A Comprehensive Method for Computing Non-Linear Elastokinematic Properties of Passenger Car Suspension Systems: Double Wishbone Case Study

Paolo Magri, Marco Gadola, Daniel Chindamo, and Giulia Sandrini
ASME. J. Comput. Nonlinear Dyn. Oct 2024, 19(10): 101006
https://doi.org/10.1115/1.4066092​

Suspension and steering design play a major role in ensuring the correct dynamic behaviour of road vehicles. Passenger cars are especially demanding from this point of view: NVH and ride comfort requirements often collide with active safety-related requirements such as road holding in steady-state conditions and stability in transients. Driving pleasure is also important for market success, therefore accurate steering feedback and predictable handling properties are additional priorities.
Since flexible bushings are used as interface between the suspension arms and the chassis, extra degrees of freedom make the design process a complex task. While the use of a multibody software is common practice in the industry, a dedicated computational tool can be more practical and straightforward, especially when undertaking the design of a new suspension concept ground-up.
The paper presents a computational methodology for the design of an independent suspension with the associated kinematic and compliance attributes. Typical elastokinematic properties like toe, camber, wheelbase, and track variations vs tyre forces and moments can be computed by means of a dedicated software tool. A sort of validation was performed either by means of a comparison with a MathWorks Simscape® Multibody based model. Finally, a sensitivity analysis is given as an example.
Computationally, the method proposed is intuitively based on the equilibrium equations. The nonlinear equations are then solved with Newton-Raphson algorithm. The method can be also optimized for computational efficiency and is thoroughly described so that the reader can easily replicate it in the desired programming environment.

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