Node-to-surface contact algorithm for the calculation of the acoustic response

Abstract

Plates are omnipresent in many industrial machinery and structures, such as tanks and bridges. In industry, the impacted plates represent a significant noise source, often annoying. The models dealing with this research theme are generally limited in literature to one part of the problem. Indeed, some numerical developments have been established to simulate the noise an impacted plate generates without calculating the contact force. This one has always been either estimated by Hertz’s law or experimentally. In this paper, an IGA-based model allowing the prediction of the vibration and radiation of the impacted plate is described. In this model, the plate-sphere impact is introduced using a penalty method based on a physical node-to-surface contact algorithm within an isogeometric framework. Based on Bézier extraction of Bsplines, this model makes isogeometric analysis compatible with existing finite elements codes for node-to-surface contact. The only changes needed are limited to the shape function routine without any additional change in the contact formulation. This same discretization method should also extend the scope of this model to other contact formulations and contacting bodies of more complex geometries than has been done in this work.