Shopa T. Vibration of the orthotropic cylindrical shells and plates with cutouts and inclusions

Stress-strain state and natural frequencies of the vibration of orthotropic cylindrical shells and plates with cutouts and inclusions. Methods of calculus, equations in partial derivatives, integral equations, theory of functions and numerical optimization are used in the thesis. Equations of vibration of orthotropic cylindrical shells and plates with the assumption of neglectably small rotation angles around the normal to the middle surface taking into consideration the shear deformations are built. The problem statements of the vibration of orthotropic simply supported cylindrical shells and plates with cutouts and massive rigid inclusions are made. Method of boundary integral equations for the solution of boundary value problems in double-connected domains using the Green functions that are found on the base of sequential representation of the delta-function is developed. The numerical schemes of the solution of integral equations using collocation method are built and are used for the numerical investigations. Realm of application: mechanical engineering.