A Reverse Direction Iterative Planning Algorithm of Clamping Forces in Entire Active Region Based on Workpiece Stability

doi:10.3969/j.issn.1000-1093.2016.09.021

Abstract

Abstract: The reasonable planning of clamping forces in the machining process is a key issue for guaranteeing the machining quality, which is of great significance to ensure the machining reliability and accuracy. For this purpose, a reverse direction iterative planning algorithm of clamping forces in entire active region is established. In addition to the direction constraint to contact force between workpiece and fixture, the force state of workpiece in fixturing layout is analyzed. According to unknown and known conditions of magnitude of clamping forces and clamping placement, the analysis methods of force existence and force feasibility are established based on the linear programming technology. Under the condition of existence of clamping forces, a clamping surface is discretized into points, and the magnitude of clamping force is chosen, beginning with the minimum value at each point with a certain step length along the positive direction. The selection of the next magnitude of clamping force depends on the difference between the feasibilities of clamping forces at two adjacent points. According to the difference between the feasibilities of the current clamping force and the last one, the step length and its direction can be determined for the next selection. If the feasibility of the current magnitude is same as the feasibility of the previous magnitude, the step length and its direction for the next magnitude are the same as those for the current magnitude. Otherwise, a half of step length along the negative direction is chosen. The selection procedure for the magnitude of clamping force is exceeded until the absolute value of the current step length is within the given threshold value. The proposed method can be used to transform the continuous design issue of clamping forces into a discrete one. It can be used for the development of computer aided clamping force design as well as the determination of clamping forces for workpieces with complex surfaces.

Key words: manufacturing technology and equipment, clamping force, existence of force, feasibility of force, threshold value, discretization, reverse direction

CLC Number:

TG75.3

QIN Guo-hua, SUN Shuo, WANG Hua-min, ZUO Dun-wen, WU Tie-jun, LU Yu-ming. A Reverse Direction Iterative Planning Algorithm of Clamping Forces in Entire Active Region Based on Workpiece Stability[J]. Acta Armamentarii, 2016, 37(9): 1700-1707.

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