Nonlinear Deformation of a Pressure Diaphragm in Contact With a Piston

The problem of a shallow shell of revolution type diaphragm experiencing large deflections while being in contact with a centrally located piston is solved for some typical cases of pressure-displacement converter designs. The configuration and size of the contact area between diaphragm and piston is pressure dependent. Marguerres equations were assumed to be applicable and were solved by successive integration. The piston is assumed to be rigid, but supported by a linear spring.