Abstract
Abstract. Motion characteristics are dimensionless peak values of velocity, acceleration, jerk, and acceleration multiplied by velocity of a motion program. In general, these peak values of synthesized motion programs should be as low as possible. Some trigonometric motion programs are widely used because they have a good compromise of all motion characteristics. A property in common for trigonometric motion programs is that their acceleration functions can be expressed as a qualitative shape of a sinusoidal function. The interval of the sinusoidal function is divided into several zones having different linear slopes. The acceleration function can be easily shaped by specifying presented phase angle function to synthesize desired motion programs. To improve the kinematic quantities of trigonometric motion programs, this paper addresses an alternative phase angle function to obtain synthesized motion programs with simultaneous reduction in all the motion characteristics. The synthesis process and results are illustrated by examples.
Highlights
A cam mechanism is a simple but effective way of transforming an ordinary motion into an intricate output motion
Results indicate that employing the presented design equations for motion synthesis does lead to a simultaneous reduction in peak values of velocity, acceleration, jerk, and acceleration multiplied by velocity
For a family of trigonometric motion programs, such as cycloidal, modified sinusoidal, modified trapezoidal, and modified constant velocity 50 motion, their acceleration functions can be described by a generalized piecewise function
Summary
A cam mechanism is a simple but effective way of transforming an ordinary motion into an intricate output motion. Apart from meeting the predetermined design requirements, it is important to synthesize a motion program with lower peak values of velocity, acceleration, and jerk, especially for high-speed cams. Sateesh (2014) aims to reduce the velocity, acceleration, and jerk peak values by using non-uniform rational B spline (NURBS) to describe cam motion programs. In a synthesizing cam motion program, velocity, acceleration, and jerk functions are the main characteristics under investigation Among these kinematic characteristics, the acceleration function is the most influential factor because the physical nature of the cam–follower mechanism is mainly modeled by the acceleration function. There only needs a spring with lower stiffness, which leads to an overall reduction in the contact forces As suggested, both the magnitude and location of the maximum acceleration are important for the synthesis of the cam motion program. Results indicate that employing the presented design equations for motion synthesis does lead to a simultaneous reduction in peak values of velocity, acceleration, jerk, and acceleration multiplied by velocity
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