تحلیل دینامیکی پوسته استوانه ای مدرج تابعی(FGM) تقویت شده با روش هامیلتون و المان محدود

It is very important due to the wide application of shells in various industries such as aerospace, marine, biotechnology, etc., and on the other hand, the costs related to their construction and production, as well as the procurement of raw materials. The properties of FG cylindrical shell materials vary smoothly and continuously in thickness according to the power distribution law of the volume fraction Index of the components. The vibration behavior and governing equations of functionally graded reinforced cylindrical shell on elastic foundation are obtained using Hamilton's principle, first order shear deformation theory and finite element method. Numerical results are obtained to investigate the effect of various factors such as volume fraction distribution, length and thickness, different boundary conditions, stiffness coefficients and also the natural frequency of the dynamic responses of the FG cylindrical shell. Finally, the compatibility of analytical modeling results with commercial finite element software was checked, which showed a good agreement.