摘要
基于线弹性薄壳理论,利用旋转壳周向封闭的几何特性,将旋转壳的基本方程在周向进行Fourier级数展开,导出其一阶常微分动力学矩阵方程.通过环肋与旋转壳的连续性条件,导出环肋对旋转壳的状态向量变换矩阵,建立了环向加肋旋转壳的整体控制方程,在此基础上,结合齐次扩容精细积分法和精细元法,对环向加肋旋转壳的自由振动特性提出了一种半解析法.文中通过算例讨论了在不同的周向波数下环肋加强旋转壳的固有频率,并与有限元结果进行对比,验证了本文方法的正确性和有效性.
Based on the linear elastic thin shells theory, the basic equations of the shell of revolution are expanded to Fourier series according to its geometric characteristics of circumferential closed, and the first order matrix differential equation of a shell of revolution is derived for its dynamics characteristics. The state vector transformation matrix between the shell of revolution and ring rib is given by their continuity conditions. Combining the above equations, the total control equation of the ring-stiffened shell of revolution is established. By means of extended homogeneous capacity high precision integration method and precise element method, a semi-analytical method is proposed for solving the free vibration characteristics of the ring-stiffened shell of revolution. In the article, the natural frequency in different circumferential wave number is discussed. The comparisons with the finite element method show that the proposed approach is effective and reliable.
出处
《广西科技大学学报》
CAS
2014年第1期54-58,共5页
Journal of Guangxi University of Science and Technology
基金
广西自然科学基金项目(2012GXNSFAA053207)资助
关键词
旋转壳
环肋
自由振动
精细元法
半解析法
shell of revolution
ring rib
free vibration
precise element method
semi-analytical method
