Fuzzy Probability Theory

2021 ◽  
pp. 1-25
Author(s):  
Michael Beer
Keyword(s):  
Probability Theory ◽  
Fuzzy Probability ◽  
Fuzzy Probability Theory

Design and research of a novel type of mechanical presses driven by three servo motors in parallel

2012 ◽  
Vol 227 (3) ◽  
pp. 580-591 ◽  
Author(s):  
Xun Huang ◽  
Chunxiang Ma ◽  
Suxing Wu ◽  
Qian Wang ◽  
Zhibo Wang ◽  
...  
Keyword(s):  
Probability Theory ◽  
Forward Kinematics ◽  
Generalized Function ◽  
Engineering Practice ◽  
Drawing Process ◽  
Fuzzy Probability ◽  
Fuzzy Reliability ◽  
Deep Drawing Process ◽  
Computing Method ◽  
Fuzzy Probability Theory

A novel type of mechanical presses design driven by three servo motors in parallel is proposed to develop high stamping capacity based on the theory of generalized function sets, and then is improved to enhance its practicability in engineering practice. The inverse and forward kinematics analyses are conducted later. Based on the fuzzy probability theory, the computing method of fuzzy reliability of kinematic accuracy of slider is then obtained. Finally, with a set of optimized length parameters of the presses given, the fuzzy reliability is calculated, on the basis of which a typical deep-drawing process is simulated.

Study on Fuzzy Reliability of Shaft Fixing Grinding Wheel in Internal Grinding

2006 ◽  
Vol 304-305 ◽  
pp. 218-221
Author(s):  
Chun Xiang Ma ◽  
Z.H. Qu ◽  
Q.J. Wu ◽  
Zhen Ruan ◽  
Li Ming Xu
Keyword(s):  
Probability Theory ◽  
Fatigue Strength ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Grinding Wheel ◽  
Reliability Model ◽  
Fuzzy Probability ◽  
Fuzzy Reliability ◽  
Internal Grinding ◽  
Fuzzy Probability Theory

The fuzzy allowable intervals of the deflection, the vibration frequency and the fatigue strength of the shaft fixing grinding wheel are proposed in present paper based fuzzy set theory. According to fuzzy probability theory, the fuzzy reliability model of the rigidity, the fuzzy reliability model of the vibration and the fuzzy reliability model of the fatigue for the shaft fixing grinding wheel in internal grinding are given. The method is put into real example.

Kinematic accuracy reliability research of a novel exoskeleton with series-parallel topology

2013 ◽  
Vol 228 (10) ◽  
pp. 1767-1776 ◽  
Author(s):  
Dalei Pan ◽  
Feng Gao ◽  
Xun Huang ◽  
Yunjie Miao
Keyword(s):  
Probability Theory ◽  
Lower Extremity ◽  
Space Distribution ◽  
Fuzzy Probability ◽  
Fuzzy Reliability ◽  
Kinematic Accuracy ◽  
Position Analysis ◽  
Machining Errors ◽  
Unique Method ◽  
Fuzzy Probability Theory

A novel type of lower extremity exoskeleton with series-parallel topology was described. Position analysis of a simplified leg was conducted to provide a basis of the kinematic accuracy reliability. Considering both assembly-machining errors and driving errors, the fuzzy reliability of kinematic accuracy was obtained based on the fuzzy probability theory. With a set of optimized length parameters and joint ranges of motion given, the fuzzy reliability of space distribution and the average fuzzy reliability were respectively calculated and shown in figures. These analyses of kinematic accuracy reliability provide a unique method to judge, analyze, and design exoskeleton mechanisms.

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