Dynamic Modeling and Analysis of Tooth Profile Modification for Multimesh Gear Vibration

2008 ◽  
Vol 130 (12) ◽  
Author(s):  
Gang Liu ◽  
Robert G. Parker
Keyword(s):  
Finite Element ◽  
Closed Form Solution ◽  
Form Solution ◽  
Tooth Profile ◽  
Modeling And Analysis ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Proposed Model ◽  
Nonlinear Analytical Model ◽  
The Individual

This work studies the effects of tooth profile modification on multimesh gearset vibration. The nonlinear analytical model considers the dynamic load distribution between the individual gear teeth and the influence of variable mesh stiffnesses, profile modifications, and contact loss. The proposed model yields better agreement than two existing models when compared against nonlinear gear dynamics from a finite element/contact mechanics benchmark. These comparisons are made for different loads, profile modifications, and bearing stiffness conditions. This model captures the total and partial contact losses demonstrated by finite element. Perturbation analysis based on the proposed model finds approximate frequency response solutions for the case of no total contact loss due to the optimized system parameters. The closed-form solution is compared with numerical integration and provides guidance for optimizing mesh phasing, contact ratios, and profile modification magnitude and length.

Static/Dynamic Contact Finite Element Analysis for Tooth Profile Modification of Helical Gears

2011 ◽  
Vol 86 ◽  
pp. 384-388
Author(s):  
Yong Jun Wu ◽  
Jian Jun Wang ◽  
Qin Kai Han
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Vibration Reduction ◽  
Dynamic Contact ◽  
Tooth Profile ◽  
Element Analysis ◽  
Helical Gears ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Static Contact

A precise approach for the tooth profile modification (TPM) of helical gear is presented in the paper based on the static contact finite element analysis (FEA). The high-precision finite element model of helical meshing gear pairs is established. The type and amount of TPM are accurately determined by the static contact FEA results. The dynamic contact simulations of helical gears with and without tooth modification are investigated to estimate the vibration reduction effect of the TPM. Moreover the numerical simulations are compared with the experimental results. Both results show that the proposed precise TPM of helical gears is effective on vibration reduction around the working load, and the dynamic contact simulation is effective on estimating the vibration reduction influence of the TPM.

Tooth Load Sharing in High-Contact Ratio Spur Gears

1985 ◽  
Vol 107 (1) ◽  
pp. 11-16 ◽  
Author(s):  
A. H. Elkholy
Keyword(s):  
Contact Stress ◽  
Applied Load ◽  
Normal Load ◽  
Closed Form Solution ◽  
Load Sharing ◽  
Form Solution ◽  
Spur Gears ◽  
Contact Ratio ◽  
Profile Modification ◽  
The Individual

A closed-form solution is presented for calculating the load sharing among meshing teeth in high contact ratio gearing (HCRG). The procedure is based upon the assumption that the sum of the tooth deflection, profile modification and spacing error at each of two or three pairs of contacts are all equal. It is also assumed that the sum of the normal loads contributed by each of two or three pairs of contacts is equal to the maximum normal load. Once the individual loads are determined, the tooth fillet stress, contact stress may be determined from the applied load and tooth geometry. An experimental example appears to verify the method.

scholarly journals Finite Element Analysis and Tooth Profile Modification Study on Traction Gear of High Speed and Heavy Load Locomotive

2015 ◽  
Vol 9 (1) ◽  
pp. 900-909
Author(s):  
Xiaochun Shi ◽  
Weidong He
Keyword(s):  
Finite Element ◽  
High Speed ◽  
Tooth Profile ◽  
Element Analysis ◽  
Heavy Load ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Parameterized Model ◽  
Design Requirements ◽  
Transmission Gear

Base on the characteristics of high-speed and heavy-load locomotive traction gear, a pre-grinding hob was designed which increased the thickness of the dangerous tooth root section as much as possible. The deformation and stress of the traction gears were calculated through the parameterized model established by finite element method. The tooth profile modification was implemented considering three locomotive working conditions including starting, sustain, and rapid operation. Finally, the related tests verified that the optimized transmission gear was in accordance the design requirements, the effect was good.

Finite Element Analysis for Tooth Profile Modification of Gear-Box of Tracklayer

2010 ◽  
Vol 156-157 ◽  
pp. 621-624
Author(s):  
Yan Wang ◽  
Ji Sheng Ma ◽  
Hui Yong Deng ◽  
Hai Ping Liu
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Contact Stress ◽  
Transmission Error ◽  
Tooth Profile ◽  
Element Analysis ◽  
Profile Modification ◽  
Tooth Profile Modification ◽  
Static Contact ◽  
Gear Box

The quasi-static contact finite element analysis of meshing gear of gear-box is computed by using MSC.Marc software, then transmission error and surface contact stress of meshing gear are computed in different tooth profile modification methods. Due to the large load fluctuation of tracklayer, the target of tooth profile modification is suggested, which is to minimize the peak value of tooth contact stress to the full, and not to increase the transmission error fluctuation of gear system.

Analytical and Numerical Studies of a Thick Anisotropic Multilayered Fiber-Reinforced Composite Pressure Vessel

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Isaiah Ramos ◽  
Young Ho Park ◽  
Jordan Ulibarri-Sanchez
Keyword(s):  
Finite Element ◽  
Pressure Vessel ◽  
Structural Damage ◽  
Three Dimensional ◽  
Closed Form Solution ◽  
Form Solution ◽  
Fiber Reinforced ◽  
Element Analysis ◽  
Analytical Results ◽  
Composite Pressure Vessel

In this paper, we developed an exact analytical 3D elasticity solution to investigate mechanical behavior of a thick multilayered anisotropic fiber-reinforced pressure vessel subjected to multiple mechanical loadings. This closed-form solution was implemented in a computer program, and analytical results were compared to finite element analysis (FEA) calculations. In order to predict through-thickness stresses accurately, three-dimensional finite element meshes were used in the FEA since shell meshes can only be used to predict in-plane strength. Three-dimensional FEA results are in excellent agreement with the analytical results. Finally, using the proposed analytical approach, we evaluated structural damage and failure conditions of the composite pressure vessel using the Tsai–Wu failure criteria and predicted a maximum burst pressure.

Validation of Nitinol SMA Characteristics Using Finite Element Analysis and Closed Form Solutions

2013 ◽  
Vol 856 ◽  
pp. 147-152
Author(s):  
S.H. Adarsh ◽  
U.S. Mallikarjun
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Fe Analysis ◽  
Element Analysis ◽  
Complex Behaviour ◽  
Closed Form Solutions

Shape Memory Alloys (SMA) are promising materials for actuation in space applications, because of the relatively large deformations and forces that they offer. However, their complex behaviour and interaction of several physical domains (electrical, thermal and mechanical), the study of SMA behaviour is a challenging field. Present work aims at correlating the Finite Element (FE) analysis of SMA with closed form solutions and experimental data. Though sufficient literature is available on closed form solution of SMA, not much detail is available on the Finite element Analysis. In the present work an attempt is made for characterization of SMA through solving the governing equations by established closed form solution, and finally correlating FE results with these data. Extensive experiments were conducted on 0.3mm diameter NiTinol SMA wire at various temperatures and stress conditions and these results were compared with FE analysis conducted using MSC.Marc. A comparison of results from finite element analysis with the experimental data exhibits fairly good agreement.

A Proposed Model for Predicting Clamp Load Loss Due to Gasket Creep Relaxation in Bolted Joints

2012 ◽  
Vol 134 (2) ◽  
Author(s):  
Basil A. Housari ◽  
Ali A. Alkelani ◽  
Sayed A. Nassar
Keyword(s):  
Joint Stiffness ◽  
Closed Form Solution ◽  
Load Level ◽  
Form Solution ◽  
Bolted Joints ◽  
Experimental Procedure ◽  
Proposed Model ◽  
Gasket Material ◽  
Improved Model ◽  
Over Time

An improved mathematical model is proposed for predicting clamp load loss due gasket creep relaxation in bolted joints, taking into consideration gasket behavior, bolt stiffness, and joint stiffness. The gasket creep relaxation behavior is represented by a number of parameters which has been obtained experimentally in a previous work. An experimental procedure is developed to verify the proposed model using a single-bolt joint. The bolt is tightened to a target preload and the clamp load loss due to gasket creep relaxation is observed over time under various preload levels. The experimental and analytical results are presented and discussed. The proposed model provides a prediction of the residual clamp load as a function of time, gasket material and thickness, bolt stiffness, and joint stiffness. The improved model can be used to simulate the behavior of creep relaxation in soft joints as the joint stiffness effect is considered. Additionally, a closed form solution is formulated to determine the initial clamp load level necessary to provide the desired level of a steady state residual clamp load in the joint, by taking the gasket creep relaxation into account.

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