The Finite Deflection of a Normally Loaded, Spinning, Elastic Membrane

16Ep/(3 + v)%pa*Q,*, nondimensional load parameter k/(l — (A), nondimensional load parameter for the equivalent solid disc normal pressure -(df/dZ)s = i radial variable radial deflection (Fig. la) y/z transverse deflection (l/v2e)(W/qa), modified nondimensional transverse deflection (1 i)/q singular point of Eq. (22) f/q, modified nondimensional stress function ( * i x) Q = (X M 2 ) / ( 1 M) = frequency of rotation about Z-axis