The free vibration of curvilinearly stiffened shallow shells is investigated by the Ritz method. Based on the first-order shear deformation shell theory and three-dimensional (3D) curved beam theory, the strain and kinetic energies of the stiffened shells are introduced. The stiffener can be placed anywhere within the shell, without the need for having the stiffener and shell element nodes coincide. Numerical results with different geometrical shells and boundary conditions and different stiffener locations and curvatures are analyzed to verify the feasibility of the presented Ritz method for solving the problems. The results show good agreement with those using other methods, e.g., using a converged set of results obtained by Nastran.
Free Vibration of Curvilinearly Stiffened Shallow Shells
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 30, 2013; final manuscript received December 2, 2014; published online January 27, 2015. Assoc. Editor: Marco Amabili.
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Shi, P., Kapania, R. K., and Dong, C. Y. (June 1, 2015). "Free Vibration of Curvilinearly Stiffened Shallow Shells." ASME. J. Vib. Acoust. June 2015; 137(3): 031006. https://doi.org/10.1115/1.4029360
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