In this work, we propose a design concept for an automotive display support structure that improves glass performance in a headform impact test. The main idea is a bilinear response of the structure under head impact loading conditions: it has high stiffness at low loading magnitudes and significantly lower stiffness at high loading magnitudes. Such a bilinear response improves the cover glass performance in the headform impact test without losing display functionality. I.e., the display is still stiff for its regular use, but it has capability to smoothly absorbs kinetic energy of the headform. To achieve the bilinear response, we propose to use a structure that elastically buckles under high loads. The main advantage of this approach is that there is no residual deformation and no need to rebuild the structure after the impact. The concept is evaluated by finite element modelling using the LS-DYNA explicit solver and compared with a typical structure used in the industry.