Statical analayse of pivoteed paraboloid shell whit method of Kanthorovich-Tottenham

The pivoted shells are the surfaces that becomes with any curve's revolution around an axis. They're named curve rotated around the axis. For example, if a parabola rotated, the surface get the name "Pivoted paraboloid shell". It is possible to get the equations, using numerical techniques to solve the pivoted shells problems under varies loading types, from general balance equations. It's needed to change the (x,y) curved co-ordinates that is used as the axis group of general surface shell equations to (9,6) new axis group to explain the pivoted shells equations in a basic and understandable form. It's possible to solve the pivoted paraboloid shell problems with the method of Kanthorovich-Tottenham. The aim of method of Kanthorovich-Tottenham: - To reduce the differential equation set of a two dimensional body to an ordinary differential equation set by choosing one of the components of displacement functions which is generally two directions and using the minimisation process of energy. - By defining new functions to reduce three higher order ordinary differential equation set to eight first order ordinary differential equation set. - By the use of boundary conditions, to define So initial matrices. Here, to find S state matrices and then stress resultants and components of the displacements.Keywords: Pivoted paraboloid shell, Method of Kanthorovich-Tottenham