System reliability;
Robotic manipulator;
Extreme value distribution;
Maximum entropy principle;
Fractional moments;
Monte Carlo simulation;
PROBABILISTIC APPROACH;
MECHANISM RELIABILITY;
FRACTIONAL MOMENTS;
ENTROPY;
INFORMATION;
DENSITIES;
DYNAMICS;
D O I:
10.1016/j.mechmachtheory.2012.08.009
中图分类号:
TH [机械、仪表工业];
学科分类号:
0802 ;
摘要:
The paper presents an innovative method for computing reliability of a robotic manipulator such that the positional error in the entire trajectory remains within acceptable limits. This problem is equivalent to a series system reliability analysis that can be solved using the extreme value distribution of the positional error. The principle of maximum entropy is applied to derive this distribution. A novel feature of the analysis is the use of fractional moments, instead of integer moments commonly used in the entropy literature. The fractional moments are obtained from a small, simulated sample of positional error. Examples are presented to illustrate accuracy and efficiency of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.