The modal frequencies of an inner ring-stiffened cylindrical shell made of functionally graded materials (FGMs) were studied in this article. Firstly, the Mori-Tanaka model was employed to obtain the material properties of the separated and integrated stiffened FGMs cylindrical shell. Thereafter, the energy model due to free vibration of the inner ring stiffened FGMs cylindrical shell was derived based the third-order shear deformation theory. Subsequently, the principle of minimum potential energy of the cylindrical shell and the Rayleigh-Ritz method were used to derive the modal frequency equation of the inner ring stiffened FGMs cylindrical shell. And the validity of the derived frequency model was verified by case studies. Lastly, the effects of the design method, the number of stiffeners, and the stiffener location of the cylindrical shell were discussed. Results indicate that the separated stiffeners are less sensitive to temperature, but are more advantage to increase the modal frequencies of a cylindrical shell. The effects of stiffener numbers on the modal frequencies of a cylindrical shell are convergence. There is a matching relationship between the non-uniform position parameters of the stiffener and the geometric parameters of a cylindrical shell. The effects on the modal frequencies of a cylindrical shell are more complicated. The height of the stiffened section is more sensitive to the modal frequencies of a cylindrical shell than the width of the section.
刘超,刘文光,吕志鹏. 内环向加筋对功能梯度圆柱壳模态频率的影响[J]. 振动与冲击, 2021, 40(24): 255-262.
LIU Chao, LIU Wenguang, LYU Zhipeng. Effects of inner ring-stiffener on modal frequencies of a functionally graded cylindrical shell. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(24): 255-262.
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