Abstract:
A simplified and accurate semi analytical e numerical model is presented here to investigate the
behavior of cylinders of finite length subjected to partially distributed band load. A diaphragm supported
laminated cylinder under symmetric load which is considered as a two dimensional (2D) plane strain
problem of elasticity in (r, z) direction. The boundary conditions are satisfied exactly in axial direction (z)
by taking an analytical expression in terms of Fourier series expansion. Fundamental (basic) dependent
variables are chosen in the radial coordinate of the cylinder. First order simultaneous ordinary differential
equations are obtained as mathematical model which are integrated through an effective numerical
integration technique by first transforming the boundary value problem (BVP) into a set of initial
value problems (IVPs). The proposed method is successful in handling the 2D and three dimensional (3D)
elasticity problems involving wide range of loadings, material properties and mixed variables. For cylinders
subjected to band load, the convergence study is carried out and presented for different harmonics.
The numerical results obtained are also first validated with existing literature for their accuracy.
