The multi-degree-of-freedom (multi-DOF) follower may suffer from unwanted vibrations when the cam works at the high speed. The vibrations will cause significant problems of positioning accuracy, noise, wear, forces, and operating costs for the cam-follower mechanism. It is challenging to design high-speed cam profiles for multi-DOF followers because of the complicated dynamics. A novel method is presented to design the cam profile in this article. A polynomial profile filters through a continuous-piecewise smoother to produce the cam profile. While the profile and their derivatives are continuous, the profile provides good performance on the vibration reduction for multi-DOF followers. Simulated and experimental results from a flexible-link manipulator validate the effectiveness of the cam profiles created by the new method.
YousufLS. Non-periodic motion reduction in globoidal cam with roller follower mechanism. Proc IMechE, Part C: J Mechanical Engineering Science2022; 236(6): 2714–2727.
2.
LiuYZhangJWangL, et al. Optimization design of a bionic horse’s leg system driven by a cam-linkage mechanism. Proc IMechE, Part C: J Mechanical Engineering Science2023; 237(3): 573–588.
3.
WangLZhangSWangC, et al. Optimization and synthesis of a cam-linkage mechanism with a swing follower with variable pivot. Proc IMechE, Part C: J Mechanical Engineering Science2022; 236(6): 2861–2883.
4.
TangYXuXZhangL, et al. Simulation analysis and performance optimization of the combustion process of the opposed cam piston engine. Proc IMechE, Part C: J Mechanical Engineering Science2022; 236(11): 6269–6283.
5.
KwakernaakHSmitJ. Minimum vibration cam profiles. Proceedings of IMechE Part C: Journal of Mechanical Engineering Science1968; 10(3): 219–227.
6.
KanzakiKItaoK. Polydyne cam mechanisms for typehead positioning. J Eng Ind1972; 94(1): 250–254.
7.
SadekKSHDaadbinA. Improved cam profiles for high-speed machinery using polynomial curve fitting. Proc IMechE, Part E: J Process Mechanical Engineering1990; 204: 127–132.
8.
YuQLeeHP. A new family of parameterized polynomials for cam motion synthesis. J Mech Des1995; 117(4): 653–655.
9.
ChewMChuangCH. Minimizing residual vibrations in high-speed cam-follower systems over a range of speeds. J Mech Des1995; 117: 166–172.
SandgrenEWestRL. Shape optimization of cam profiles using a b-spline representation. J Mech Transm Autom Des1989; 111: 195–201.
12.
FabienBCLongmanRWFreudensteinF. The design of high-speed dwell-rise-dwell cams using linear quadratic optimal control theory. J Mech Des1994; 116: 867–874.
13.
AndresenUSinghoseW. A simple procedure for modifying high-speed cam profiles for vibration reduction. J Mech Des2004; 126: 1105–1108.
14.
QiuHLinCJLiZY, et al. A universal optimal approach to cam curve design and its applications. Mech Mach Theory2005; 40: 669–692.
15.
JiangJKIwaiYRSuH. Minimizing and restricting vibrations in high-speed cam-follower systems over a range of speeds. J Appl Mech2007; 74: 1157–1164.
16.
ErdelyiHTalabaD. A novel method for the dynamic synthesis of cam mechanisms with an imposed driving force profile. Proc IMechE, Part C: J Mechanical Engineering Science2010; 224(8): 1771–1782.
17.
UmeshCSatishchandraJ. Synthesis of cam profile using classical splines and the effect of knot locations on the acceleration, jump, and interface force of cam follower system. Proceedings of IMechE Part C: Journal of Mechanical Engineering Science2011; 225: 3019–3029.
18.
FlockerFW. A versatile cam profile for controlling interface force in multiple-dwell cam-follower systems. J Mech Des2012; 134(9): 094501.
19.
LiangZHuangJ. Design of high-speed cam profiles for vibration reduction using command smoothing technique. Proc IMechE, Part C: J Mechanical Engineering Science2014; 228(18): 3322–3328.
20.
NguyenTTNKurtenbachSHüsingM, et al. A general framework for motion design of the follower in cam mechanisms by using non-uniform rational B-spline. Mech Mach Theory2019; 137: 374–385.
21.
GuerraDBattarraMMucchiE. Kinematics and geometrical admissibility conditions of balanced vane pumps with twin lip vanes. Mech Mach Theory2022; 167: 104534-1-16.
22.
BäselU. Using the incomplete beta function as transfer function for dwell–rise–dwell motions. Mech Mach Theory2023; 188: 105387-1-28.
23.
ChenFYPolvanichN. Dynamics of high-speed cam-driven mechanisms—Part 1: Linear system models. J Eng Ind1975; 97(3): 769–775.
24.
ChenFYPolvanichN. Dynamics of high-speed cam-driven mechanisms—Part 2: Nonlinear system models. J Eng Ind1975; 97(3): 777–781.
25.
ChenBHuangJJiJC. Control of flexible single-link manipulators having Duffing oscillator dynamics. Mech Syst Signal Process2019; 121: 44–57.
