摘要
基于线弹性小变形理论， 利用Ｆｏｕｒｉｅｒ级数展开、Ｌａｐｌａｃｅ 变换和摄动方法， 建立了复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。构造了复杂边界条件、中间带支撑、变锥度及阶梯变厚度圆锥壳的传递函数解。数值计算结果表明该方法具有很高的计算精度。
In this paper, based on linear elastic and small deformation theory, an asymptotic distributed transfer function method (TFM) is presented for static deformation, free vibration and buckling analysis of isotropic/composite thin conical shells, where Fourier series expansion, Laplace transform, perturbation technique are applied. Synthesizing the transfer functions of sub-segments, the TFM solution is worked out for combined shells composed of several conical shell segments with different conical angle, thickness, complex boundary conditions and middle-supported constraints. Numerical results shows that this asymptotic TFM solution is of very high precision.
出处
《国防科技大学学报》
EI
CAS
CSCD
1999年第6期1-4,共4页
Journal of National University of Defense Technology
基金
国家自然科学基金! (19572027)
国家教委优秀青年教师基金
归国留学人员基金
关键词
复合材料圆锥壳
振动
稳定性
渐近解
传递函数法
composite conical shell, vibration, stability, asymptotic solution, distributed transfer function method
