CYLINDRICAL-SHELL SUBJECT TO LOCAL LOADS APPLIED ON AN ARBITRARILY-SHAPED AREA

The problem of a cylindrical shell subject to local loads over an arbi trary shaped base is being analysed. Governing equations for the cylin drical shell are solved by the double Fourier series expansion techniq ue, yielding solutions for stresses and displacements in terms of Four ier load coefficients. The load coefficients are double integral funct ions, which have variable integral limits when the load has a non-rect angular base profile. To evaluate the load coefficients, two methods a re studied. In the first method, the discrete Fourier approximation te chnique is employed. In the second method, the double integral express ion is converted into a boundary line integral by means of Green's The orem. For a boundary with no analytical expression, it can be approxim ated by a series of line segments and integration is carried out along each line segment. The numerical integration is accomplished by the C lenshaw-Curtis quadrature rule. The boundary integral method is simple r and easier to implement in the computer than the discrete Fourier ap proximation method.