The Design And Research Of Logarithmic Spiral Cam

In the variety of machinery, especially in automated machinery and automatic controlmechanism, the cam mechanism of the various forms are widely used. Cam is a body to do therotary motion or reciprocating motion of the bodies, promote the movement of the follower followerprovided for reciprocating or oscillating bodies, which is a component of the curve of internal andexternal contours or grooves, the former multi-plane cam; The latter is mostly cylindrical cam. Thisresearch is based on the planar logarithmic spiral flat disk-shaped cam. As long as the appropriatedesign of the cam profile curve can we expect that the motion law is the biggest advantage of thecam mechanism, and respond fast, simple bodies, compact. So, the cam mechanism can not be iscompletely replaced by CNC electric control device. Because of this, the cam research in the field Ithought promising.Logarithmic spiral has a wide range of applications in the field of architecture and design ofpower machinery, and therefore can be said has great practical value and significance. This topic isbased on the reality of the status and development of foreign cam depth and explore, the success ofthe logarithmic spiral is introduced and applied to the cam contour line, its starting point is toreprove the line has a unique engineering features, namely, in the spiral everywhere equal to anypoint at the helix angle, helix angle is fixed, the curve of any period can be extended or reducedcongruent with other curve. This line successfully applied for the flat contour of the cam degreedand return, the formation of a new cam profile, also have a new name for-the logarithmic spiralcam, trying to solve the pressure in the transmission process of cam profile different angle and withthe contour position caused by different power transmission efficiency is low, severe abrasion,impact, transmission is not smooth and other shortcomings.The main subject of research work in the following aspects:1.A combination of the characteristics of the planar logarithmic spiral cam mechanism thecreative logarithmic spiral will be applied to the cam profile. And the types of disk-shaped cammechanism.2.With logarithmic spiral cam contour design. Plane logarithmic spiral can be introduce withthe contour line, trimming the logarithmic spiral far repose, near-ending line to make it a smoothtransition. Adjustment degreed angle return angle and the angle of repose and the general equation isgiven. Determine the size of the base circle, given the follower roller radius or flat putter size range.3.Do analysis in the logarithmic spiral cam kinematic. Assumed that the outer contour cusp lawof motion, the use of mathematical tools to solve the equations of motion. To judge whether flexible, rigid, impact, and usage scenarios. Given displacement-the angle, speed-rotation, acceleration-corner function relationships, the use of mathematical formula displacement-time, speed-timeacceleration-time relationship.4.For the given logarithmic spiral cam dynamic analysis. Impose a certain load F, in differentcircumstances there must be kinetic equation, if necessary, can take advantage of the mechanicaldynamics software to model its dynamic analysis.