摘要
本文在正交曲线坐标系下从三维弹性理论的基本方程导出正交异性旋转壳体的状态方程．对旋转层合壳体，状态变量沿环向展开为Ｆｏｕｒｉｅｒ级数形式；沿子午线方向采用三次样条函数逼近；沿法向则由状态方程通过数值积分来确定．通过合理的引入边界条件，可对任意形状、任意边界的层合旋转壳体进行弯曲分析．与经典的数值方法相比，本文没有引入任何有关应力位移模式的假定，具有误差小、变量少。
From the foundational equations of three dimensional elastic theory,the state equations for rotational shell in ortho curve coordinate system were deduced.The state variables are,in circular direction,expanded as Fourier serials;in longitued direction,described with splines;and in normal direction,determinated by numerical integration.By the proper introduction of boundary condition,the general rotational shell can be analyzed.Compared with classic theory,no assumption of stress or displacement was given.The method has many advantages:higher precision,less variables and general adaption.
基金
国家自然科学基金
关键词
旋转层合壳
状态方程
状态含量
弯曲
rotational laminated shell
state equations
state variables
