Identification of elastic edge condition for modeling vibration response of glass touch panel

Abstract

This paper deals with the vibration modeling of a glass panel, with emphasis on smartphone applications, and attempts to identify the elastic boundary condition to support the glass panel. This study is motivated to develop a more-efficient vibration function of the glass panel in smartphones. First, based on the classical plate theory, the vibration behavior is analyzed with consideration of the elastic translational and rotational springs distributed along the panel edge. The accuracy of applying the energy method (Ritz method) is verified by comparing the analytical results with the experimental results by a modal analysis technique, and it is shown that the plate theory used for crystalline materials (i.e. metals and plastics) is applicable also to the glass (non-crystalline) plates. Second, the elastic constants of such distributed springs are identified by a combination of the genetic algorithm and the present Ritz method, and the design approach is summarized for developing more effective use of the vibrating function on glass panels in the smartphones and other tablet terminals.