Session: 07-08-01: Multibody Dynamic Systems and Applications

Paper Number: 95181

95181 - On the Efficacy of Non-Holonomic Canonical Momentum Analysis of Constrained Multi-Body Mechanical Systems – Application in Ground Vehicle Double Wishbone Suspension Dynamics 

In this research, we aim to ascertain the practicability of generalized momentum canonical equations for non-holonomic rigid body systems by applying it to the modelling and simulation of a Double Wishbone suspension system dynamics. The generalized momentum canonical equations for non-holonomic systems is perhaps a new formalism in which the momenta are defined for Lagrangian or energy systems as well as projective d’Alembert systems. It is applied in generating a set of equations of motion that can be used to represent the nonlinear dynamics in a constrained mechanism.  The set of equations of motion are solved using Wolfram Mathematica’s NDsolve Algorithm. While simulation and animation are made from modelling a real-life scenario and verification of the model. The model of the Double Wishbone suspension system of a passenger car’s front drive is assumed to be planar, with four degrees of freedom. Degrees of freedom in the model are the roll rate of the model, the bounce of the model, and the angular displacement of each lower arm of the two Double Wishbone suspension. For simplicity of the model, this work employed generalized parameters to describe the geometric configuration of the Double Wishbone suspension system model.  The verification of the model’s accuracy mimicked the model’s response when the system is assumed to be initially stationary, with no polygenic force and moment but acting under the influence of the mass of the system of rigid bodies and gravitational force. Also, the accuracy of the model was tested by checking for the violation of the constraints in the graphical plots of the constraint loop in the model. The real-life scenario had the model excited in one of the four DOF -the roll rate of the model. Simulation results predicted the response of the vehicle dynamics in this event for a period. The results of the simulations are graphical plots of the total energy, constraint loop and generalized parameters like the bounce of the vehicle, the roll rate. Moreover, the projective momentum method provides accurate results and proves to be less computationally intensive. From this analysis, we can infer that the set of equations of motion formulated from the projective momentum method can accurately simulate the inherent nonlinear vehicle suspension dynamics behavior. Therefore, the generalized momentum canonical equation for constrained systems has the capability to be used for vehicle dynamics analysis and prediction that are necessary for understanding the complexities involved in ground vehicle ride and handling.

 

Keywords: Constrained mechanism, Multibody dynamics, Lagrangian systems, non-holonomic equation of motion.

Presenting Author: Oluwaseyi Olorunfemi University of Louisiana at Lafayette

Presenting Author Biography: Oluwaseyi Olorunfemi was born in Ilorin, Nigeria, and is a 2013 graduate of<br/>mechanical engineering from the University of Ilorin, Nigeria. She is married with a<br/>beautiful daughter. Her interest in dynamics and control was developed during her six years<br/>of working in the industry. This led her to begin her master’s degree in mechanical<br/>engineering, with Dr. Alan Barhorst as her advisor. She graduated with the aforementioned<br/>degree from the University of Louisiana at Lafayette in the fall of 2021. Oluwaseyi currently works as a Facilities Automation Engineer in Micron Technology , Boise Idaho.

Authors:

Oluwaseyi Olorunfemi University of Louisiana at Lafayette
Alan Barhorst University of Louisiana at Lafayette