Multi-body Dynamics Based Gear Mesh Models for Prediction of Gear Dynamics and Transmission Error

2010 ◽  
Author(s):  
Zdenek Neusser ◽  
Martin Sopouch ◽  
Thomas Schaffner ◽  
Hans-Herwig Priebsch
Keyword(s):  
Transmission Error ◽  
Gear Dynamics ◽  
Gear Mesh ◽  
Body Dynamics ◽  
Multi Body ◽  
Mesh Models

Virtual Prototype Simulation and Transmission Error Analysis for RV Reducer

2015 ◽  
Vol 789-790 ◽  
pp. 226-230 ◽  
Author(s):  
Ying Hui Zhang ◽  
Zhuo Chen ◽  
Wei Dong He
Keyword(s):  
Transmission Error ◽  
Rate Acceleration ◽  
Adams Software ◽  
Body Dynamics ◽  
Rv Reducer ◽  
Acceleration Force ◽  
Rigid Model ◽  
Definition Of ◽  
And Function ◽  
Multi Body

Based on the multi-body dynamics theory, paper builds the virtue prototype of the RV reducer with Adams software. By apply the cycloid gear equation with modification to create the backlash between cycloid gear and the pin gear. Build the backlash model between eccentric shaft and bearing with definition of constraint and function method. By using the MNF file to consider the deformation of the cycloid, pin gear and planet carrier. The dynamic flexible-rigid model of the coupled RV reducer was established. Then output curves of rotation rate, acceleration, force and angle inaccuracy were conducted. Then change the value of the backlash and to study its effect on the transmission error.The simulation results of the RV reducer provides the foundation for the further study of the precision analysis.

The Multi-Body Dynamics Contact Simulation on Transmission Gears

2014 ◽  
Vol 989-994 ◽  
pp. 3037-3040
Author(s):  
Xiao He Deng
Keyword(s):  
Fourier Transform ◽  
Rigid Body ◽  
Simulation Model ◽  
Simulation Analysis ◽  
Rigid Body Dynamics ◽  
Gear Dynamics ◽  
Body Dynamics ◽  
Multi Body ◽  
Shift Gears

Based on the theory of gear dynamics and contact, the paper uses multi-rigid-body dynamics software ADAMS to build transmission simulation model. The model takes the highest shift gears of a transmission as objects to finish gear meshing simulation analysis. The corresponding meshing force and its Fourier transform results are acquired based on the analysis to get the transmission gears meshing properties.

Dynamics of Hypoid Gears With Emphasis on Effect of Shaft Rotation on Vibratory Response

2007 ◽  
Author(s):  
Tao Peng ◽  
Teik C. Lim
Keyword(s):  
Rotational Motion ◽  
Degrees Of Freedom ◽  
Transmission Error ◽  
Rotor System ◽  
Large Displacement ◽  
Small Displacement ◽  
Hypoid Gears ◽  
Gear Mesh ◽  
Vibratory Motion ◽  
Multi Body

The effect of large displacement rotational motion of the shafting system on the higher frequency, small displacement vibratory motion primarily excited by gear transmission error and variation of gear mesh stiffness is examined in this paper. Traditional hypoid gear dynamic analysis based on a pure vibration model assumes that the system perturbs about its mean position without coupling to the large displacement rotational motion. To improve on this approach and understanding of the influences of the dynamic interaction, a coupled multi-body dynamic and vibration simulation of the hypoid geared rotor system is performed. In the proposed formulation, a multi-degrees-of-freedom, multi-body hypoid geared rotor system dynamic model is developed to calculate the combined motion of the large displacement rotation of the shaft and small vibratory motion of the gear pair. The formulation may be generalized to other forms of gearing because hypoid gears have more complicated geometry and time-varying mesh characteristics when compared to parallel axis gears. Numerical simulation results are compared to those derived from the classical analytical method that only considers pure vibration effect. The proposed theory also provides new approaches to investigate both steady-state and transient geared rotor system dynamics.

scholarly journals Estimating maximum bite performance in Tyrannosaurus rex using multi-body dynamics

2012 ◽  
Vol 8 (4) ◽  
pp. 660-664 ◽  
Author(s):  
K. T. Bates ◽  
P. L. Falkingham
Keyword(s):  
Body Size ◽  
Feeding Behaviour ◽  
Ontogenetic Change ◽  
Positive Allometry ◽  
Musculoskeletal Models ◽  
Terrestrial Animal ◽  
Body Dynamics ◽  
Mode Of Life ◽  
Scaling Analyses ◽  
Multi Body

Bite mechanics and feeding behaviour in Tyrannosaurus rex are controversial. Some contend that a modest bite mechanically limited T. rex to scavenging, while others argue that high bite forces facilitated a predatory mode of life. We use dynamic musculoskeletal models to simulate maximal biting in T. rex . Models predict that adult T. rex generated sustained bite forces of 35 000–57 000 N at a single posterior tooth, by far the highest bite forces estimated for any terrestrial animal. Scaling analyses suggest that adult T. rex had a strong bite for its body size, and that bite performance increased allometrically during ontogeny. Positive allometry in bite performance during growth may have facilitated an ontogenetic change in feeding behaviour in T. rex , associated with an expansion of prey range in adults to include the largest contemporaneous animals.

Sir Robert Stawell Ball and methodologies of modern screw theory

2002 ◽  
Vol 216 (1) ◽  
pp. 1-11 ◽  
Author(s):  
H Lipkin ◽  
J Duffy
Keyword(s):  
Computational Geometry ◽  
Rigid Body ◽  
Lie Algebra ◽  
Screw Theory ◽  
Mechanical Design ◽  
Ball Screw ◽  
Dual Numbers ◽  
Body Dynamics ◽  
Rigid Body Mechanics ◽  
Multi Body

The theory of screws was largely developed by Sir Robert Stawell Ball over 100 years ago to investigate general problems in rigid body mechanics. Nowadays, screw theory is applied in many different but related forms including dual numbers, Plilcker coordinates and Lie algebra. An overview of these methodologies is presented along with a perspective on Ball. Screw theory has re-emerged after a hiatus to become an important tool in robot mechanics, mechanical design, computational geometry and multi-body dynamics.

Tanker Truck Sloshing Simulation Using Bi-Directionally Coupled CFD and Multi-Body Dynamics Solvers

2014 ◽  
Author(s):  
Michael S. Barton ◽  
David Corson ◽  
John Quigley ◽  
Babak Emami ◽  
Tanuj Kush
Keyword(s):  
Body Dynamics ◽  
Tanker Truck ◽  
Multi Body

Dynamic Analysis of Geared Rotor-Bearing Systems by the Transfer Matrix Method

1995 ◽  
Author(s):  
Siu-Tong Choi ◽  
Sheng-Yang Mau
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Vibration Analysis ◽  
Transmission Error ◽  
Mode Shapes ◽  
Rotor Systems ◽  
Gear Mesh ◽  
Mass Unbalance ◽  
Rotor Bearing

Abstract In this paper, an analytical study of the dynamic characteristics of geared rotor-bearing systems by the transfer matrix method is presented. Rotating shafts are modeled as Timoshenko beam with shear deformation and gyroscopic effects taken into account. The gear mesh is modeled as a pair of rigid disks connected by a spring-damper set and a transmission-error exciter. The transfer matrix of a gear mesh is developed. The coupling motions of the lateral and torsional vibration are studied. In free vibration analysis of geared rotor systems, natural frequencies and corresponding mode shapes, and the whirl frequencies under different spin speeds are determined. Effects of bearing stiffness, isotropic and orthotropic bearings, pressure angle of the gear mesh are studied. In steady-state vibration analysis, responses due to the excitation of mass unbalance and the transmission error are studied. Parametric characteristics of geared rotor systems are discussed.

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