A method for detecting degenerate structures in planetary gear trains

Salgado, David Rodríguez; Castillo, José Manuel

doi:10.1016/j.mechmachtheory.2004.12.019

Cited by 33 publications

(24 citation statements)

References 9 publications

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“…As an example, consider the graph "9431Bf" mentioned in the catalog of Salgado and Del Castillo [7]. Figure 10a shows a possible representation due to Yang and Ding [11].…”

Section: Degeneracy Detection In Sdof Egtsmentioning

confidence: 99%

“…Salgado and Del Castillo [7] introduced the usage of circuit matrix carrying topological information of a graph representation of EGT proposed by them. In their representation, the links are clearly distinguished as sun/s, planet/s, and carrier/s.…”

Section: Introductionmentioning

confidence: 99%

“…The cut vertex divides the SDOF EGT graph into a degenerate structure and another component whose DOF is equal to 1. Further, Kamesh et al [8] applied their method to successfully point out a counterexample in the atlas given in [7]. A graph mentioned in [7] with code "9431Bf" was reported as nondegenerate, but Kamesh et al [8] applied their method to justify as otherwise.…”

Section: Introductionmentioning

confidence: 99%

“…The literature review revealed that, out of all the available methods for detecting degeneracy [6][7][8]11], barring the one given by Kamesh et al [8], the remaining methods have a common feature in that they are all based on analysis of different combinations of FCs in pursuit of at least one of them giving rise to a DOF equal to zero, so as to term the given EGT as degenerate. In this paper, we propose a different solution to this problem.…”

Section: Introductionmentioning

confidence: 99%

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Algorithms for detection of degenerate structure in epicyclic gear trains using graph theory

Shanmukhasundaram

Rao

Regalla

2019

J Braz. Soc. Mech. Sci. Eng.

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Machines, automobiles, robots, etc., usually employ epicyclic gear trains (EGTs) in their transmission systems. The graph theory-based representation of an EGT has enabled in the development of structural synthesis algorithms for enumerating all the feasible concepts in the form of non-isomorphic graphs. The enumerated EGTs are of importance to an EGT designer during the conceptual stage of design. One of the important steps in the structural synthesis is that of detection and elimination of those graphs that contain degenerate structure/s as subgraphs. In this work, graph theory-based methods are presented for the detection of degenerate EGT graphs among the enumerated collection. It is shown that the graph of any degenerate structure can be evolved to that of EGTs of single/multi-degree of freedom (SDOF/MDOF) through the addition of graph components thereby giving rise to degenerate EGTs. Through a series of statements, it is concluded that degenerate EGTs can be divided into two classes: those with one or more cut vertices and those without any cut vertex. A simple decomposition scheme is formulated which when applied to any EGT graph would determine whether or not it contains a degenerate structure. The proposed method is applied as a test for degeneracy in the structural synthesis of SDOF and MDOF EGTs, and the results for nondegenerate graphs are verified to be correct.

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“…As an example, consider the graph "9431Bf" mentioned in the catalog of Salgado and Del Castillo [7]. Figure 10a shows a possible representation due to Yang and Ding [11].…”

Section: Degeneracy Detection In Sdof Egtsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Algorithms for detection of degenerate structure in epicyclic gear trains using graph theory

Shanmukhasundaram

Rao

Regalla

2019

J Braz. Soc. Mech. Sci. Eng.

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“…As shown in Figure 1, the dynamic model of gear transmission system was built with normal state in ADAMS [17]. The gear transmission system was designed for doublestage driving.…”

Section: Based On Adams Dynamic Model Of Gear Tooth Broken-pittingmentioning

confidence: 99%

The Absolute Deviation Rank Diagnostic Approach to Gear Tooth Composite Fault

Wang

Deng

et al. 2017

Shock and Vibration

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Aiming at nonlinear and nonstationary characteristics of the different degree with single fault gear tooth broken, pitting, and composite fault gear tooth broken-pitting, a method for the diagnosis of absolute deviation of gear faults is presented. The method uses ADAMS, respectively, set-up dynamics model of single fault gear tooth broken, pitting, and composite fault gear tooth broken-pitting, to obtain the result of different degree of broken teeth, pitting the single fault and compound faults in the meshing frequency, and the amplitude frequency doubling through simulating analysis. Through the comparison with the normal state to obtain the sensitive characteristic of the fault, the absolute value deviation diagnostic approach is used to identify the fault and validate it through experiments. The results show that absolute deviation rank diagnostic approach can realize the recognition of gear single faults and compound faults with different degrees and provide quick reference to determine the degree of gear fault.

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