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[...]... Transverse acceleration vector P relative to Q referred to frame 1 (GRF) Coriolis acceleration vector P relative to Q referred to frame 1 (GRF) Sliding acceleration vector P relative to Q referred to frame 1 (GRF) Lateral acceleration gain Stiffness factor (‘Magic Formula’) Transformation matrix from frame Oe to On Bottom Kingpin Marker Bump Movement Brake torque Shape factor (‘Magic Formula’) Compliance matrix... parallel to frame 1 (GRF) Position vector of frame j on part j resolved parallel to frame 1 (GRF) Loaded tyre radius Position vector for part n resolved parallel to frame 1 (GRF) Position vector of tyre contact point P relative to frame 1, referenced to frame 1 Unloaded tyre radius Position vector of wheel centre relative to frame 1, referenced to frame 1 Position vector of point A relative to mass... able to demonstrate that competitive vehicles in that class also failed the test was barely noticed By that stage the damage had already been done 2 Multibody Systems Approach to Vehicle Dynamics It seems to the authors there are two camps for addressing the vehicle dynamics problem In one is the practical ride and handling expert Skilled at the driving task and able to project themselves into the... vehicle controls as part of a closed-loop feedback system to impart the yaw moments required to control the yaw rate of the vehicle At critical times, the workload of the driver may exceed his or her capability, resulting in a loss of control 10 Multibody Systems Approach to Vehicle Dynamics The goal of vehicle dynamics work is to maintain the vehicle behaviour within the bounds that can be comprehended... with a signal -to noise approach Chapter 8 concludes with a review of the use of active systems to modify the dynamics in modern passenger cars The use of electronic control in systems such as active suspension and variable damping, brake-based systems, active steering systems, active camber systems and active torque distribution is described A final summary matches the application of these systems with... past and refers to the practice of considering functional, cost and manufacturing issues together rather than the historically derived ‘sequential’ approach It was also referred to as ‘simultaneous engineering’ for a while, though the segmented connotations of simultaneous were considered unhelpful and so the ‘concurrent’ epithet was adopted 12 Multibody Systems Approach to Vehicle Dynamics Aspiration:... Unit vector along z-axis of marker I resolved parallel to frame 1 (GRF) Unit vector along z-axis of marker J resolved parallel to frame 1 (GRF) Area Convective area of brake disc Euler matrix for part n Acceleration vector for part n resolved parallel to frame 1 (GRF) Centripetal acceleration Centripetal acceleration vector P relative to Q referred to frame 1 (GRF) Transverse acceleration vector P relative... relative to J marker Wheel Base Marker Wheel Centre Marker Wheel Front Marker Wheel Recession Position vector of a point in a marker xz plane Unit vector acting at tyre contact point in XSAE direction referenced to frame 1 Vehicle side force with respect to yaw rate Vehicle side force with respect to lateral velocity Yaw rate gain Unit vector acting at tyre contact point in YSAE direction referenced to frame... Position vector of marker I relative to frame i resolved parallel to frame 1 (GRF) Position vector of marker J relative to frame j resolved parallel to frame 1 (GRF) Coupler constraint scale factors Front track Rear track Centre of gravity (Wenzel model) Longitudinal velocity (Wenzel model) Lateral velocity (Wenzel model) Unit vector along x-axis of marker I resolved parallel to frame 1 (GRF) Unit vector along... the Mercedes A-Class (courtesy of Auto Motor und Sport) Fig 1.2 1957 Chevrolet Bel-Air convertible Introduction 3 subsequent ‘classical’ vehicle dynamic analysis and forms a firm foundation upon which to build It is rare for an expert from this camp to be part of the downstream vehicle development process 1.2 What is vehicle dynamics? The field known as vehicle dynamics is concerned with two aspects . alt="" Multibody Systems Approach to Vehicle Dynamics This page intentionally left blank Multibody Systems Approach to Vehicle Dynamics Michael Blundell Damian Harty AMSTERDAM BOSTON HEIDELBERG. to Q referred to frame 1 (GRF) {A c PQ } 1 Coriolis acceleration vector P relative to Q referred to frame 1 (GRF) {A s PQ } 1 Sliding acceleration vector P relative to Q referred to frame 1 (GRF) AyG. referenced to frame 1 {R AG } n Position vector of point A relative to mass centre G resolved parallel to frame n {R BG } n Position vector of point B relative to mass centre G resolved parallel to frame