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# The importance of torsion stiffness in chassis design

22 March 2016

by P. Lafortune, IDRA Simulation

Torsion stiffness is a very important characteristic in chassis design. A stiff chassis has more “cornering” torque and the suspension can handle it more easily. This news presents results of a torsion test performed at Idra Simulation using Code_Aster.
To perform the test, a simplified model using beam elements is first built. The loads are applied at the front suspension mounting points, while the displacements are fixed at the rear suspension. To have a realistic distribution of loads, a-arms, kingpin and springs are represented by truss elements.

 Figure 1 : Simplified model of chassis using beam elements

Such simple model is not only useful to estimate and compare different design; it can also be used to obtain detailed results on a region of interest by using the sub-modeling technique.
To do so, the displacements calculated at a certain location inside the beam model are specified as boundary conditions for the solid sub-model.
This technique is based on Saint Venant’s principle, which states that if an actual distribution of forces is replaced by a statically equivalent system, the distribution of stress is altered only near the region of load application [1].
So let us say we want a more accurate estimation of the stresses on the upper part of the roll cage. We first “cut” the structure in the middle of the roll cage to retrieve the displacements at those nodes. Then, we apply those values on the solid element model.

 Figure 2 : Beam model (deformed and original) and deformed solid elements model
 Figure 3 : Stress in local x direction for the beam model (includes contribution of normal force and bending moments))
 Figure 4 : Von Mises stress of the solid element model)

Since the beam elements have translations and rotations degrees of freedom, those values cannot be applied directly on the solid elements. For this reason, a node is created at the center of the cut tubes, and rigid beams link it to the solid structure. That way, translations and rotations, can be applied.

 Figure 5 : Rigid links in the solid model used to apply the displacements coming from the beam model)

[1] Mac Donald. Practical Stress Analysis with Finite Element. Glasnevin Publishing, 2011.