Mathematical Modeling of Elastic Hysteresis Phenomenon in Round Plates in Presence of Residual Tension

Abstract

The phenomenon of elastic hysteresis arising in a round metal plate which is rigidly fixed on the edge under the influence of cyclic plate of external loading which is evenly distributed on a surface was modeled in the article. It was shown that saved-up residual deformation asymptotically strives with the increase in number of loading cycles for the value depending on initial internal potential energy of residual tension in plate material. The offered mathematical model can be used at the production of various pressure sensors in which a round metal plate is a sensitive element.