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According to the construction constituted and the drive principles, the formation methods of the theoretical tooth shape and the practical tooth profile for hypocycloid and epicycloid are studied, and the right-angle coordinate equations and the complex number vector equations are deduced respectively.

根据摆线钢球行星传动的结构组成原理和啮合传动原理,研究了构成钢球摆线槽端面啮合副的内、外摆线理论齿形和实际齿廓的形成方法,并分别推导出内外摆线理论齿形和实际齿廓的直角坐标方程和复数矢量方程。

The equations of the curvature, curvature radius, main curvature and main curvature radius on hypocycloid抯 and epicycloid抯 theoretical tooth shape and practical tooth profile are deduced respectively.

根据微分几何知识,分别推导出内、外摆线理论齿形和实际齿廓的曲率、曲率半径、主曲率及主曲率半径的方程式,并绘制了内、外摆线理论齿形和实际齿廓曲线及理论齿形的曲率半径变化曲线。

Virtual prototype model of the new type hypocycloid internal combustion engine was built by Solidworks and ADAMS software. And research on its kinematics and dynamics was conducted.

利用Solidworks和ADAMS软件建立了新型内摆线内燃机的虚拟样机模型,进行了运动学与动力学特性研究。

According the forming condition of ordinary hypocycloid,when moving circle diameter is 2/3 of steady circle diameter,the 3-sharp cycloid is formed.

普通摆线泵的内转子齿廓是短幅外摆线的等距曲线,与其相啮合的外转子齿廓是圆弧,一般内转子为6个齿,外转子为7个齿。

In order to improve the mechanical performance and transmission efficiency of the traditional pulsed mechanical continuously-variable transmission,a novel pulsed CVT is proposed according to the linear characteristic of hypocycloid at specific parameters and by combining the planet gear transmission mechanism with the crank slide block mechanism.

针对脉动式无级变速器动力性能差、效率低下等缺点,利用内摆线在特定条件下为直线的特性,将行星齿轮传动机构与曲柄滑块机构相结合,提出了一种新型脉动式无级变速装置。

Numerical simulation by Matlab for the new hypocycloid energy transformation mechanisms was done by means of the four-order Runge-kutta's method. The result shows that the simple harmonic and rectilinear motion of piston in the new mechanism make the engine working more stable. The peak acceleration is around 25% lower in the new mechanism than that in the conventional slider-crank mechanism. And the output speed is much higher at the same identical mean effective pressure and same load torque. And then the output power of the engine is improved.

基于四阶Runge-Kutta法,运用MATLAB进行了仿真验证,结果表明,新型内摆线能量转换机构的活塞做完全简谐直线运动,运动更加平稳;活塞加速度峰值比传统曲柄滑块机构小25%;在相同的气缸平均等效压力和负载转矩下,具有较高的输出转速,提高了内燃机的输出功率。

Continuously variable transmission ; hypocycloid ; planet gear ; crank slide block mechanism ; pulse

无级变速器;内摆线;行星齿轮;曲柄滑块机构;脉动

Mainly engaged in a new type of lateral pressure without cycloidal gear linkage within the internal combustion engine research and development of economic management and software development.

主要从事新型无侧压无连杆内摆线行星齿轮内燃机的研制开发和经济管理软件的开发。

Based on the tooth profile curve equation of inner rotors in cycloidal pump , the formula for displacement calculation of the pump are derived.

根据摆线泵内转子的齿廓曲线方程,推导出了摆线泵的排量计算公式。

In this paper,the fundamental conception of every kind of cycloids is introduced,the forming progress of the inner and outer rotor tooth profile is stated,and the reason why the inner rotor tooth profile should adopt the short amplitude outer cycloid inner equidistant line,while the common outer cycloid and the long amplitude outer cycloid are not suggested to use.

本文就各种摆线的基本概念作了介绍,并阐述了内、外转子齿廓的形成过程,分析了内转子齿廓为短幅外摆线圆内等距线,而不宜采用普通外摆线及长幅外摆线的原因。

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