A new formulation for state equation representation for Petri nets

1992 ◽  
Vol 32 (8) ◽  
pp. 1083-1090
Author(s):  
R.P. Kaushal ◽  
N. Chammas ◽  
Harpreet Singh
Author(s):  
Michael Yu Wang

This paper presents a new approach to designing continuum compliant mechanisms—the kinetoelastic approach. We present a new formulation of the design problem, incorporating not only the kinematic function requirements of the mechanism but, more importantly, the compliance characteristics of the mechanism’s structure. In our kinetoelastic model, the kinematics of the compliant mechanism is defined on rigid-bodies of input/output ports and is related to a set of kinetoelastic factors of mechanism’s structure in a state equation of the mechanism defined by the elasticity theory. Central to defining the compliance characteristics of the mechanism is the mechanism eigensystem with principal eigen-stiffness or eigen-compliance. In this new perspective, we further apply the kinetoelastic model to the problem of designing compliant translational joints with a structure topology optimization technique. This application demonstrates the capability of the kinetoelastic approach in producing compliant designs with desirable compliance properties, such as in the leaf-spring type sliding joint as opposed to the notch-type joint. The paper represents an initial development towards a complete methodology for continuum compliant mechanism design.


1981 ◽  
Vol 69 (4) ◽  
pp. 466-467 ◽  
Author(s):  
A.A. Khan ◽  
G.S. Hura ◽  
H. Singh ◽  
N.K. Nanda
Keyword(s):  

2003 ◽  
Vol 18 (11) ◽  
pp. 1145-1153 ◽  
Author(s):  
Gi Bum Lee ◽  
Han Zandong ◽  
Jin S. Lee

2009 ◽  
Vol 42 (21) ◽  
pp. 78-83
Author(s):  
Marcos V. Moreira ◽  
Daniel S. Botelho ◽  
João C. Basilio

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Long-long Song ◽  
Tai-yong Wang ◽  
Xiao-wen Song ◽  
Lei Xu ◽  
De-gang Song

A fault tree is established based on structural analysis, working principle analysis, and failure mode and effects analysis (FMEA) of the pantograph-type current collector on the Chinese Rail High-Speed Electric Multiple Unit (CRH EMU) train. To avoid the deficiencies of fault tree analysis (FTA), Petri nets modelling is used to address the problem of data explosion and carry out dynamic diagnosis. Relational matrix analysis is used to solve the minimal cut set equation of the fault tree. Based on the established state equation of the Petri nets, initial tokens and enable-transfer algorithms are used to express the fault transfer process mathematically and improve the efficiency of fault diagnosis inferences. Finally, using a practical fault diagnosis example for the pantographs on CRH EMU trains, the proposed method is proved to be reasonable and effective.


2014 ◽  
Vol 133 (2-3) ◽  
pp. 305-322
Author(s):  
Matthias Werner ◽  
Louchka Popova-Zeugmann ◽  
Mario Haustein ◽  
E. Pelz

1998 ◽  
Vol 08 (01) ◽  
pp. 189-222 ◽  
Author(s):  
JENG S. HUANG ◽  
TADAO MURATA

This paper considers the Petri net reachability problem formulated in terms of nonnegative integer solutions of the state equation and their net representation systems. Our main contributions are twofold. First, we show that algorithms for finding legal transition sequences can be easily given for subclasses of Petri nets where reachability criteria are known or can be formulated by our method. Second, for the general reachability problem where reachability theorems or criteria are not known, and thus an exhaustive search for legal transition sequences is inevitable, we introduce the notion of non-crucial sequences to reduce the search effort.


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