Implementation of a Finite Element Model for Gear Stress Analysis Based on Tie-Surface Constraints and Its Validation Through the Hertz's Theory

2017 ◽  
Vol 140 (2) ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Alfonso Fuentes-Aznar
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Stress Analysis ◽  
Element Model ◽  
Gear Drive ◽  
Bearing Contact ◽  
Stress Maximum ◽  
Bending Stresses ◽  
Gear Drives ◽  
Surface Constraints

A new finite element model for stress analysis of gear drives is proposed. Tie-surface constraints are applied at each tooth of the gear model to obtain meshes that can be independently defined: a finer mesh at contact surfaces and fillet and a coarser mesh in the remaining part of the tooth. Tie-surface constraints are also applied for the connection of several teeth in the model. The model is validated by application of the Hertz's theory in a spiral bevel gear drive with localized bearing contact and by observation of convergency of contact and bending stresses. Maximum contact pressure, maximum Mises stress, maximum Tresca stress, maximum major principal stress, and loaded transmission errors are evaluated along two cycles of meshing. The effects of the boundary conditions that models with three, five, seven, and all the teeth of the gear drive provide on the above-mentioned variables are discussed. Several numerical examples are presented.

A Finite Element Model for Consideration of the Torsional Effect on the Bearing Contact of Gear Drives

2012 ◽  
Vol 134 (7) ◽  
Author(s):  
Ignacio Gonzalez-Perez ◽  
Victor Roda-Casanova ◽  
Alfonso Fuentes ◽  
Francisco T. Sanchez-Marin ◽  
Jose L. Iserte
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Gear Tooth ◽  
Element Model ◽  
Element Analysis ◽  
Bearing Contact ◽  
Torque Transmission ◽  
Tooth Surfaces ◽  
Bending Stresses ◽  
Gear Drives

The finite element method is widely applied for the determination of contact and bending stresses in gear drives. It is based on the finite element model of the gear drive that is built by the discretization of the pinion and gear teeth and usually does not take into account the supporting components of the gears, as shafts, their bearings, or the gear case. Such components have an important influence in the formation of the bearing contact due to their deformations under load. Recently, some improved models have been proposed for finite element analysis of gear drives including their shafts. Those models have allowed shaft deflections to be taken into account for the investigation of formation of the bearing contact under load and its influence on bending and contact stresses. In this paper, an enhanced finite element model that takes into account not only the shaft deflections but also the torsional deformation of gear tooth surfaces due to torque transmission is proposed. Some numerical examples have been included.

scholarly journals A Novel Method for Tooth Bending Stress Calculation of Gears With Asymmetric Teeth

2021 ◽  
Author(s):  
Oguz DOGAN ◽  
Celalettin YUCE ◽  
Fatih KARPAT
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Experimental Studies ◽  
Element Model ◽  
Bending Stress ◽  
Element Analysis ◽  
Stress Calculation ◽  
Bending Stresses ◽  
New Equation ◽  
Asymmetric Factor

Abstract Today, gear designs with asymmetric tooth profiles offer essential solutions in reducing tooth root stresses of gears. Although numerical, analytical, and experimental studies are carried out to calculate the bending stresses in gears with asymmetric tooth profiles a standard or a simplified equation or empirical statement has not been encountered in the literature. In this study, a novel bending stress calculation procedure for gears with asymmetric tooth profiles is developed using both the DIN3990 standard and the finite element method. The bending stresses of gears with symmetrical profile were determined by the developed finite element model and was verified by comparing the results with the DIN 3990 standard. Using the verified finite element model, by changing the drive side pressure angle between 20° and 30° and the number of teeth between 18 and 100, 66 different cases were examined and the bending stresses in gears with asymmetric profile were determined. As a result of the analysis, a new asymmetric factor was derived. By adding the obtained asymmetric factor to the DIN 3390 formula, a new equation has been derived to be used in tooth bending stresses of gears with asymmetric profile. Thanks to this equation, designers will be able to calculate tooth bending stresses with high precision in gears with asymmetric tooth profile without the need for finite element analysis.

Stress Analysis of Laminated Glass under Uniform Lateral Pressure

2011 ◽  
Vol 418-420 ◽  
pp. 50-54
Author(s):  
Shi Hong Pang ◽  
Juan Rong Ma ◽  
Zhen Zhu Ma ◽  
Li Chuang Wang
Keyword(s):  
Finite Element ◽  
Shear Modulus ◽  
Finite Element Model ◽  
Stress Analysis ◽  
Lateral Pressure ◽  
Element Model ◽  
Maximum Principal Stress ◽  
Laminated Glass ◽  
Load Duration ◽  
Simulation Results

The shear modulus of PVB and SGP interlayer is analyzed. With the same conditions of load duration and temperature, the shear modulus of SGP interlayer is about fifteen times than that of PVB interlayer. A finite element model of laminated glass is established in this paper. The simulation results show that the maximum principal stress contours of PVB laminated glass change from a circular to a petal-shaped one and those of SGP laminated glass change form a quadrangular to a square-shaped one when the temperature rises from 20 degrees Celsius to 50 degrees Celsius.

Random Vibration Analysis of a Printed Wiring Board with Electronic Components

1991 ◽  
Vol 34 (1) ◽  
pp. 25-31
Author(s):  
Jack Roberts ◽  
Debra Stillo
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Random Vibration ◽  
Element Model ◽  
Printed Wiring Board ◽  
Electronic Components ◽  
Bending Stresses ◽  
Wiring Board ◽  
Element Technique ◽  
The Finite Element Model

A printed wiring board (PWB) with electronic components has been modeled using the finite element technique and compared with the same PWB experimentally tested in a chassis during a 2 hr random vibration test. Accelerometers were attached to the PWB in locations where nodes existed in the finite element model (FEM). The FEM predicted the first natural frequency to within 10 percent of the test results. Due to wedge locks that loosened during the test, the PWB accelerations in the finite element model and the test differed by as much as 40 percent. The ceramic capacitor on the PWB was modeled in detail with leads attached to the PWB to examine bending stresses in the leads. During the 2 hr test there were no failures for those leads with adequate solder joints. A failure did occur, however, on a lead with insufficient solder. A fatigue analysis of the FEM lead bending stresses indicated lead failure if no solder was used, whereas no failures were predicted for properly soldered leads.

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