A THEORETICAL BASIS FOR THE ANALYSIS OF LOGIX GEARS

A novel approach to gear design to produce so-called Logix gears is based on differential geometric methods and results in higher order contact parameters, i.e., reduced stress concentration. Profiles designed in this way admit concave-to-convex mating tooth surfaces and a simple two gear set with such properties is presented as an example. Once a pair of mating gears has been configured it is then shown how to design hobbing racks to cut these gears.

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The Higher Order Asymptotic Fields for Plane Interfacial Crack with Physical Weak-Discontinuity

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.217-218.1314 ◽

2011 ◽

Vol 217-218 ◽

pp. 1314-1318

Author(s):

Yao Dai ◽

Lei Zhang ◽

Peng Zhang ◽

Jun Feng Liu

Keyword(s):

Experimental Investigation ◽

Numerical Analysis ◽

Asymptotic Analysis ◽

Theoretical Basis ◽

Engineering Application ◽

Interfacial Crack ◽

Higher Order ◽

Weak Discontinuity ◽

Displacement Method ◽

Asymptotic Fields

The higher order discontinuous asymptotic fields which are similar to the Williams’ solutions of homogenous material are obtained by the displacement method and asymptotic analysis for a plane crack at the physical weak-discontinuous interface in non-homogeneous materials. The results provide a theoretical basis for the numerical analysis, experimental investigation and the engineering application of physical weak-discontinuous fracture.

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A novel approach for adaptive H∞ leader-following consensus of higher-order locally Lipschitz multi-agent systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125749 ◽

2021 ◽

Vol 395 ◽

pp. 125749

Author(s):

Ambreen Basheer ◽

Muhammad Rehan ◽

Muhammad Tufail ◽

Muhammad Ahsan Razaq

Keyword(s):

Higher Order ◽

Multi Agent Systems ◽

Agent Systems ◽

Novel Approach ◽

Locally Lipschitz ◽

Leader Following ◽

Multi Agent

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Higher Order Contact of Submanifolds of Homogeneous Spaces

10.1007/bfb0068415 ◽

1977 ◽

Cited By ~ 31

Author(s):

Gary R. Jensen

Keyword(s):

Homogeneous Spaces ◽

Higher Order ◽

Order Contact

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FINITE ELEMENT ANALYSIS OF FULL-LAYER REPAIR BASED ON IMPROVED ARTICULAR CARTILAGE MODEL

Journal of Mechanics in Medicine and Biology ◽

10.1142/s0219519419400669 ◽

2019 ◽

Vol 19 (08) ◽

pp. 1940066

Author(s):

MONAN WANG ◽

YUANXIN JI ◽

JIAN WANG ◽

JUNTONG JING

Keyword(s):

Elastic Modulus ◽

Articular Cartilage ◽

Stress Concentration ◽

Mechanical Behavior ◽

Theoretical Basis ◽

Clinical Pathology ◽

Mechanical State ◽

Element Analysis ◽

Simulation Results ◽

Selection Of

In this paper, the tangential zone of cartilage is introduced into the fiber-reinforced model of articular cartilage. Considering the distribution content of the main fiber and the secondary fiber in the tangential layer of cartilage, the permeability and fiber stiffness of the layer are set in parallel and perpendicular directions, respectively, to more accurately reflect the mechanical behavior of cartilage. The parameters are set to reflect the mechanical behavior of the cartilage more realistically. We use a modified articular cartilage model to simulate the mechanical properties of implanted cartilage with different elastic modulus. The simulation results show that the selection of implants with different elastic modulus will affect the repair of cartilage. Appropriately increasing the elastic modulus of implanted cartilage, can increase the bearing capacity of the repaired area and reduce the stress concentration at the junction. The elastic modulus of the implant should be moderate, not too large or too small, and the damage of stress concentration on the repair surface should be considered. Through simulation, the mechanical state of the repaired cartilage under pressure can be obtained comprehensively, which provides a theoretical basis for clinical pathology.

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A Novel Approach of Patrol Ship Configuration and Fleet Planning

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.744-746.1761 ◽

2015 ◽

Vol 744-746 ◽

pp. 1761-1766

Author(s):

Fu Bo Zhao ◽

Yang Wang ◽

Xin Lian Xie

Keyword(s):

Theoretical Basis ◽

Configuration Model ◽

Maritime Safety ◽

Fleet Planning ◽

Novel Approach ◽

Mathematical Relationships

Due to the lack of accurate and rational quantitative means as well as theoretical basis for patrol ship configuration, a patrol ship configuration model has been presented. To establish this configuration model, factors impacting patrol ship configuration were identified, mathematical relationships between these factors and patrol ship configuration amount were determined at the same time. Furthermore, the patrol ship configuration of Guangdong Maritime Safety Administration (GDMSA) had been taken as a case study. The result shows that GDMSA should be equipped with fewer patrol ships than it has currently.

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Optimization of Tooth Root Profile Using Bezier Curve with G2 Continuity to Reduce Bending Stress of Asymmetric Spur Gear Tooth

MATEC Web of Conferences ◽

10.1051/matecconf/201823703010 ◽

2018 ◽

Vol 237 ◽

pp. 03010 ◽

Cited By ~ 2

Author(s):

Priyakant Vaghela ◽

Jagdish Prajapati

Keyword(s):

Stress Concentration ◽

Gear Tooth ◽

Spur Gear ◽

Bézier Curve ◽

Bezier Curve ◽

Tooth Root ◽

Geometric Continuity ◽

Bending Stress ◽

Gear Design ◽

G2 Continuity

This research describes simple and innovative approach to reduce bending stress at tooth root of asymmetric spur gear tooth which is desire for improve high load carrying capacity. In gear design at root of tooth circular-filleted is widely used. Blending of the involute profile of tooth and circular fillet creates discontinuity at root of tooth causes stress concentration occurs. In order to minimize stress concentration, geometric continuity of order 2 at the blending of gear tooth plays very important role. Bezier curve is used with geometric continuity of order 2 at tooth root of asymmetric spur gear to reduce bending stress.

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A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Applied Sciences ◽

10.3390/app11188671 ◽

2021 ◽

Vol 11 (18) ◽

pp. 8671

Author(s):

Chang Liu ◽

Wankai Shi ◽

Lang Xu ◽

Kun Liu

Keyword(s):

Transmission Error ◽

Tooth Profile ◽

Tolerance Allocation ◽

Tooth Surface ◽

Gear Pair ◽

Eccentric Load ◽

Novel Approach ◽

Manufacturing Errors ◽

Tooth Surfaces ◽

Theoretical Analyses

Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.

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Feature Based Numerical Bearing Pattern Development and Optimization for Spiral-Bevel and Hypoid Gears

Volume 6: 8th International Power Transmission and Gearing Conference ◽

10.1115/detc2000/ptg-14394 ◽

2000 ◽

Author(s):

Claude Gosselin

Keyword(s):

Automobile Industry ◽

Control Parameters ◽

Hypoid Gear ◽

Hypoid Gears ◽

Novel Approach ◽

Tooth Surfaces ◽

Feature Based ◽

Pattern Development ◽

The Mean ◽

Spiral Bevel

Abstract A novel approach to the development of the bearing pattern for spiral-bevel and hypoid gears is presented. The numerical method uses the concept of “potential point of contact” to determine the shape of the separation between the meshing tooth surfaces in the vicinity of the Mean Point. Machine settings are used as control parameters in the numerical solution to modify the shape and location of the bearing pattern. The presented method, which has been used in the automobile industry for several years, allows substantial freedom in the development of spiral bevel and hypoid gear sets, even on conventional generators.

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