Multibody Dynamics Model of a Diesel Engine and Timing Gear Train With Experimental Validation

Author(s):  
Adam D. Foltz ◽  
Tamer M. Wasfy ◽  
Erik Ostergaard ◽  
Ilya Piraner

High-powered Diesel engines typically use a timing gear train to couple/synchronize the camshaft rotation with the crankshaft and also to drive the accessories such as the fuel and oil pumps. In this paper a high-fidelity multibody dynamics model of a 6-cylinder inline Diesel engine and its timing gear train is presented. The multibody system representing the system is modeled using rigid bodies, torsional springs, revolute joints, prismatic joints, and rotational/linear actuators. A penalty model is used to impose joint and normal contact constraints. The normal contact penalty stiffness and damping techniques are used to model gear tooth stiffness and damping. The contact model detects contact between discrete points on the surface of a gear tooth (master contact surface) and a polygonal surface representation of the mating gear tooth (slave contact surface). A recursive bounding box/bounding sphere contact search algorithm is used to allow fast contact detection. Time-varying forces are applied to the cylinders to model the cylinder pressure variations due to combustion events as a function of the crank angle. The governing equations of motion are solved along with joint/constraint equations using a time-accurate explicit solution procedure. The model is partially validated by comparing its predictions of the torsional vibrations of a Diesel engine’s crankshaft and moving parts to experimental measurements. Emphasis is given on the practicality of the modeling methods to industry.

Author(s):  
Tamer M. Wasfy ◽  
Michael Lee Stark

A high-fidelity multibody dynamics model for predicting the transient response of planetary gear trains is presented. The model supports an arbitrary number of gears, stages and arms. The model accurately accounts for the effects of gear tooth stiffness/damping/friction and tooth backlash. The multibody system representing the system is modeled using rigid bodies, revolute joints and rotational actuators. A penalty model is used to impose the joint and normal contact constraints. The normal contact penalty stiffness and damping are used to model the tooth stiffness and damping. The contact model detects contact between discrete points on the surface of a gear tooth (master contact surface) and a polygonal surface representation of the mating gear tooth (slave contact surface). A recursive bounding box/bounding sphere contact search algorithm is used to allow fast contact detection. An asperity friction model or an elasto-hydrodynamic lubrication model can be used for the contact friction forces. The governing equations of motion are solved along with joint/constraint equations using a time-accurate explicit solution procedure. The model is partially validated by comparing its predictions of the resonant frequencies of a planetary gear train to those of a previously published steady-state dynamic model. The model can help improve the design of planetary gear boxes including increasing the range of operating speeds, torque capacity and durability.


Author(s):  
Mehdi Mehrgou

Dynamic simulations of the engine valvetrain and detailed studies on the operating mechanisms have long been a centre of attention. In heavy duty diesel engines, heavier valvetrain parts lead to higher inertia force. On the other hand, the opening and closing of valves is very fast and high overlap in Valves lifts and necessity for increase the exhaust and inlet valve opening time by dwelling, individuates cam design basis of these engines, which cause to increase in inertia forces. A common practice in valvetrain dynamic analysis is to use rigid multibody dynamics model. However, some assumptions are to be considered to simplify the model, especially in attachments and joints. In this paper, an under development heavy duty medium speed diesel engine valvetrain system has been studied. The valvetrain mechanism has been modeled using ADAMS commercial software. The flexible valvetrain parts have been considered by means of Component Mode Synthesis (CMS) method. Instead of using simple joint assumption of rigid multibody dynamics model, contact has been employed to study the exact interaction between each two parts. In this method the clearances in the system could easily considered. The dynamic behavior of valvetrain has been investigated and the forces for the parts have been obtained and compared with rigid multibody dynamics model.


Author(s):  
Cagkan Yildiz ◽  
Tamer M. Wasfy

A time-accurate multibody dynamics model for predicting the transient response of toroidal traction drives is presented. The model can be used to predict the system’s transient response due to variations in the input speed, variations in the output load, and changing the speed ratio. The model supports half and full-toroidal configurations, multiple transmitters and multiple cavities. The multibody system representing the toroidal drive is modeled using rigid bodies, revolute joints and rotational actuators. A penalty model is used to impose the joint/contact constraints. The contact model detects contact between discrete points on the surface of the transmitter and an analytical surface representation of the input and output shafts’ toroidal surfaces. A recursive bounding sphere contact search algorithm is used to allow fast contact detection. An elasto-hydrodynamic lubrication model is used for the tangential contact traction forces between the transmitter and the toroid. The governing equations of motion are solved along with joint/constraint equations using a time-accurate explicit solution procedure. The model is partially validated by comparing to previously published steady-state models. The model can help improve the design of toroidal continuous-variable transmission systems including increasing the torque capacity and durability.


IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 32171-32187
Author(s):  
Shaoyang Qiu ◽  
Hongxiang Ren ◽  
Haijiang Li ◽  
Yi Zhou ◽  
Delong Wang

10.26879/338 ◽  
2013 ◽  
Vol 16 (2) ◽  
Author(s):  
Eric Snively ◽  
John R. Cotton ◽  
Ryan Ridgely ◽  
Lawrence M. Witmer

Author(s):  
Shahriar G. Ahmadi ◽  
Tamer M. Wasfy ◽  
Hatem M. Wasfy ◽  
Jeanne M. Peters

A high-fidelity multibody dynamics model for simulating a backhoe digging operation is presented. The backhoe components including: frame, manipulator, track, wheels and sprockets are modeled as rigid bodies. The soil is modeled using cubic shaped particles for simulating sand with appropriate inter-particle normal and frictional forces. A penalty technique is used to impose both joint and normal contact constraints (including track-wheels, track-terrain, bucket-particles and particles-particles contact). An asperity-based friction model is used to model joint and contact friction. A Cartesian Eulerian grid contact search algorithm is used to allow fast contact detection between particles. A recursive bounding box contact search algorithm is used to allow fast contact detection between polygonal contact surfaces. The governing equations of motion are solved along with joint/constraint equations using a time-accurate explicit solution procedure. The model can help improve the performance of construction equipment by predicting the actuator and joint forces and the vehicle stability during digging for various vehicle design alternatives.


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