查询词典 equation of motion

It is found thatthe fractal dimension D=1.25 corresponds to the lowest criticalcoupling constant αc=1.9,D=1.73 corresponds to the highest criticalratio of dielectric constants ηc=0.163,and when D≤1.145 bipolaronscan not exist at any rate.In chap,4,we will propose a novelapproach to the calculation of the exciton ground-state energy for thestrong-coupling case.Different from all previous methods,the wavefunction of the phonon part is assumed to take a form related to thewave function of the relative motion.We obtain the exciton energy bysolving the derived integrodifferential equation rather than select ahydrogen-like form to minimize the energy expectation.

结果发现，分数维的维数D＝1.25对应最小的临界的电-声耦合常数(αo＝1.9)，D＝1.73对应最大的临界的介电常数比(ηc＝0.163)，当分数维的维数D≤1.145时，双极化子无论如何也不可能存在，在第四章中，我们将提出一种新颖的变分方法来计算强耦合的激子-声子系统的基态能，不同于以前所有的方法，我们取声子的波函数与相对运动波函数有关的形式，而不是假定一个固定的关于相对运动坐标r的函数形式，得到相对运动波函数所满足的非线性的微分积分方程，我们数值求解这个微分积分方程得到系统基态能，而不是选择一个类氢原子的波函数变分使得能量的期待值最小。

The coupling system including the vibration of vehicles and bridge structure is set up based on the vehicle-bridge coupling element due to pavement's stochastic irregulation, the motion equation is solved by numerical integration method.

通过基于桥面随机不平顺的车桥耦合单元建立包含车辆振动和结构振动的耦合系统，用数值积分法求解动力学方程。

According to the air trajectory of every rocket-assisted torpedo part, we establish an equation group of air vertical motion, improve the in-air trajectory model, and simulatively calculate the polynomials of firing distance and flight time,and firing distance and shut down time. Making use of the polynomials, we calculate the cooperative time of formation salvo of torpedoes, and determine command ways for different situations. The result may facilitate the research of operational application of rocket-assisted torpedo.

根据火箭助飞鱼雷空中运动各部分的特点，建立了其空中纵向运动方程组，完善了空中弹道模型，仿真计算了射程-飞行时间和射程-关机时间关系多项式，利用关系式计算了编队齐射火箭助飞鱼雷的协同时间，确定了不同态势下的指挥方式，为深入研究火箭助飞鱼雷编队作战使用问题提供了重要的参考数据和理论依据。

Kinematics and dynamics modeling and analyzing method of a 3-RRRT parallel robot was studied. Kinematic model of the 3-RRRT parallel robot was set up with both the branch bar's relative coordinates and movable platform's absolute coordinates used as it's generalized coordinates. On the base of Kane's equation, dynamics model of the 3-RRRT parallel robot was built. Dynamic Numerical simulation of the 3-RRRT parallel robot was finished by using Matlab software, and so it provides valuable reference for motion control strategy of the 3-RRRT parallel robot.

研究一种3-RRRT新型高速搬运机器人运动学与动力学建模及分析方法，以支链构件相对运动坐标和动平台绝对运动坐标作为广义坐标，建立了3-RRRT型并联机器人的运动学模型，结合带乘子的凯恩方程建立了3-RRRT型并联机器人的动力学模型，并利用Matlab软件平台进行了动力学数值仿真，进而为3-RRRT型并联机器人的控制策略研究提供参考。

Although they used the 3D modes of the deck in the determination of aerodynamic characters so that the mechanical coupling and aero-coupling between the modes can be depicted more correctly ; in order to reduce the computation effort, however, they still adopted the partial differential equation to characterize the buffeting motion of the deck modeled as a uniform beam.

尽管他们将桥面的三维振型应用于计算气动特性分析中，从而可以较真实地描述振型间的机械和气动耦合。但是为了减小计算规模，他们仍然是用均匀梁的偏微分方程来描述桥面的抖振运动。

Secondly, European option pricing problem is discussed when price of stocks follows geometric Brown motion and return of stocks follows Ornstein-Uhlenbeck process. Using Arbitrage-free principle, we give a partial differential equation with which option price is satisfied and using Fourier inverse transformation, the closed-form solution to European Call option pricing formula is given.

其次，讨论了股票价格服从几何布朗运动，股票收益服从Ornstein-Uhlenbeck 过程的欧式期权定价问题，利用无套利原理给出了期权价格满足的偏微分方程，并运用傅立叶逆变换，求出了欧式看涨期权定价公式的封闭解。

It is pointed out that the critical stretch of the sphere composed of the first kind of materials given in this chapter is less than that for the perfect materials. Finally, stability of solutions of the cavitated bifurcation equation is discussed. 3. In Chapter 5, problem of radial motion for a solid sphere composed of an imperfect incompressible hyper-elastic material, subjected to a surface tensile dead load, is examined.

第四章中，分别研究了两类具有缺陷的可压缩超弹性材料球体在表面均布的径向拉伸作用下的空穴分岔问题，得到了两类材料球体的径向变形函数的参数型解析解和参数型空穴分岔解，同时指出了本章中给出的第一种缺陷材料组成的球体与无缺陷材料的相比会提前发生空穴分岔。

The mooring force on buoy is calculated in use of the catenary's theory and B-Spline functions fitting, then the motion equation is solved in time domain.

具体方法是通过悬链线理论和B样条拟合求得浮筒所受的锚链力，然后求解结构的时域运动方程得到结构物的运动响应和锚泊系统的内部应力。

Thirdly, geometry and mechanics equation on arbitrary point of the mooring line is deduced based on the catenary's theory . By using B-Spline functions the relationship curve between excursion and mooring force can be obtained, so the mooring force on buoy during the motion is known.

另外，本文应用数学物理的悬链基本方程，推导出平衡悬链上的任意点的几何、力学计算方程，给出了链型静力平衡判别式，还建立了锚链松弛和张紧状态下锚链顶端位移与水平力及垂向力之间关系的分析程序，通过B样条函数方法拟合不出同吃水情况下物体的水平漂移量与锚链拉力之间的关系曲线，从而在时域计算中可以得到锚链力的大小。

The separate velocity decides the shape and size during the sphere phase. Linear relative motion differential equation can be used to reduce the debris density model. Rope and spiral is distinguished from geometry, orbital maneuver theory is used to analysis the existence of pinch point and pinch line.

在球形阶段起主要作用的是分离速度；椭球形阶段可以利用线性化相对运动方程进行分析；绳形与螺旋线形在几何上有质变，但都有结点和结线，并可以利用速度增量理论分析和解释其存在的原因。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。