redundant constraints
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2021 ◽  
Vol 71 (2) ◽  
pp. 213-220
Author(s):  
Protsenko Vladyslav ◽  
Babiy Mykhaylo ◽  
Nastasenko Valentyn ◽  
Protasov Roman

Abstract The structure of the MAK M43 diesel high pressure fuel pump driving is analyzed. It is shown that presence of redundant constraints in its mechanism is the reason of roller bearings failure. It is proposed redundant constraints elimination by adding movabilities in mechanism.


Author(s):  
Liusong Yang ◽  
Shifeng Xue ◽  
Wenli Yao

Redundancy in the constrained mechanical systems often occurs in complex multibody mechanic systems in the existence of excessive constraints and singular positions due to system motion. In this work, Gauss principle of least constraint (GPLC) is applied to solve the dynamic motion of system with redundant constraints without changing the physics of system. Furthermore, the particle swarm optimization method is used to handle the minimization optimization problem. Eventually, the effectiveness of GPLC is validated through the dynamic modelling and simulation of two numerical examples (a planar four-bar mechanism and a spatial parallelogram mechanism). The simulation results are analyzed and compared with those obtained from Udwaia-Phohomsiri formulation and augmented Lagrangian formulation, in terms of constraint violation, computational efficiency and variation of the mechanical energy. From the viewpoint of computational efficiency and accuracy, GPLC can be regarded as a practical real-time simulation method for multibody systems with redundant constraints.


Author(s):  
V.I. Pozhbelko

This paper examines a family of limiting structural and topological theorems complemented by two well-known Gruebler theorems that can be used for determining the limiting areas of existence of possible multibody mechanisms. All the multiloop linkage, cam and gear mechanisms synthesized using the proposed unified theory have the optimal structure without redundant constraints and uncontrolled movements.


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