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Dynamic Simulation of a Smart crank and Slider Mechanism

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哈尔滨工程大学学报（英文版） 2002年第2期1卷 62-65页

作者： ZHU Hai-tao, ZHANG Xu, ZHANG Jia-tai, HU Sheng-haiCollege of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China College of Mechanical and Electrical Engineering Harbin Engineering University Harbin 150001 China

In this paper, a smart crank and slider mechanism is analyzed mostly from a dynamic view. By means of dynamic explicit finite element method, 3D nonlinear structure is simulated. It is proved that the mechanism can effectively accomplish smart movement prescribed. And in order to ensure reciprocal movement with higher frequency, measures should be taken to avoid over heating of parts. Compared with internal energy, kinetic energy of total rigid body is dominating, and Ydirection equivalent rigid velocity is much higher than X direction velocity. Equivalent rigid velocity of all parts is consistent with respective movement condition. For both energy and velocity, slider effect is dominating. Three direction equivalent inertia force oscillates. Force amplitude in Y-direction is comparitively the greatest.

关键词： smart crank and slider mechanism dynamic simulation explicit finite element

Overpartition的同余关系与它的rank和crank

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Overpartition的同余关系与它的rank和crank

作者：黄晓倩江苏大学

学位级别：硕士

Overpartition定义为普通整数分拆的部分首次出现的时候可以选择在其上面加上划线,也可以选择不加。它是一类重要的带约束条件的整数分拆,在组合数学、数论、数学物理中有着广泛的应用。历史上,overpartition由不同分支的数学家给出了... 详细信息

Overpartition定义为普通整数分拆的部分首次出现的时候可以选择在其上面加上划线,也可以选择不加。它是一类重要的带约束条件的整数分拆,在组合数学、数论、数学物理中有着广泛的应用。历史上,overpartition由不同分支的数学家给出了不同的命名。直到2002年,Corteel和Lovejoy首次把这类分拆命名为overpartition并进行了系统的研究。本文主要研究overpartition的同余性质和它的统计量:rank和crank。Overpartition分拆函数的同余关系最早由Hirschhorn和Sellers研究,此后更多的模2,3,5的高次幂的同余关系相继被发现。最近,Xia证明了 overpartition分拆函数模9和27的无穷族同余关系并给出了一个关于overpartition分拆函数模243的猜想。在本文中,我们利用theta函数的(p,k)参数公式证明了 Xia提出的猜想。为了研究Ramanujan给出的普通分拆函数模5,7,11的经典的同余关系的组合解释,Dyson,Andrews和Garvan分别给出了普通分拆函数的统计量rank和crank。受此工作的启发,Bringmann,Lovejoy 和 Osburn 给出了 overpartition 的 rank 和 crank 的的定义。令 N(s,l;n),M(s,l;n),M2(s,l;n)分别表示的 overpartition 中 rank,第一类 crank,第二类 crank 的值模l余s的overpartition分拆的个数。利用Appell-Lerch和的性质,我们建立了 N(s,l;n),M(s,l;n)和M2(s,l;n)的生成函数,其中l∈{4,8}且0

关键词： overpartition 同余关系 rank crank Appell-Lerch和 rank的差分 theta函数

拟均相二维反应器模型方程的crank-Nicholson隐式解法

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江苏化工学院学报 1991年第2期16卷 18-27页

作者：朱红星

本文采用crank-Nicholson隐式差分格式,通过三对角矩阵法求解拟均相二维模型基础设计方程.为拟均相二维模型设计提供一条较好的途径。

关键词： crank Nicholson 隐式差分格式三对角矩阵基础设计隐式法模型方程差分法高斯消去法显式法

关于抛物型方程crank—NicholSon格式的敛速估计

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山东大学学报(自然科学版) 1985年第2期 25-30页

作者：王申林山东大学数学系

[1]中给出了解抛物型方程广义Galerkin方法crank-Nicholson格式的斂速估计是‖U?-u‖0=0(h2+τ3/2)。本文指出该格式的斂速估计是‖U?-u（nτ）‖0=O（h2+τ2）并证明了该格式按‖·‖0,h范数关于初值是绝对稳定的。

关键词：抛物型方程广义敛速估计 crank NicholSon

用crank拟饵作钓哥伦比亚河的中等深度水层

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垂钓 2017年第9X期17卷 78-86页

作者：岑大哲 David Swendseid

在2017年春天,我很荣幸地与美国DUO Realis的研发经理David Swendseid先生一起在哥伦比亚河钓鱼。在早春时节最为严酷和极端的河流条件下,我邂逅了许多小嘴鲈鱼。在这一期文章中,我们即将前往胡德河(Hood River)流域的波恩维尔湖(Lake B... 详细信息

在2017年春天,我很荣幸地与美国DUO Realis的研发经理David Swendseid先生一起在哥伦比亚河钓鱼。在早春时节最为严酷和极端的河流条件下,我邂逅了许多小嘴鲈鱼。在这一期文章中,我们即将前往胡德河(Hood River)流域的波恩维尔湖(Lake Boneville)西部,那里也是我此行第二天的作钓重点。我在那里钓获的主要对象鱼有活跃在中等深度水层的鳕鱼,同时也总结出了一些针对小嘴鲈鱼的作钓技巧,相信这些技巧在中国同样适用。

关键词： crank 早春时节 RPM

Monotonicity Properties of N_(2)(m,n) and M_(2)(m, n)

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数学进展 2024年第5期53卷 983-992页

作者： QU Shuailong CUI Suping School of Mathematics and Statistics Qinghai Normal UniversityXiningQinghai810008P.R.China Academy of Plateau Science and Sustainability XiningQinghai810008P.R.China

Let N_(2)(m,n)denote the number of partitions of n without repeated odd parts whose M_(2)-rank is m and M_(2)(m,n)denote the number of partitions π of n with distinct odd parts and such that the partition has crank *** this paper,by means of some classical q-series identities,we prove some inequalities of N_(2)(m,n)and M_(2)(m,n).For example,for m≥4 and n≠2m+2,N_(2)(m,n)≤N_(2)(m,n+1).

关键词： partition crank rank

Kinematic Motion Analysis and Structural Analysis of Bellcrank Structures Using FEM

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Journal of Software Engineering and Applications 2013年第7期6卷 49-55页

作者： Byeong-Sam Kim Kyoungwoo Park Department of Automotive engineering Hoseo University Asan-City Korea Department of Mechanical engineering Hoseo University Asan-City Korea

The results of kinematic motion analysis were used for the structural analysis based on data that the load applied to each part. The problem of the fatigue strength estimation of materials or components containing natural defects, inclusions or in homogeneities is of great importance for both a scientifically or industrial point of view. Fatigue behavior in components is often affected by the presence of residual stresses introduced by processes such as actuator system. Analysis can provide the estimation of the crack growth curves with sufficient accuracy, even in case of complicated bell crank structures which are crucial for preserving aileron integrity and which participate in transfer of load. Probability of crack detection or any other damage detection is a result of many factors. An endurance life prediction of bell crank is used finite element analyses. Endurance test data for slim test specimens were compared with the predicted fatigue life for verification.

关键词： Kinematic Motion Analysis Fatigue Life Analysis FEM Bell crank System Structural Analysis

PARTICLE-NUMBER-CONSERVING TREATMENT FOR THE crankING HAMILTONIAN CHENG

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Chinese Physics Letters 1986年第3期3卷 125-128页

作者： CHENG Tansheng WU Chongshi ZENG Jinyan Department of Physics Peking UniversityBeiiing

Some serious difficulties encountered in the usual cranking Shell Model may he overcome in the Particle-tlumber-Conserving treatment for the cranking *** variation of the K-structure of low-lying hands with the rotati... 详细信息

关键词： overcome rotational crank

Comparison of two types of twin-rotor piston engine mechanisms

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Journal of Central South University 2013年第2期20卷 363-371页

作者：邓豪潘存云王晓聪张雷邓力 College of Mechatronic Engineering and Automation National University of Defense Technology 63892 Unit

A novel twin-rotor piston engine （TRPE） mechanism with high volumetric output and power density was introduced. This new engine comprises an energy conversion system and a differential velocity drive mechanism （DVDM）. Two special geared four-bar mechanisms, DVDM-1 and DVDM-2, were utilized and compared. Based on the closed loop vector method, a mathematical model for position, velocity, and acceleration of the two mechanisms was established. Numerical examples illustrate that the kinematic characteristics were presented. Expression of the displacement and compression ratio of the two engine mechanisms were derived and compared. It is concluded that both DVDM-1 and DVDM-2 adopted in the proposed TRPE with six vane pistons create thirty-six power strokes per revolution of the output shaft, and the summation of two angles covered by each rocker is always 2x/N as the output shaft rotates an angle of x/N. In DVDM-1, the span angle of a vane piston should be designed to be 10.2°, and the compression ratio should be equal to 10; in DVDM-2, the span angle of a vane piston should be designed to be 10.6°, and the compression ratio should be equal to 4.3.

关键词： rotor piston engine crank rocker power density