Thermal vibration of magnetostrictive functionally graded material shells by considering the varied effects of shear correction coefficient

• Thermal vibration with varied shear correction is computed by using GDQ method.
• Magnetostrictive FGM thick circular cylindrical shell is studied.
• First-order shear deformation theory is used.
• Thermal stresses and center deflections are obtained.

This paper investigates the thermal vibration of magnetostrictive functionally graded material (FGM) cylindrical shells by using the generalized differential quadrature (GDQ) method based on the first-order shear deformation theory (FSDT). The varied effects of shear correction coefficient are employed and obtained by using the total strain energy principle. The computed and varied values of shear correction coefficient are usually functions of magnetostrictive layer thickness, FGM power law index and environment temperature. In the thermo-elastic stress–strain relations, the simpler form stiffness of FGM shells and the effect of the magnetostrictive coupling terms with velocity feedback control under linear temperature rise are considered. The effects of magnetostrictive layer thickness, control gain values, environment temperature and FGM power law index on the thermal vibration of magnetostrictive FGM thick cylindrical shells are obtained and analyzed.