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A new bionic MAV's flapping motion based on fruit fly hovering at low Reynolds number 被引量:1
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作者 Peng Bai Erjie Cui Feng Li Weijiang Zhou Bingyan Chen 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2007年第5期485-493,共9页
On the basis of the studies on the high unsteady aerodynamic mechanisms of the fruit fly hovering the aerodynamic advantages and disadvantages of the fruit fly flapping motion were analyzed. A new bionic flapping moti... On the basis of the studies on the high unsteady aerodynamic mechanisms of the fruit fly hovering the aerodynamic advantages and disadvantages of the fruit fly flapping motion were analyzed. A new bionic flapping motion was proposed to weaken the disadvantages and maintain the advantages, it may be used in the designing and manufacturing of the micro air vehicles (MAV's). The translation of the new bionic flapping motion is the same as that of fruit fly flapping motion. However, the rotation of the new bionic flapping motion is different. It is not a pitching-up rotation as the fruit fly flapping motion, but a pitching-down rota- tion at the beginning and the end of a stroke. The numerical method of 3rd-order Roe scheme developed by Rogers was used to study these questions. The correctness of the numerical method and the computational program was justified by comparing the present CFD results of the fruit fly flapping motion in three modes, i.e., the advanced mode, the symmetrical mode and the delayed mode, with Dickinson's experimental results. They agreed with each other very well. Subsequently, the aerodynamic characteristics of the new bionic flapping motion in three modes were also numerically simulated, and were compared with those of the fruit fly flap- ping. The conclusions could be drawn that the high unsteady lift mechanism of the fruit fly hovering is also effectively utilized by this new bionic flapping. Compared with the fruit fly flapping, the unsteady drag of the new flapping decreases very much and the ratio of lift to drag increases greatly. And the great discrepancies among the mean lifts of three flapping modes of the fruit fly hovering are effectively smoothed in the new flapping. On the other hand, this new bionic flapping motion should be realized more easily. Finally, it must be pointed out that the above conclusions were just drawn for the hovering flapping motion. And the aerodynamic characteristics of the new bionic flapping motion in forward flight are going to be studied in the next step. 展开更多
关键词 Flapping wing Low Reynolds number.MAV's UNsTEADY Numerical simulation
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Products of Odd Numbers or Prime Number Can Generate the Three Members’ Families of Fermat Last Theorem and the Theorem Is Valid for Summation of Squares of More Than Two Natural Numbers
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作者 Susmita Pramanik Deepak Kumar Das Panchanan Pramanik 《Advances in Pure Mathematics》 2023年第10期635-641,共7页
Fermat’s last theorem, had the statement that there are no natural numbers A, B, and C such that A<sup>n</sup> + B<sup>n</sup> = C<sup>n</sup>, in which n is a natural number great... Fermat’s last theorem, had the statement that there are no natural numbers A, B, and C such that A<sup>n</sup> + B<sup>n</sup> = C<sup>n</sup>, in which n is a natural number greater than 2. We have shown that any product of two odd numbers can generate Fermat or Pythagoras triple (A, B, C) following n = 2 and also it is applicable A<sup>2</sup> + B<sup>2</sup> + C<sup>2</sup> + D<sup>2</sup> + so on =A<sub>n</sub><sup>2 </sup>where all are natural numbers. 展开更多
关键词 Fermat Last Theorem Generation of Fermat’s numbers Extension of Fermat’s Expression Fermat’s Expression from Products of Odd numbers
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Reciprocity Relation between Alternative Gravity Formulas
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作者 Hans Hermann Otto 《Journal of Applied Mathematics and Physics》 2024年第4期1432-1440,共9页
We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists betw... We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter. 展开更多
关键词 Gravity Formulas Reciprocity Distance Relation NEWTON EINsTEIN Bhandari Higgs Field Dirac’s Large number
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雷诺数和侧风对S型垂直轴风力机气动特性的影响
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作者 朱洋 左行 +1 位作者 朱建勇 赵秀勇 《风机技术》 2024年第1期69-76,共8页
相较于工作在郊外良好风场的大型风力机,小型风力机易受城市风环境如低风速、高湍流度以及时变风速风向的影响。采用数值模拟手段研究了雷诺数和来流倾角对小型S型垂直轴风力机气动性能的影响。研究结果表明:S型风力机的气动性能对雷诺... 相较于工作在郊外良好风场的大型风力机,小型风力机易受城市风环境如低风速、高湍流度以及时变风速风向的影响。采用数值模拟手段研究了雷诺数和来流倾角对小型S型垂直轴风力机气动性能的影响。研究结果表明:S型风力机的气动性能对雷诺数不敏感,功率系数几乎不随雷诺数变化;侧风导致S型风力机的气动性能变差,静扭矩系数和功率系数降低,并且随着侧风来流倾角的增大,气动性能越差,侧风影响的流动机理一方面是来流倾角降低了水平速度分量,另一个方面是竖直速度分量减小了前进叶片的压力差,增加回转叶片的压力差,进一步加剧了气动性能的恶化。 展开更多
关键词 风能 s型垂直轴风力机 雷诺数 来流倾角 数值模拟
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Unity Formulas for the Coupling Constants and the Dimensionless Physical Constants
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作者 Stergios Pellis 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2023年第1期245-294,共50页
In this paper in an elegant way will be presented the unity formulas for the coupling constants and the dimensionless physical constants. We reached the conclusion of the simple unification of the fundamental interact... In this paper in an elegant way will be presented the unity formulas for the coupling constants and the dimensionless physical constants. We reached the conclusion of the simple unification of the fundamental interactions. We will find the formulas for the Gravitational constant. It will be presented that the gravitational fine-structure constant is a simple analogy between atomic physics and cosmology. We will find the expression that connects the gravitational fine-structure constant with the four coupling constants. Perhaps the gravitational fine-structure constant is the coupling constant for the fifth force. Also will be presented the simple unification of atomic physics and cosmology. We will find the formulas for the cosmological constant and we will propose a possible solution for the cosmological parameters. Perhaps the shape of the universe is Poincare dodecahedral space. This article will be followed by the energy wave theory and the fractal space-time theory. 展开更多
关键词 Fine-structure Constant Proton To Electron Mass Ratio Dimensionless Physical Constants Coupling Constant Gravitational Constant Avogadro’s number Fundamental Interactions Gravitational Fine-structure Constant Cosmological Constant
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Strong Law of Large Numbers and Complete Convergence for Sequences of -Mixing Random Variables 被引量:3
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作者 GAN Shixin CHEN Pingyan QIU Dehua 《Wuhan University Journal of Natural Sciences》 CAS 2007年第2期211-217,共7页
We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann's strong law of large numbers and Teicher's strong law of large nnum... We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann's strong law of large numbers and Teicher's strong law of large nnumbers for independent random variables are generalized to the case of φ -minxing random variables. 展开更多
关键词 strong law of large numbers complete convergence φ-mixing random variable sequence Wittmann's strong law oflarge numbers Teicher's strong law of large numbers
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S Zorb装置生产国Ⅵ(B)汽油措施及建议 被引量:2
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作者 包江滔 《化工设计通讯》 CAS 2023年第5期7-8,50,共3页
为应对汽油产品质量升级挑战,中石化某公司在2022年8月组织开展国Ⅵ(B)汽油试生产,通过对影响S Zorb装置产品汽油烯烃含量的各个因素进行分析,分别讨论了原料汽油烯烃含量、反应氢分压、反应温度、质量空速、吸附剂活性等关键参数调整对... 为应对汽油产品质量升级挑战,中石化某公司在2022年8月组织开展国Ⅵ(B)汽油试生产,通过对影响S Zorb装置产品汽油烯烃含量的各个因素进行分析,分别讨论了原料汽油烯烃含量、反应氢分压、反应温度、质量空速、吸附剂活性等关键参数调整对S Zorb装置产品汽油烯烃含量的具体影响,提出了具体生产优化建议,以实现对产品汽油烯烃含量的灵活调控,满足国Ⅵ(B)汽油标准对烯烃含量的要求。 展开更多
关键词 国Ⅵ(B)汽油 烯烃 s Zorb 辛烷值 吸附剂
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Biased Random Number Generator Based on Bell's Theorem
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作者 谭勇刚 胡要花 杨海峰 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第3期5-8,共4页
We propose a biased random number generation protocol whose randomness is based on the violation of the Clauser Home inequality. Non-maximally entangled state is used to maximize the Bell violation. Due to the rotatio... We propose a biased random number generation protocol whose randomness is based on the violation of the Clauser Home inequality. Non-maximally entangled state is used to maximize the Bell violation. Due to the rotational asymmetry of the quantum state, the ratio of Os to ls varies with the measurement bases. The experimental partners can then use their measurement outcomes to generate the biased random bit string. The bias of their bit string can be adjusted by altering their choices of measurement bases. When this protocol is implemented in a device-independent way, we show that the bias of the bit string can still be ensured under the collective attack. 展开更多
关键词 BELL in TEsT IT In Biased Random number Generator Based on Bell’s Theorem of Is that on
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《What’s Your Number?》教学设计
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作者 信宇 《黑龙江教育(小学版)》 2005年第10期26-27,共2页
关键词 综合语言运用能力 教学设计 s Your number 语言实践 学习兴趣 语言技能
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Circle of Willis atherosclerosis, Alzheimer's disease and the Dean number
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作者 Rovshan M Ismailov 《World Journal of Cardiology》 CAS 2013年第10期394-396,共3页
The important role of atherosclerosis in pathophysiology of Alzheimer's Disease has become evident.Mechanisms such as hyperlipidemia,inflammation,abdominal obesity and insulin resistance are important yet they may... The important role of atherosclerosis in pathophysiology of Alzheimer's Disease has become evident.Mechanisms such as hyperlipidemia,inflammation,abdominal obesity and insulin resistance are important yet they may not fully explain the specific involvement of the Circle of Willis in these pathologies.The Circle of Wills is a complex geometrical structure which has several areas with different curvature as well as various branching angles of vessels composing the circle.The hemodynamics in this region should take into account the Dean number which indicates the influence of curvature on the resistance to blood flow.Thus,areas with various curvature and angles may have different hemodynamics and there are certain areas in the Circle of Willis that are more likely to develop atherosclerotic changes.Therefore,this could suggest the novel pathophysiological pathway resulting from the geometric peculiarities of the Circle of Willis.One of the directions of future research is to examine whether specific areas of the Circle of Willis are more likely to develop atherosclerotic changes compared to other ones.Selective areas of the Circle of Willis affected by atherosclerotic changes could indicate the primary role of atherosclerosis promoting Alzheimer's disease although other pathophysiological mechanisms suggesting the opposite direction should be also examined in prospective studies. 展开更多
关键词 Circle of WILLIs Alzheimer’s DIsEAsE ATHEROsCLEROsIs MECHANIsM The Dean number
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S-57标准电子航海图比例尺向S-101标准转换研究
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作者 李庆伟 李春菊 高王军 《海洋测绘》 CSCD 北大核心 2023年第3期73-77,共5页
针对S-101标准电子航海图数据即将正式发布提供用户使用,新的标准对电子航海图显示比例尺进行了强制要求,而我国生产的S-57标准电子航海图比例尺与之相差较大的问题,通过对比分析我国S-57标准电子航海图比例尺采用情况和S-101标准对电... 针对S-101标准电子航海图数据即将正式发布提供用户使用,新的标准对电子航海图显示比例尺进行了强制要求,而我国生产的S-57标准电子航海图比例尺与之相差较大的问题,通过对比分析我国S-57标准电子航海图比例尺采用情况和S-101标准对电子航海图比例尺的强制要求,研究提出了我国S-57标准电子航海图比例尺向S-101标准电子航海图规定比例尺转换的方案,可确保转换后海图上重要要素的密度指标和精度指标能够符合国家强制标准《中国航海图编绘规范》的要求,为解决我国电子航海图由S-57标准向S-101标准转换时的比例尺对应问题提供了一种可行的途径。 展开更多
关键词 电子航海图比例尺 显示比例尺 比例尺转换 s-57标准 s-101标准
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基于T-S模糊故障树模型的场面监视雷达磁控管的故障推理研究
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作者 吴玮懿 谢连军 高丙朋 《现代电子技术》 2023年第1期36-42,共7页
针对机场监视雷达磁控管运行时间短、实时运行数据难以大量获得的特点,为了实现雷达收发系统磁控管的快速故障推理分析,提出一种基于T-S模糊故障树模型的故障推理方法。利用该方法能够定性分析与定量计算的突出特点,采用新疆某机场场面... 针对机场监视雷达磁控管运行时间短、实时运行数据难以大量获得的特点,为了实现雷达收发系统磁控管的快速故障推理分析,提出一种基于T-S模糊故障树模型的故障推理方法。利用该方法能够定性分析与定量计算的突出特点,采用新疆某机场场面监视雷达磁控管作为研究对象,对磁控管的故障事件及其可能造成故障的各个故障事件用相应的事件代码表示,并通过模糊数语言集描述这些事件,再根据事件关系所构建的T-S模糊故障树故障推理模型进行推理分析,最后通过实验结果验证该方法的可靠性和有效性。与传统的人工故障排查方法相比,其能够对磁控管故障事件进行更加全面且高效的推理分析。该方法为磁控管的故障推理分析在工程上的实践应用提供了新思路。 展开更多
关键词 场面监视雷达 磁控管 故障推理 模糊数语言集 T-s模糊故障树 故障排查
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端烯烃在S Zorb吸附脱硫过程中的反应转化 被引量:1
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作者 王文寿 《石油炼制与化工》 CAS CSCD 北大核心 2023年第5期57-64,共8页
在小型固定床反应器上,以添加1-己烯(质量分数为10%)的催化裂化汽油为原料,研究了S Zorb吸附脱硫过程中直链端烯烃的反应情况。结果表明:直链端烯烃在吸附脱硫过程中可以发生饱和、双键异构等反应,反应温度、氢油比、反应压力及空速等... 在小型固定床反应器上,以添加1-己烯(质量分数为10%)的催化裂化汽油为原料,研究了S Zorb吸附脱硫过程中直链端烯烃的反应情况。结果表明:直链端烯烃在吸附脱硫过程中可以发生饱和、双键异构等反应,反应温度、氢油比、反应压力及空速等参数对1-己烯的转化、饱和以及双键异构化反应有着明显影响。高的反应温度、低的反应压力和氢油比促进端烯烃向内烯烃的双键异构化反应,如1-己烯发生双键异构化反应生成2-己烯和3-己烯。内烯烃具有更高的辛烷值以及更低的加氢饱和活性,因此端烯烃反应生成内烯烃的双键异构化反应使得S Zorb吸附脱硫过程中的辛烷值损失减小。 展开更多
关键词 s Zorb 吸附脱硫 端烯烃 饱和 双键异构 辛烷值
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Shift, the Law of the Invention of Zero
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作者 Emmanuel Cadier Anaxhaoza 《Advances in Pure Mathematics》 2023年第5期237-249,共13页
After posing the axiom of linear algebra, the author develops how this allows the calculation of arbitrary base powers, which provides an instantaneous calculation of powers in a particular base such as base ten;first... After posing the axiom of linear algebra, the author develops how this allows the calculation of arbitrary base powers, which provides an instantaneous calculation of powers in a particular base such as base ten;first of all by developing the any base calculation of these powers, then by calculating triangles following the example of the “arithmetical” triangle of Pascal and showing how the formula of the binomial of Newton is driving the construction. The author also develops the consequences of the axiom of linear algebra for the decimal writing of numbers and the result that this provides for the calculation of infinite sums of the inverse of integers to successive powers. Then the implications of these new forms of calculation on calculator technologies, with in particular the storage of triangles which calculate powers in any base and the use of a multiplication table in a very large canonical base are discussed. 展开更多
关键词 AXIOM Axiom of Linear Algebra {ALA} Any Base Calculation ABC Theory numbers Origin number Theory Newton’s Binomial Formula Pascal’s Triangle Base Z Canonical Bases Calculator Revolution Infinite sums of Inverse of Integer to the successive Powers Information Completion Theory Cipher Factorizations That Are numbers Infinite numbers That Are Infinite sums
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基于可靠性的疲劳试验数据处理方法
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作者 张凡 王丹 竺一峰 《舰船科学技术》 北大核心 2024年第12期8-12,共5页
本文基于疲劳可靠性的基本原理,在疲劳寿命对数正态分布的假设下,根据t分布理论,结合船舶及海洋工程一般构件具有95%置信度和97.72%可靠度下的P-S-N曲线的基本要求,推算出了具有95%置信度和误差限度5%内的疲劳试件个数与允许的最大变异... 本文基于疲劳可靠性的基本原理,在疲劳寿命对数正态分布的假设下,根据t分布理论,结合船舶及海洋工程一般构件具有95%置信度和97.72%可靠度下的P-S-N曲线的基本要求,推算出了具有95%置信度和误差限度5%内的疲劳试件个数与允许的最大变异系数数值对应关系,以此作为成组法疲劳试验的最少试件个数的判据开展典型节点的疲劳试验,得到具有95%置信度的百位估计值Np;并通过线性相关系数r判断对数疲劳应力Y=log S与X=log Np之间线性相关的程度,采用最小二乘法对对数疲劳寿命lg Np和对数疲劳应力lg S线性拟合,得到具有95%置信度的P-S-N曲线,并与IIW规范中相应的曲线进行对比分析,验证了本文试验方法的可行性和可靠性。 展开更多
关键词 试件个数 P-s-N曲线 变异系数 可靠度 置信度
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A Potentially Unifying Constant of Nature (Brief Note)
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作者 Eugene Terry Tatum U. V. S. Seshavatharam S. Lakshminarayana 《Journal of Modern Physics》 2021年第6期739-743,共5页
This brief note describes a method by which numerous empirically-determined quantum constants of nature can be substituted into Einstein’s field equation (EFE) for general relativity. This method involves treating th... This brief note describes a method by which numerous empirically-determined quantum constants of nature can be substituted into Einstein’s field equation (EFE) for general relativity. This method involves treating the ratio <em>G/<span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#1115;</span></span></span></span></em> as an empirical constant of nature in its own right. This ratio is repre- sented by a new symbol, <em>N</em><sub><em>T</em></sub>. It turns out that the value of <em>N</em><sub><em>T</em></sub> (which is 6.32891937 × 10<sup>23</sup> m<span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&sdot;</span></span></span></span></span></span>kg<sup>-2</sup><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&sdot;</span></span></span></span></span></span>s<sup>-1</sup>) is within 5% of Avogadro’s number<em> N</em><sub><em>A</em></sub>, although the units are clearly different. Nevertheless, substitutions of <em>N</em><sub><em>T</em></sub> or <em>N</em><sub><em>A</em></sub> into the EFE, as shown, should yield an absolute value similar in magnitude to that calculated by the conventional EFE. The method described allows for quantum term EFE substitutions into Einstein’s gravitational constant <em>κ</em>. These terms include <em><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;"><span style="white-space:nowrap;">&#1115;</span></span></span></span></em>, <em>α</em>, <em>m</em><sub><em>e</em></sub>, <em>m</em><sub><em>p</em></sub>, <em>R</em>, <em>k</em><sub><em>B</em></sub>, <em>F, e, M<sub>U</sub></em>, and <em>m</em><sub><em>U</em></sub>. More importantly, perhaps, one or more of the many new expressions given for <em>κ</em> may provide a more accurate result than <em>κ</em> incorporating <em>G</em>. If so, this may have important implications for additional forward progress towards unification. Whether any of these new expressions for Einstein’s field equation can move us closer to quantizing gravity remains to be determined. 展开更多
关键词 Unification General Relativity Quantum Theory Einstein’s Gravitational Constant Tatum’s number Avogadro’s number
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成组法疲劳试件个数选取方法研究
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作者 张凡 王艺陶 +1 位作者 王丹 竺一峰 《装备环境工程》 CAS 2024年第1期74-80,共7页
目的 在成组法疲劳试验过程中,确定最少疲劳试件个数判据,获取有效可靠的疲劳试验结果。方法基于疲劳可靠性的基本原理,在疲劳寿命对数正态分布的假设下,根据t分布理论,结合船舶及海洋工程一般构件具有95%置信度和可靠度p=97.72%下的P-... 目的 在成组法疲劳试验过程中,确定最少疲劳试件个数判据,获取有效可靠的疲劳试验结果。方法基于疲劳可靠性的基本原理,在疲劳寿命对数正态分布的假设下,根据t分布理论,结合船舶及海洋工程一般构件具有95%置信度和可靠度p=97.72%下的P-S-N曲线的基本要求,推算出相应置信度和可靠度下5%误差限度内的疲劳试件个数与允许的最大变异系数数值的对应关系,以此作为成组法疲劳试验最少试件个数的判据,开展典型节点的疲劳试验。结果 得到了具有95%置信度的百位估计值Np,并通过线性相关系数r,判断对数疲劳应力Y=lg S与X=lg Np之间线性相关的程度,采用最小二乘法对对数疲劳寿命lg Np和对数疲劳应力lg S进行线性拟合,得到了具有95%置信度的P-S-N曲线,与IIW规范中相应的曲线一致。结论 文中给出的成组法疲劳试验个数确定方法是合理、可靠的,为船舶与海洋工程结构物典型焊接接头成组法疲劳试验个数的确定提供了依据。 展开更多
关键词 试件个数 P-s-N曲线 变异系数 疲劳可靠性 成组法 疲劳试验 船舶结构
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Stirling数表示自然数方幂和 被引量:3
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作者 尹志凌 张升 陈宝平 《内蒙古农业大学学报(自然科学版)》 CAS 北大核心 2010年第1期267-270,共4页
自然数幂和几千年来一直备受关注,Stirling数在组合数学、函数论中也有着广泛的应用,它们及其之间的关系研究一直受到学者的关注。
关键词 自然数方幂和 sTIRLING数 BERNOULLI数
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基于Ward’s方法的k-平均优化算法及其应用 被引量:7
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作者 邱苏林 王丽珍 《计算机工程与应用》 CSCD 北大核心 2008年第31期169-172,共4页
通过对k-平均算法存在不足的分析,提出了一种基于Ward’s方法的k-平均优化算法。算法首先在用Ward’s方法对样本数据初步聚类的基础上,确定合适的簇数目、初始聚类中心等k-平均算法的初始参数,并进行孤立点检测、删除;基于上述处理再采... 通过对k-平均算法存在不足的分析,提出了一种基于Ward’s方法的k-平均优化算法。算法首先在用Ward’s方法对样本数据初步聚类的基础上,确定合适的簇数目、初始聚类中心等k-平均算法的初始参数,并进行孤立点检测、删除;基于上述处理再采用传统k-平均算法进行聚类。将优化的k-平均算法应用到罪犯人格类型分析中,实验结果表明,该算法的效率、聚类效果均明显优于传统k-平均算法。 展开更多
关键词 K-平均算法 Ward’s方法 簇数目 初始聚类中心 孤立点检测
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一维鲁棒混沌映射及S盒的设计 被引量:9
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作者 韩丹丹 闵乐泉 +2 位作者 赵耿 张丽姣 闫世杰 《电子学报》 EI CAS CSCD 北大核心 2015年第9期1770-1775,共6页
本文利用Li-York混沌判别定理,构造了一类分段线性连续混沌映射.基于此类映射,建立了一个构造一类分段非线性鲁棒混沌映射的判别定理.作为应用,构造了一个由多项式函数和三角函数映射合成的分段非线性鲁棒混沌映射.通过计算该混沌映射... 本文利用Li-York混沌判别定理,构造了一类分段线性连续混沌映射.基于此类映射,建立了一个构造一类分段非线性鲁棒混沌映射的判别定理.作为应用,构造了一个由多项式函数和三角函数映射合成的分段非线性鲁棒混沌映射.通过计算该混沌映射的分岔图,验证了映射在参数范围内的混沌性.作为鲁棒混沌的应用,设计了三个基于分段非线性鲁棒混沌映射的伪随机数发生器.在此基础上,利用混沌映射对初始参数的敏感性,提出了批量生成S盒的算法.S盒密码性能的分析结果表明,生成的S盒具有良好的密码学性能,可以较好的抵抗线性与差分攻击,为密码算法的研究发展提供基础与条件. 展开更多
关键词 Li-York 混沌 鲁棒混沌 伪随机数发生器 s
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