate limit, we obtained the solitons of the vibration of lattice in one-dimensional harmonic and inharmonic chains of polarized molecule, under the conditions considering and inconsidering the interaction of exciton with phonon, through solving moving equations of exciton and phonon.

运用连续极限近似方法,通过求解声子和激子的运动方程,得到了在不考虑激子与声子的相互作用和考虑激子与声子相互作用两种情况下的极性分子简谐链和非简谐链中晶格振动的孤子解,并得出了激子与声子的相互作用的非线性效应类似于晶格三次势的非线性效应,以及相同的非线性效应不论是同时作用还是单独作用都具有相同的非线性效应的结论。

On the basis of the existing experiment condition and sample data analysis, the result shows that the air velocity doesn't have significance influence on human blood pressure, electroencephalogram and somatosensory evoked potential, etc, that it has extraordinary significance influence to nreve conduction velocity and body temperature , that it has influence on pulse and electrocardiogram, but not remarkable. The influence of the air velocity on thermal comfort is obvious, the people in Chongqing are more forbearing to the draught than other areas because of its mugginess and aquosity.

研究结果显示,在现有的实验条件及样本数据分析的基础上,没有发现室内空气流速对人体血压、脑电图、上肢体感等有显著性影响;室内空气流速对人体体温、人体神经传导速度等有非常显著性影响;对脉搏和心电图略有影响,但不显著;室内风速对于人体热舒适的影响是显而易见的,重庆地区居民对于风速的忍受极限因为其气候的闷热与潮湿而高于其他地区。

In the first part presented in Chapter 3, the previous work on the SKAWs in two limit case of 1≥β≥me/mi and β≤me/mi≤1 was generalized to the case of an arbitraryβ value where β is the ratio of thermal pressure to magnetic pressure, me(I is the electron mass, and it was showed that the SKAW accompanied by both dip and hump density solitons are possible.

这第一部分中,首先将前人关于这两个极限情行下(即1≥β≥me/mi和β≤me/mi≤1)的SKAW的工作推广到更一般的参数范围,给出了SKAW存在的一般判据,并证明在β~me/mi的情行下,伴随有稀疏和压缩密度孤子SKAW都是可能的。

A quantity that has a limit or boundary.The limit of this ratio as the length of the arc approaches zero.

微积分学数学的一个分支,处理单变量或多变量函数的极限、微分以及积分问题

The mathematical model was verified in experiment with the method of indirect squeeze cast Archimedean spiral proof sample. And the experimental results show that the maximum deviation between the theoretical value and measured value is less than 8%. This model can be used for quantitative analysis and estimating effects of the craft factors on the filling ability, and can also predict the maximum filling length. It has the important reference value to design the semi-solid alloy rheoforming technology and mould.

采用间接挤压铸造阿基米德螺旋线试样的方法对该数学模型进行了实验验证,实验结果表明:理论计算值与实验测定值之间的最大偏差小于8%;该数学模型可以定量分析和估算工艺因素对充型能力的影响,并可预测充型极限长度,这对半固态合金流变成形工艺设计和模具设计都有参考价值。

Based on the analysis of mechanism for joint region, the "frame-wall" and "aslope compression stub column" mechanical models and yielding patterns of core zone of the joints are set up. The shear load-carrying formulation for joint core zone is also given in terms of plastic ultimate analysis. And then, the comparisons between the formulas given in this paper and that of Chinese Design Code and nonlinear FEM as well are presented.

对节点核心区的抗剪,通过受力机理的分析,建立了钢"框架剪力墙"加混凝土斜压短受力体系及其屈服机制,根据塑性极限分析,给出了节点核心区抗剪承载力计算的迭加公式,《规程》公式和非线性有限元近似模拟分析结果进行了比较。

A new method on seeking asymptote is given by applying the relation between secant and asymptote, this method is helpful to train creativity of students.

摘要利用曲线割线的极限得到曲线的渐近线,给出了求渐近线的一种新方法。这种方法直观性强,有助于培养学生的创新能力。

The experimental results illustrate that at 10 6---10 7 cycles regime, there is no horizontal asymptote in fatigue S--N curves for smooth specimens, so the conventional fatigue limit disappears.

结果表明,它们的光滑疲劳试样S--N曲线在10 6---10 7周期范围内无平台出现,疲劳极限消失。

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Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

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