Basic Finite Element Formulation for Vibrating Axisymmetric Shells
This chapter deals with the free vibration analysis of SORs using the FE method. A family of variable-thickness, curved, C(0), MR axisymmetric FEs that include shear deformation and rotatory inertia effects is presented. The accuracy, convergence and efficiency of these newly developed elements are explored through a series of free-vibration analyses of axisymmetric shell structures and the results are compared with those obtained by other analytical and numerical methods. An interesting feature of the chapter is a brief study of the vibrational behaviour of church bells and a hand bell.
KeywordsFree Vibration Circular Plate Conical Shell Transfer Matrix Method Annular Plate
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