Tanigawa, Y., Higuchi, M. and Kawamura, R. (2008) Dynamic and Quasi-Static Behaviors of Magneto-Thermo-Elastic Stresses in a Conducting Hollow Circular Cylinder Subjected to an Arbitrary Variation of Magnetic Field. International Journal of Mechanical Sciences, 50, 365-379.
https://doi.org/10.1016/j.ijmecsci.2007.11.001

has been cited by the following article:

• TITLE: Analysis of Thermo-Magneto-Elastic Nonlinear Dynamic Response of Shallow Conical Shells

  AUTHORS: Shende Cen, Jiachu Xu

  KEYWORDS: Thermo-Magneto-Elastic, Shallow Conical Shell, Nonlinear Dynamic Response, Galerkin Method

  JOURNAL NAME: Engineering, Vol.10 No.12, December 14, 2018

  ABSTRACT: The dynamic response study on thermo-magneto-elastic behavior of shallow conical shell in a time-dependent magnetic field is investigated, and the dynamic responses of displacement of shallow conical shell under mechanical loads, electromagnetic fields and temperature field coupling are analyzed. Based on Maxwell’s equations, heat conduction equation and nonlinear equations of classical plates and shells, the nonlinear dynamic response governing equations are derived. The electromagnetic field and temperature field equations are solved using variable separating technique, the nonlinear elastic field equations are solved by Galerkin method. The variation of temperature, magnetic field intensity and displacement with time under the coupling effect of the applied magnetic field and the surface uniform load were obtained. The influence of frequency of the applied magnetic field on the displacement wave forms is discussed.