400 Commonwealth Drive, Warrendale, PA 15096-0001 U.S.A. Tel: (724) 776-4841 Fax: (724) 776-5760 SAE TECHNICAL PAPER SERIES 2000-01-3477 Directional Dynamics of a Partly-Filled Tank Vehicle Under Braking and Steering X. Kang, S. Rakheja and I. Stiharu CONCAVE Research Center, Concordia University Truck and Bus Meeting and Exposition Portland, Oregon December 4-6, 2000Downloaded from SAE International by Univ of Nottingham - Kings Meadow Campus, Friday, August 10, 2018The appearance of this ISSN code at the bottom of this page indicates SAE’s consent that copies of the paper may be made for personal or internal use of specific clients. This consent is given on the condition, however, that the copier pay a $7.00 per article copy fee through the Copyright Clearance Center, Inc. Operations Center, 222 Rosewood Drive, Danvers, MA 01923 for copying beyond that permitted by Sec- tions 107 or 108 of the U.S. Copyright Law. This consent does not extend to other kinds of copying such as copying for general distribution, for advertising or promotional purposes, for creating new collective works, or for resale. SAE routinely stocks printed papers for a period of three years following date of publication. Direct your orders to SAE Customer Sales and Satisfaction Department. Quantity reprint rates can be obtained from the Customer Sales and Satisfaction Department. To request permission to reprint a technical paper or permission to use copyrighted SAE publications in other works, contact the SAE Publications Group. No part of this publication may be reproduced in any form, in an electronic retrieval system or otherwise, without the prior written permission of the publisher. ISSN 0148-7191 Copyright 2000 Society of Automotive Engineers, Inc. Positions and opinions advanced in this paper are those of the author(s) and not necessarily those of SAE. The author is solely responsible for the content of the paper. A process is available by which discussions will be printed with the paper if it is published in SAE Transactions. For permission to publish this paper in full or in part, contact the SAE Publications Group. Persons wishing to submit papers to be considered for presentation or publication through SAE should send the manuscript or a 300 word abstract of a proposed manuscript to: Secretary, Engineering Meetings Board, SAE. Printed in USAAll SAE papers, standards, and selected books are abstracted and indexed in the Global Mobility DatabaseDownloaded from SAE International by Univ of Nottingham - Kings Meadow Campus, Friday, August 10, 201812000-01-3477 Directional Dynamics of a Partly-Filled Tank Vehicle under Braking and Steering X. Kang, S. Rakheja and I. Stiharu CONCAVE Research Center, Concordia University Copyright © 2000 Society of Automotive Engineers, Inc. ABSTRACT Dynamic behavior of a partly-filled liquid cargo vehicle subject to simultaneous application of cornering and braking maneuvers is investigated through computersimulation. A three-dimensional quasi-dynamic model ofa partly-filled tank of circular cross-section is developedand integrated into a comprehensive three-dimensional model of an articulated vehicle to study its directional response under varying steering and braking inputs, fillvolumes and road surface friction. The liquid loadmovement encountered under combined steering andbraking is expressed in terms of variations in theinstantaneous c.g. coordinates and mass moments of inertia of the liquid bulk, assuming negligible influence of fundamental slosh frequency and viscous effects. Thedynamic response characteristics of the partly-filled tankvehicle under braking and turning are presented in termsof resulting cargo load shift, moments induced by thecargo movement, load transfer ratio, yaw and roll response, and braking performance of the vehicle. The response characteristics of the partly-filled tank vehicleare compared with those of an equivalent rigid cargovehicle to demonstrate the impact of the liquid load sh