Research Papers

Sensitivity-Based, Multi-Objective Design of Vehicle Suspension Systems

[+] Author and Article Information
Alfonso Callejo

Universidad Politécnica de Madrid,
Madrid 28031, Spain
e-mail: alcallejo@gmail.com

Javier García de Jalón

Applied Mathematics Professor
Universidad Politécnica de Madrid,
Madrid 28031, Spain
e-mail: javier.garciadejalon@upm.es

Pablo Luque

Transport Engineering Professor
Ingeniería e Infraestructura de los Transportes,
Universidad de Oviedo,
Gijón 33204, Spain
e-mail: luque@uniovi.es

Daniel A. Mántaras

Transport Engineering Professor
Ingeniería e Infraestructura de los Transportes,
Universidad de Oviedo,
Gijón 33204, Spain
e-mail: mantaras@uniovi.es

1Present address: Research Scholar, National Institute for Aviation Research, Wichita State University, Wichita 67260, Kansas.

2Corresponding author.

Manuscript received January 15, 2014; final manuscript received October 17, 2014; published online February 11, 2015. Assoc. Editor: Rudranarayan Mukherjee.

J. Comput. Nonlinear Dynam 10(3), 031008 (May 01, 2015) (9 pages) Paper No: CND-14-1022; doi: 10.1115/1.4028858 History: Received January 15, 2014; Revised October 17, 2014; Online February 11, 2015

This article deals with the dynamic response optimization of mechanical systems, based on the computation of independent state sensitivities. Specifically, the dynamic behavior of a coach is analyzed in detail so as to improve its response in terms of handling and ride comfort behaviors. To that end, the coach is modeled as an 18DOF multibody system, whose equations of motion are posed using an efficient dynamic formulation based on Maggi's equations. Next, a direct-automatic differentiation approach for the computation of independent state sensitivities is applied. This allows one to quantify the effect of 19 design parameters on the vehicle dynamic response and to compute the design sensitivities or objective function gradients. Finally, handling and ride comfort objective functions are defined and are used to carry out a multi-objective suspension design optimization process, improving the vehicle response by 70% in an effective yet automatic way.

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Fig. 1

(a) Front and (b) rear suspension systems

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Fig. 2

(a) Air spring and (b) damper forces

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Fig. 3

(a) Steering function and lateral acceleration in the step steer test, (b) steering function in the DLC maneuver

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Fig. 6

Coach dynamic maneuvers: (a) DLC maneuver, (b) speed bumps test

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Fig. 5

Sensitivity of the vertical position with respect to the stiffness of the rear air springs in the speed-bumps maneuver (comfort)

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Fig. 4

Sensitivity of the roll angle with respect to the relaxed length of the rear air springs in the DLC maneuver (handling)

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Fig. 7

(a) Design variable and (b) objective function spaces

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Fig. 8

Objective functions history

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Fig. 9

Design parameter history

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Fig. 10

Initial versus optimized responses: (a) load transfer in the double lane-change maneuver, (b) vertical acceleration in the speed-bumps test




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