St. Chiou et Fy. Chen, CHARACTERISTICS OF THE VARIABLE LEAD SCREW MECHANISM WITH 3-DEGREES CONIC FRUSTUM MESHING ELEMENTS, JSME international journal. Series C, mechanical systems, machine elements and manufacturing, 40(3), 1997, pp. 503-511
This paper outlines the theoretical and experimental analyses of the k
inematic and kinetostatic characteristics of a variable lead screw mec
hanism (VLSM) used in high-speed shuttleless weaving looms. The mechan
ism consists of a slider-crank submechanism equipped with four conic f
rustum meshing elements with a 3 degrees conical angle to drive the va
riable lead screw in an oscillating manner. The screw and meshing elem
ents act as a spatial cam pair. The conjugate surface theory and coord
inate transformation are applied to develop the theoretical models use
d to analyze the mechanism. The kinematic curve is synthesized using o
ptimization techniques that minimize the dissipated power due to the f
riction between the screw and meshing elements. The power equation is
applied to analyze the input power of the VLSM, and the generalized La
nchester balancer technique is used in the design of the counterweight
to reduce the shaking force. Experimental instruments are used for me
asuring the characteristics of the mechanism, including the angular ve
locity of the crank, the motion (including angular displacement, veloc
ity and acceleration) of the screw, the input power, and the shaking f
orces before and after adding the counterweight. Using a specified con
stant speed or the measured state of motion of the crank, the VLSM is
analyzed theoretically, and results are compared with the measured res
ults. It is shown that the input power of the prototype proposed is ab
out one-quarter less than that of a commercial product, and the shakin
g force of the mechanism can be reduced by 46% once the proposed count
erweight is added.