Abstract
The cylindrical worm gear drives are widely used in different mechanical construction such as in the vehicle industry, the robotics, the medical appliances etc. The main property of them is the perpendicular and space bypass axes arrangement. Quite high transmission ratio could be achieved because of the high number of teeth of the worm-wheel and a little number of threads of the worm. More teeth are connected on the worm-wheel at the same time that is why higher loads and power could be transferred. In this research an Archimedean type cylindrical worm gear drive was designed. After the determination of the geometric parameters the computer-aided models were created for the LTCA analysis. Knowing of the kinematic motions of the elements the contact points of the wrapping surfaces could be determined by mathematical way. The necessary coordinate system's arrangements and matrixes were also determined. Different torques were applied during the LTCA. The changing of the distribution of the normal stress and normal deformation into different directions was followed on each connecting tooth of the worm-wheel by the torques. Based on the results consequences were determined by the created diagrams which contain the torques and the analysed mechanical parameter for each tooth.
Highlights
The Archimedean worm can be derived, an inclining with v angle to basic cylinder and basic cylinder shaft transitory line does consistently rotating and advancing motion around the cylinder (Fig. 1)
The AB section of line, which does not change its angle and distance comparing to the basic cylinder shaft during motion, defines Archimedean worm surface [1,2,3,4,5,6,8,9,20]
Characteristic of originated worm next to these conditions, it gives Archimedean spiral in perpendicular segment for the worm axis at the same time the generators of helical surface always cross through the worm axis [4]
Summary
The Archimedean worm can be derived, an inclining with v angle to basic cylinder and basic cylinder shaft transitory line does consistently rotating and advancing motion around the cylinder (Fig. 1). The tooth contact pattern and transmission errors of large-sized worm gear pair with Niemann profiles are analysed before machining of the worm and worm wheel. Geometric interference can occur in cylindrical worm gear set that makes use of oversized hob to cut the worm gear. The interference results in a corner contact In this study, they examined the influence of the machine tool setting errors of the worm gear hobbing and the influence of the shaft misalignments of the worm gear set on the interference [17]. This study examined the geometric interference of cylindrical worm gear drives using an oversized hob to cut the worm gear. A mathematical model is presented for the determination of the tooth surface of the worm-wheel machined by either the tangential or the radial method. This includes a numerical method that requires the envelope condition to be solved [20]
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