Citation: Yang, L.; Gobbi, M.;
Mastinu, G.; Previati, G.; Ballo, F.
Multi-Disciplinary Optimisation of
Road Vehicle Chassis Subsystems.
Energies 2022, 15, 2172. https://
doi.org/10.3390/en15062172
Academic Editor: Pablo
García-Triviño and Carlos Andrés
García-Vázquez
Received: 7 February 2022
Accepted: 11 March 2022
Published: 16 March 2022
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energies
Article
Multi-Disciplinary Optimisation of Road Vehicle
Chassis Subsystems
†
Liunan Yang
1,2,3
, Massimiliano Gobbi
1,
* , Gianpiero Mastinu
1
, Giorgio Previati
1
and Federico Ballo
1
1
Department of Mechanical Engineering, Politecnico di Milano, 20156 Milan, Italy; liunan.yang@polimi.it (L.Y.);
gianpiero.mastinu@polimi.it (G.M.); giorgio.previati@polimi.it (G.P.); federicomaria.ballo@polimi.it (F.B.)
2
Chongqing Changan Automobile Company, Chongqing 401120, China
3
College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China
* Correspondence: massimiliano.gobbi@polimi.it
† This paper is an extended version of the work presented by the same authors at the ASME 2019 International
Design Engineering Technical Conferences, Anaheim, CA, USA, 18–21 August, 2019; Paper no.:
DETC2019-97308.
Abstract: Two vehicle chassis design tasks were solved by decomposition-based multi-disciplinary
optimisation (MDO) methods, namely collaborative optimisation (CO) and analytical target cascad-
ing (ATC). A passive suspension system was optimised by applying both CO and ATC. Multiple
parameters of the spring and damper were selected as design variables. The discomfort, road holding,
and total mass of the spring–damper combination were the objective functions. An electric vehicle
(EV) powertrain design problem was considered as the second test case. Energy consumption and
gradeability were optimised by including the design of the electric motor and the battery pack layout.
The standard single-level all-in-one (AiO) multi-objective optimisation method was compared with
ATC and CO methods. AiO methods showed some limitations in terms of efficiency and accuracy.
ATC proved to be the best choice for the design problems presented in this paper, since it provided
solutions with good accuracy in a very efficient way. The proposed investigation on MDO methods
can be useful for designers, to choose the proper optimisation approach, while solving complex
vehicle design problems.
Keywords: multi-disciplinary optimisation; analytical target cascading; collaborative optimisation;
passive suspension; electric vehicle powertrain
1. Introduction
In the automotive field, multi-disciplinary design problems typically involve several
groups of experts. They are responsible for different performances and for designing
different subsystems that constitute the vehicle. The expert groups must interact during
the development process. Some groups are responsible for the design (e.g., the body,
the powertrain, the suspension system, etc.), while other groups are responsible for different
performance metrics (e.g., handling, safety, noise, vibration, and harshness (NVH), etc.).
Traditionally, the design process and the assessment of performance are divided into
parallel phases with intermediate synchronisation phases (usually “design review meeting”)
between the groups.
Although the traditional approach leads to a feasible design, it may not be the optimal
choice. The purpose of MDO is to obtain the optimal solution by taking several disciplines
into account simultaneously. In this way, the design groups can work in parallel and au-
tonomously [1,2]. The most common optimisation approach to handle the computationally
demanding simulation models involves the use of metamodels [1,3]. Metamodels need to
be created by the design groups before the optimisation process, and they offer an easy way
of distributing the design work. The single-level optimisation method, AiO, in combination
with metamodels, is the most straightforward way of implementing multi-disciplinary
Energies 2022, 15, 2172. https://doi.org/10.3390/en15062172 https://www.mdpi.com/journal/energies