Static response analysis of shallow spherical shell under local support of magnetorheological fluid (MRF)

Abstract

Shallow spherical shell is a typical engineering structure with excellent pressure bearing capacity. To resist the machining deformation induced by cutting loads, magnetorheological fluid (MRF) is adopted to support the shallow spherical shell. However, the static response of shallow spherical shell under MRF support has a close relationship with the applied magnetic field, which has not been characterized quantitatively and essentially. In this article, the static response model of shallow spherical shell under local MRF support was established. A numerical solution of the static response model was proposed. After solving the model, the relationship between the static response of shell and the magnetic field was quantitatively characterized. From comparison, the predicted deformation results using the developed model were consistent with the FE simulations and experiment tests. In engineering, the model can be used to ensure the thickness accuracy of shallow spherical shell.