均布载荷作用下带边缘大波纹膜片的非线性弯曲

采用轴对称旋转壳体的简化Reissner方程，研究了在均布载荷作用下具有硬中心的带边缘大波纹膜片的非线性弯曲问题．应用积分方程方法，获得了具有夹紧固定和滑动固定两种外边界的膜片的特征关系，即荷载-中心挠度曲线．作为算例，给出了夹紧固定膜片中的应力分布．

NONLINEAR BENDING OF CORRUGATED DIAPHRAGM WITH LARGE BOUNDARY CORRUGATION UNDER UNIFORM LOAD

By using the simplified Reissner's equation of axisymmetric shells of revolution, the nonlinear bending of a corrugated diaphragm with a large boundary corrugation and a non-deformable rigid body at the center under uniform load has been investigated. The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function. To solve the integral equations, a so-called interpolated parameter important to the prevention of divergence is introduced into the iterative format. According to the theory of thin shell, the total stress components of upper and lower surface, which are important in engineering, are calculated, after inner forces and displacements are acquired. Both cases of corrugated diaphragm with a rigid clamped edge and a loosely clamped edge are studied. Calculation sows that both characteristic curves of corrugated annular plate with a rigid clamped edge and with a loosely clamped edge are slightly different when load is small. The deflection associated with a loosely clamped edge is larger with increasing the load. Meridional total stress distributions of the upper and lower surface are approximately asymmetric about the middle surface, but circumferential total stress distributions of the upper and lower surface are not approximately asymmetric.