椭圆运动

The cause of the earth tide force is its elliptic orbit movement. There is the tide caused by the earth on the moon because the earth is the focus of the moon moving orbit, but there is not the tide caused by the moon on the earth because the moon is not the focus of the moving orbit of the seawater on the earth.

地球的潮汐力是由椭圆轨道运动产生的，由于月球的轨道运动是以地球为焦点，所以在月球上可以产生受地球影响的潮汐，而不可以产生相反的潮汐，因为海水或岩浆没有以月球为焦点的轨道运动。

The eccentric anomaly as a function of time is calculated by the iterative method.

给出了沿椭圆轨道运动航天器真近点角和偏近点角的运动方程。

The solution of the equation and the period of the particle motion for a non-pertubated system are expressed exactly by means of Jacobian elliptic function and the 1-st kind elliptic integral.Melnikov function of the rotated periodic orbit is constructed,and also bifurcation of the system is analyzed by the method.

利用Jacobian椭圆函数和椭圆积分给出了系统的解和粒子运动周期，用Melnikov方法构造了旋转型周期轨道的Melnikov函数，并用这个方法分析了系统的局部分叉性质。

Making use of the space vector method, this article sets up two coordinate numeric control grinding motion model of elliptic taper piston, and researches on the law of error compensation for the systematic motion after dressing grinding wheel.

用空间矢量方法建立了椭圆锥体活塞的两坐标数控磨削运动模型，研究了砂轮修整后应对系统运动进行的误差补偿规律。

An elliptic rotating field is produced when an induction motor operates in asymmetry, this paper proposes a model of jointed motion to describe the motion of an elliptic rotating vector and states that the elliptic rotating vector is jointed with two components, the main one rotates forward at a uniform speed while the adjunctive one jointed at the topend of the main one rotates backward around the joint point at a double speed, both make the elliptic rotating vector rotate at swinging amplitude, speed and direction.

感应电机不对称运转时产生椭圆旋转磁场，本文建立了描述椭圆旋转矢量的接合运动模式，说明椭圆旋转矢量是由一个主矢量带动一个付矢量一起旋转构成的接合矢量，主矢量以匀速旋转，付矢量链接在主矢量顶端同时绕着链接点相对主矢量以二倍速反向旋转，两者共同构成的一个单向椭圆旋转矢量。

According to the characteristics of elliptical motion exerciser, this objective of the study is to systematically design new front crank type elliptical motion exerciser that can adjust its link length.

根据可调杆长的椭圆运动机的运动特性，因此本研究的目的在於以系统化方设计新型的可调杆长的前置曲柄式椭圆运动机的机构构型。

According to the characteristics of elliptical motion exerciser, this objective of the study is to systematically design new rear crank type elliptical motion exerciser that can adjust its link length.

根据可调杆长的椭圆运动机的运动特性，因此本研究的目的在於以系统化方设计新型的可调杆长的后置曲柄式椭圆运动机的机构构型。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

This research deals with the mechanism design of a 2-in-1 strider to provide running and stair climbing effects to users. This research emphasizes the ellipse trochoid of the 4 bar strider.

本研究系有关於一种二合一椭圆机健身器材之设计，此设计之健身器材可用於跑步及踏步运动方面，并藉由本型之二合一椭圆机的动作方式，让使用者能够达到跑步及踏步运动的效果。

The main structure uses the design of the ellipse trochoid of the 4 bar strider. We made the ellipse trochoid to be the optimum state for reaching the simulation effect when people are running. Besides, the design can switch to be a new six-bar strider. It uses a link bar to bind the axis pillar and the pedal also made the pedal slide free to reach the sport effect.

研究内容主要著重於二合一椭圆机之椭圆轨迹最佳化及机构运动合成，主要构造系利用一四连杆椭圆机之设计方式，并将其椭圆轨迹最佳化，以期更符合模拟人跑步时的步伐；另外，此设计亦可转换为一新型之六连杆踏步机，其系利用一连杆连接踏板及中心柱，并使踏板可在滑槽上自由移动，使其可达到踏步之运动效果。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。