扭

Ringel has given and studied the N_0I-graded twisted coalgebra and Ringel-Hall algebra in the reference [1]. Subsequently, people found that there is an analogy between Ringel-Hall algebra and Hopf algebra, and then they introduced the concept of twisted Hopf algebras and bitwisted Hopf algebras, and worked on them.

Ringel在[1]中引入并研究了N_0I-分次扭的余代数和Ringel-Hall代数，后来人们发现Ringel-Hall代数有类似Hopf代数的结构，随后，扭Hopf代数、双扭Hopf代数先后被引入和研究。

In response to distortional double coordination about deflection and torsion in the storied covery in which major and secondary beam s are used,utilizing the angle distortion displacement method and moment equilibrium distribution method of deflection and torsion yields the calculation formula of displacement.

针对主、次梁楼盖中正交梁系弯扭变形双协调问题，采用弯扭角变位移法与弯扭力矩综合平衡分配法，推导出杆端位移、弯矩及扭矩的计算公式。

We study the recursive structure of the twisted-cube connected network sufficiently, and prove that the twisted-cube connected network is an n regular graph with connectivity n: point out that the twisted-cube connected network is a cube-free network, which is an essential distinction with the hypercube and other variations of the hypercube; prove that the diameter of n dimensional twisted-cube connected network is [ (n+1)/2] , which is almost the half of hypercube's.

首先对其结构的递归性进行充分地研究，证明它是连通度为n的n正则图；指出扭立方体连接网络无立方体子图，这是扭立方体连接网络与超立方体及其其它变种的本质差别；证明了n维扭立方体连接网络的直径为[（n+1）/2]，它几乎是超立方体直径的一半；最后，给出超立方体及其变种的等价定义，并对它们的结构递归性、网络参数和拓扑性质等作了简单的分析、综合和比较。

The vertical torsion spring laser guide beam arm is designed by analytic method, and the load curve is mapmaked in the permited fluctuation range. A torsion spring curve is designed to match with the VTSLGBA′s feature curve, and the torsion spring design parameter can be confirmed according to the match result.

采用解析法优化设计了立式扭簧激光导光臂，在允许的工作波动范围内绘出导光臂的载荷曲线，然后设计出一条扭簧的扭矩曲线使其与导光臂的载荷曲线相匹配，再根据匹配结果确定扭簧的设计参数。

The influence of arrangement of the anti-sideways elements on the structural tor- sion was discussed. The formula of structural torsion stiffness was given. The method to decrease the structural torsion effect was found.

考察了抗侧力构件布置对结构扭转效应的影响，给出了结构抗扭效应近似计算中扭转刚度的计算公式，通过参数分析，分析了结构抗扭刚度的影响因素，指出了减小结构抗扭效应的途径。

We study the Dirac structures on protobialgebroid, give the integrable conditions for maximally isotropic subbundle being Dirac structure for protobialgebroid by the notion of characteristic pair. From the integrable conditions, we found out that Dirac structure has closed relations with twisting of protobialgebroid. Further, the closed relations are explained, the fact that twisting of protobialgebroids is a equivalence relation is verified.

详细研究了proto双代数胚匕的Dirac结构，给出了极大迷向子丛可积的充要条件，发现在这些充要条件中蕴含了proto双代数胚的扭关系，进一步阐明了扭与Dirac结构之间的内在联系，证明了扭在proto双代数胚范围内是等价关系。

The responses properties of coupled vibrations for 120° and 180°asynchronous juxtaposition of 200MW turbine-generator set were analyzed. The results show that the responses properties of flexural and torsional vibrations caused by 120° asynchronous juxtaposition are similar to that of 180° asynchronous juxtaposition. When the fault happened, Former two steps inherence frequencies and whirl speed frequency of torsion are excited. And the first step inherence frequencies of flexural vibration are also excited besides whirl speed frequency. Transient electromagnetism moment peak, torsional and torsional moment responses caused by 180° asynchronous juxtaposition are lower than that of 120° asynchronous juxtaposition.

利用该方法，针对某200MW汽轮发电机组的120°和180°两种非同期并列情况，进行了机组弯扭耦合振动响应特性研究，分析表明：汽轮发电机组的120°和180°两种非同期并列情况下的弯振和扭振响应特性基本相似；非同期并列主要激发出工频和前两阶固有频率扭振，弯振除工频主分量外，第一阶固有频率也被激发出来；180°非同期并列时的暂态电磁力矩峰值比120°非同期并列时低，相应的扭振和扭矩响应也小于后者。

This paper extends the analysis for axial-system torsional oscillation into the nonlinear domain,and the research for Hopf ramification phenomena in axial-system torsional oscillation has been made using the time-domain simulating results,it verified the analysis results of similar nonlinear differential equation describing the axial-system torsional oscillations.

文中把发电机轴系扭振的分析扩展到非线性领域，并对轴系扭振中的Hopf分歧现象进行了研究，利用时域仿真结果对从描述轴系扭振的近似非线性微分方程分析所得结果进行了验证。

Said torsion spring is increasingly stressed torsionally as the wind acting on said propeller blades increases in velocity and, as the torsional stress on said spring reaches a certain magnitude, said spring moves at least partially away from said first abutment member and, with increasing torsional stress on said spring, through the intervening angle between said abutment members and into engagement with said second abutment member.

说扭簧是越来越强调扭矩为风署理就表示，螺旋桨桨叶的增加速度，由于扭应力就表示，春季达到一定的规模，说春天的举动，至少部分远离说，第一台的成员，随扭应力对说，春天，通过干预之间的角度说，坝肩成员和到接触说，第二台的成员。

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失