Predicting Protein Hinge Motions and Allostery Using Rigidity Theory

2011 ◽  
Author(s):  
Adnan Sljoka ◽  
Alexandr Bezginov ◽  
Ilias Kotsireas ◽  
Roderick Melnik ◽  
Brian West
Keyword(s):  
Rigidity Theory

scholarly journals Modeling and calculation of hydromechanical systems dynamics based on the volume rigidity theory

2018 ◽  
Vol 226 ◽  
pp. 01001 ◽  
Author(s):  
Alexander T. Rybak ◽  
Mikhail P. Shishkarev ◽  
Alexander A. Demyanov ◽  
Viktor P. Zharov
Keyword(s):  
Numerical Experiment ◽  
Hydraulic System ◽  
Shock Absorber ◽  
Rigidity Theory ◽  
Hydraulic Systems ◽  
Functional Parameters ◽  
Working Medium ◽  
Drive Systems ◽  
Volume Rigidity

A method for modeling hydraulic systems of hydromechanical devices based on the application of the volume rigidity theory - the property of the hydraulic system to keep its volume unchanged when the pressure of the working medium changes is proposed. The main analytical dependencies intended for modeling the hydraulic system are presented. An example of simulation and calculation of a hydromechanical shock absorber system which confirms the correctness and convenience of using the volume rigidity theory in modeling hydromechanical drive systems of complex machines is presented. The results of the numerical experiment make it possible to evaluate the functioning quality of the drive system under investigation to reveal the effect of the main design and system functional parameters on its operation. The graphs of the change in the main functional parameters of the shock absorber under investigation in real time are given, which make it possible to visually evaluate the results of a numerical experiment and draw conclusions about the need for modernization.

scholarly journals A DESIGN METHOD FOR OPTIMAL TRUSS STRUCTURES WITH REDUNDANCY BASED ON COMBINATORIAL RIGIDITY THEORY

2014 ◽  
Vol 79 (699) ◽  
pp. 583-592
Author(s):  
Rie KOHTA ◽  
Makoto YAMAKAWA ◽  
Naoki KATOH ◽  
Yoshikazu ARAKI ◽  
Makoto OHSAKI
Keyword(s):  
Design Method ◽  
Truss Structures ◽  
Rigidity Theory ◽  
Combinatorial Rigidity

Applying Rigidity Theory Methods for Topological Decomposition and Synthesis of Gear Train Systems

2012 ◽  
Author(s):  
Maria Terushkin ◽  
Offer Shai
Keyword(s):  
Synthesis Method ◽  
Building Blocks ◽  
The Body ◽  
Computational Method ◽  
Gear Train ◽  
Graph Representation ◽  
Rigidity Theory ◽  
Graph Representations ◽  
Machine Theory ◽  
Gear Trains

This paper introduces a novel way to augment the knowledge and methods of rigidity theory to the topological decomposition and synthesis of gear train systems. A graph of gear trains, widely reported in the literature of machine theory, is treated as a graph representation from rigidity theory—the Body-Bar graph. Once we have this Body-Bar graph, methods and theorems from rigidity theory can be employed for analysis and synthesis. In this paper we employ the pebble-game algorithm, a computational method which allows determination of the topological mobility of mechanisms and the decomposition of gear trains into basic building blocks—Body-Bar Assur Graphs. Once we gain the ability to decompose any gear train into standalone components (Body-Bar Assur Graphs), this paper suggests inverting the process and applying the same method for synthesis. Relying on rigidity theory operations (Body-Bar extension, in this case), it is possible to construct all of the Body-Bar Assur Graphs, meaning the building blocks of gear trains. Once we have these building blocks at hand, it is possible to recombine them in various ways, providing us with a topological synthesis method for constructing gear trains. This paper also introduces a transformation between the Body-Bar graph and other graph representations used in mechanisms, thus leaving room for the application of the proposed synthesis and decomposition method directly to known graph representations already used in machine theory.

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