Abstract
An exact method using power series expansions is presented for solving axisymmetric free vibration problems for shells of revolution having meridionally varying curvature. The govering equations of motion and the boundary conditions are derived from the stationary conditions of the Lagrangian of the shells of revolution. The method is demonstrated for shells of revolution having cycloidal, parabolical, elliptical, catenary and hyperbolical meridional curvature. The natural frequencies and the mode shapes are numerically calculated.
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Schedule a callMore From: Transactions of the Japan Society of Mechanical Engineers Series C
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