摘要
基于最小势能原理及变分法,建立了具环向贯穿脱层圆柱壳的自由振动控制方程及相应的定解条件,并应用有限差分法对控制方程进行求解.数值分析中,讨论了各种脱层参数对脱层壳固有频率的影响.结果表明,当脱层长度越大、脱层位置越深以及脱层越靠近壳的纵向对称中心时,脱层圆柱壳的无量纲线性基频及固有频率越低.
Based on the principle of minimum potential energy and the difference method, the free vibration governing equations for cylindrical shell with throughout circumference delamination are derived,and the corresponding boundary and matching conditions are given. The governing equations are solved by employing the finite difference method. In numerical analysis,the effects of delaminated parameters on the natural frequency of delaminated cylindrical shell are discussed. The results show that the dimensionless basic frequency as well as the natural frequency decrease with the increase of delamination length,depth and the delamination position approaching to symmetric center along the longitudinal direction of the shell.
出处
《长沙理工大学学报（自然科学版）》
CAS
2008年第3期78-83,共6页
Journal of Changsha University of Science and Technology:Natural Science
基金
湖南省自然科学基金资助项目(08jj3008)
关键词
固支
脱层
圆柱壳
自由振动
固有频率
clamped supported
delamination
cylindrical shell
free vibration
natural frequency
