摘要
摆杆活齿传动是在摆动活齿传动基础上研究开发的一种新型活齿传动形式。它是一种用于传递两同轴运动和动力的新型传动,具有多齿啮合、承载能力强、全滚动啮合传动效率高、传动比大、输出刚度大等特点,这些特点使摆杆活齿传动具有很好的应用前景。
论文根据摆杆活齿传动的结构特点,推导出摆杆活齿传动中心轮齿廓方程和活齿受力计算公式。根据振动系统建模方法,建立了摆杆活齿传动系统的振动分析模型。
依据摆杆活齿传动啮合副结构特点,基于Hertz理论建立了摆杆活齿传动啮合副的啮合刚度模型,结合模型推导出各啮合副刚度计算公式,利用Matlab软件程序计算分析了摆杆活齿传动各主要结构参数对各啮合副啮合刚度的影响规律。
针对摆杆活齿传动机构的动力学特点,首次采用集中参数法建立了摆杆活齿减速器的3自由度扭转振动模型。按照等效前后动能和势能不变的原则,推导出等效转动惯量和啮合副等效扭转刚度,并利用Matlab软件程序计算分析等效啮合刚度的变化规律及摆杆活齿传动结构参数对等效啮合刚度的影响规律。利用动力学模型对摆杆活齿传动样机的振型进行了求解和分析。
综合考虑摆杆活齿传动的输入轴弹性、输出轴轴承弹性以及激波器与活齿啮合副、活齿与中心轮啮合副的弹性等因素的影响,利用牛顿第二定律并结合变形协调方程,建立了摆杆活齿传动系统的动力学模型,并对摆杆活齿传动系统振动的固有频率进行了求解和分析。
Swing-rod movable teeth drive, which is exploited on the foundation of swing movable teeth drive, is a new type of movable teeth drive. It, which is used to transit rotary motion and power between two shifts with the same axis, is a new type of drive. The swing-rod movable teeth drive has the advantage of more meshing, strong load-carrying capacity, high transmission efficiency by full rotation, large angular velocity ratio, large outputting rigidity etc. These characteristics make swing-rod movable teeth drive have great application vistas.
According to the structure characteristic of swing-rod movable teeth drive, the center roller teeth profile equation and stress calculated formula of movable teeth of swing-rod movable teeth drive are deduced. By means of modeling of vibration system, the vibration analysis system of swing-rod movable teeth drive is built.
According to the structure characteristic of swing-rod movable teeth drive meshing pair and the theory of Hertz, the meshing rigidity model of swing-rod movable teeth drive meshing pair is founded. The meshing rigidity of each meshing pair is deduced. By using of Matlab the regularity that structure parameters of swing-rod movable teeth drive affect meshing rigidity of each meshing pair is analyzed.
Contraposing to dynamic characteristic of swing-rod movable teeth drive organization, the 3 freedoms torsional dynamic model of swing-rod movable teeth reducer is founded, which adopt concentrate parametric method for the first time for the first time. Base on the principle of kinetic energy and potential energy which are fixedness fore-and-after equivalent, the equivalent torsional inertia and the equivalent torsional rigidity of meshing are deduced. The regularities which are the change of equivalent torsional rigidity ofmeshing and the influence of the equivalent meshing rigidity on structure parameters of swing-rod movable teeth drive are calculated and analyzed by using of Matlab. The model analysis is worked out.
The elasticity of driving axis, the elasticity of outputting axis bearing and the elasticity of movable teeth are taken into consideration. The dynamic model of swing-rod movable teeth drive system is founded by using of Newton’s second law and compatibility of deformation equation. The natural frequency of vibration system is calculated and analyzed.
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