scholarly journals A Novel Method for Predicting Fault Labels of Roller Bearing by Generalized Laplacian Matrix

IEEE Access ◽  
2020 ◽  
pp. 1-1
Author(s):  
Jiawei Gu ◽  
Yanxue Wang ◽  
Chaofan Hu ◽  
Zexi Luo
Keyword(s):  
Roller Bearing ◽  
Laplacian Matrix ◽  
Novel Method ◽  
Generalized Laplacian

A Novel Method to Compute the Elastic Approach of a Hollow Roller

2018 ◽  
Vol 140 (4) ◽  
Author(s):  
Yankui Liu
Keyword(s):  
Roller Bearing ◽  
Strong Relationship ◽  
Data Fitting ◽  
Fe Model ◽  
Basic Building Block ◽  
Flat Plates ◽  
Bending Deformation ◽  
Novel Method ◽  
Bearing Design ◽  
New Equation

The elastic approach of a w roller compressed by two flat plates is a basic building block in roller bearing design. According to the theory of contact mechanics, a finite element (FE) model was established in this paper to study the contact problem of a hollow roller. Research results show that deformation of the hollow roller due to contact has a strong relationship with roller's hollowness ratio. A new equation for calculating the contact deformation of a hollow roller is proposed. In addition, it is found that the accuracy of existing calculation method for bending deformation is also worth studying, and a new equation for calculating bending deformation of a hollow roller is established by data fitting. The experimental results are also presented to support the results of this work.

scholarly journals Small clique number graphs with three trivial critical ideals

2018 ◽  
Vol 6 (1) ◽  
pp. 122-154 ◽  
Author(s):  
Carlos A. Alfaro ◽  
Carlos E. Valencia
Keyword(s):  
Laplacian Matrix ◽  
Clique Number ◽  
Critical Group ◽  
Characteristic Polynomials ◽  
Laplacian Matrices ◽  
Determinantal Ideals ◽  
Invariant Factors ◽  
Generalized Laplacian

Abstract The critical ideals of a graph are the determinantal ideals of the generalized Laplacian matrix associated to a graph. Previously, they have been used in the understanding and characterizing of the graphs with critical group with few invariant factors equal to one. However, critical ideals generalize the critical group, Smith group and the characteristic polynomials of the adjacency and Laplacian matrices of a graph. In this article we provide a set of minimal forbidden graphs for the set of graphs with at most three trivial critical ideals. Then we use these forbidden graphs to characterize the graphs with at most three trivial critical ideals and clique number equal to 2 and 3.

A novel method to model effects of natural defect on roller bearing

2018 ◽  
Vol 122 ◽  
pp. 169-178 ◽  
Author(s):  
Yuwei Liu ◽  
Yongsheng Zhu ◽  
Ke Yan ◽  
Fangzhe Wang ◽  
Jun Hong
Keyword(s):  
Roller Bearing ◽  
Novel Method

scholarly journals Clustering Vertex-Weighted Graphs by Spectral Methods

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2841
Author(s):  
Juan-Luis García-Zapata ◽  
Clara Grácio
Keyword(s):  
Spectral Methods ◽  
Laplacian Matrix ◽  
Weighted Graphs ◽  
Zero Eigenvalue ◽  
Spectral Techniques ◽  
Minimal Cut ◽  
Generalized Laplacian

Spectral techniques are often used to partition the set of vertices of a graph, or to form clusters. They are based on the Laplacian matrix. These techniques allow easily to integrate weights on the edges. In this work, we introduce a p-Laplacian, or a generalized Laplacian matrix with potential, which also allows us to take into account weights on the vertices. These vertex weights are independent of the edge weights. In this way, we can cluster with the importance of vertices, assigning more weight to some vertices than to others, not considering only the number of vertices. We also provide some bounds, similar to those of Chegeer, for the value of the minimal cut cost with weights at the vertices, as a function of the first non-zero eigenvalue of the p-Laplacian (an analog of the Fiedler eigenvalue).

The removal and morphology of intact biofilms from implanted venous access devices

1995 ◽  
Vol 53 ◽  
pp. 1020-1021
Author(s):  
M.A. Gregory ◽  
G.P. Hadley
Keyword(s):  
Patient Selection ◽  
Surgical Oncology ◽  
Venous Access ◽  
Common Procedure ◽  
Indwelling Catheters ◽  
Careful Patient ◽  
Novel Method ◽  
The Subject ◽  
Vascular Catheters ◽  
Venous Access Devices

The insertion of implanted venous access systems for children undergoing prolonged courses of chemotherapy has become a common procedure in pediatric surgical oncology. While not permanently implanted, the devices are expected to remain functional until cure of the primary disease is assured. Despite careful patient selection and standardised insertion and access techniques, some devices fail. The most commonly encountered problems are colonisation of the device with bacteria and catheter occlusion. Both of these difficulties relate to the development of a biofilm within the port and catheter. The morphology and evolution of biofilms in indwelling vascular catheters is the subject of ongoing investigation. To date, however, such investigations have been confined to the examination of fragments of biofilm scraped or sonicated from sections of catheter. This report describes a novel method for the extraction of intact biofilms from indwelling catheters.15 children with Wilm’s tumour and who had received venous implants were studied. Catheters were removed because of infection (n=6) or electively at the end of chemotherapy.

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