VIBRATIONAL ANALYSIS OF CIRCULAR CYLINDER USING RITZ METHOD.

This study deals with free vibration analysis of circular cylinders. The analysis procedure uses of small-strain, linear elasticity theory. By considering algebraic polynomials multiplied by a boundary function to satisfy the geometric boundary conditions, the Ritz method is applied to derive the governing eigenvalue problem of cylinders. According to the axisymmetric geometrical property of circular cylinders, the vibration modes are divided into three categories viz, axisymmetric mode, torsional and flexural mode. Furthermore, for a cylinder with the same boundary conditions at the two ends, the vibration modes are classified into two types, viz anti-symmetric and symmetric modes. Finally, vibration frequencies of circular cylinders with free ? free boundary conditions are computed. The results are then compared with those presented in literature.