Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures

In the context of suspension design, the installation ratio (or motion ratio) is a parameter that relates wheel movement with spring deflection, quite an important kinematic property of a suspension. Yet, no study in the literature provides a clear relationship between the installation ratio and the...

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Main Authors: Francesco Bucchi, Basilio Lenzo
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Actuators
Subjects:
Online Access:https://www.mdpi.com/2076-0825/11/8/229
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author Francesco Bucchi
Basilio Lenzo
author_facet Francesco Bucchi
Basilio Lenzo
author_sort Francesco Bucchi
collection DOAJ
description In the context of suspension design, the installation ratio (or motion ratio) is a parameter that relates wheel movement with spring deflection, quite an important kinematic property of a suspension. Yet, no study in the literature provides a clear relationship between the installation ratio and the geometrical features of a suspension. This paper employs rigid body kinematics and appropriate geometrical schematics to fill such a gap. Analytical expressions of the installation ratio are derived for three suspension layouts: swing axle, McPherson, double wishbone. Key concepts such as instant center, roll center and camber gain are harnessed to provide insightful analyses for relevant case studies of suspension passenger cars. Among the key results, the typical assumption of a McPherson installation ratio close to 1 is supported by a formal demonstration, and the new concept of “lateral” installation ratio is introduced which, alongside the classical “vertical” installation ratio, further characterizes suspension motion. Numerical results obtained through a multibody software support the findings of this paper. In conclusion, this study provides valuable insights for suspension design engineers.
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spelling doaj.art-aed6644ce517460f80b33860413060612023-11-30T22:59:13ZengMDPI AGActuators2076-08252022-08-0111822910.3390/act11080229Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension ArchitecturesFrancesco Bucchi0Basilio Lenzo1Department of Civil and Industrial Engineering, University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, ItalyDepartment of Industrial Engineering, University of Padova, Via Venezia 1, 35121 Padua, ItalyIn the context of suspension design, the installation ratio (or motion ratio) is a parameter that relates wheel movement with spring deflection, quite an important kinematic property of a suspension. Yet, no study in the literature provides a clear relationship between the installation ratio and the geometrical features of a suspension. This paper employs rigid body kinematics and appropriate geometrical schematics to fill such a gap. Analytical expressions of the installation ratio are derived for three suspension layouts: swing axle, McPherson, double wishbone. Key concepts such as instant center, roll center and camber gain are harnessed to provide insightful analyses for relevant case studies of suspension passenger cars. Among the key results, the typical assumption of a McPherson installation ratio close to 1 is supported by a formal demonstration, and the new concept of “lateral” installation ratio is introduced which, alongside the classical “vertical” installation ratio, further characterizes suspension motion. Numerical results obtained through a multibody software support the findings of this paper. In conclusion, this study provides valuable insights for suspension design engineers.https://www.mdpi.com/2076-0825/11/8/229installation ratiomotion ratiosuspension kinematicsMcPhersondouble wishboneswing axle
spellingShingle Francesco Bucchi
Basilio Lenzo
Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures
Actuators
installation ratio
motion ratio
suspension kinematics
McPherson
double wishbone
swing axle
title Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures
title_full Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures
title_fullStr Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures
title_full_unstemmed Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures
title_short Analytical Derivation and Analysis of Vertical and Lateral Installation Ratios for Swing Axle, McPherson and Double Wishbone Suspension Architectures
title_sort analytical derivation and analysis of vertical and lateral installation ratios for swing axle mcpherson and double wishbone suspension architectures
topic installation ratio
motion ratio
suspension kinematics
McPherson
double wishbone
swing axle
url https://www.mdpi.com/2076-0825/11/8/229
work_keys_str_mv AT francescobucchi analyticalderivationandanalysisofverticalandlateralinstallationratiosforswingaxlemcphersonanddoublewishbonesuspensionarchitectures
AT basiliolenzo analyticalderivationandanalysisofverticalandlateralinstallationratiosforswingaxlemcphersonanddoublewishbonesuspensionarchitectures