弹性连续介质中有限长环向加肋圆柱壳的振动特性

发布时间：2018-11-04 09:09

【摘要】：基于Flugge薄壳理论,利用环向加肋圆柱壳中力与壳体中面位移关系,运用波传播理论考虑有限长圆柱壳两端边界条件,得到环向加肋圆柱壳结构的运动控制方程;再基于Navier-Stokes波动理论建立圆柱壳周围无限弹性连续介质的运动方程。在此基础上,通过接触面连续条件与Flugge薄壳理论基本条件,建立基于弹性介质与环向加肋圆柱壳结构耦合作用下的圆柱壳振动控制方程,从而得到弹性介质中环向加肋圆柱壳结构的自振特性参数。通过真空中普通圆柱壳、弹性介质中普通圆柱壳、真空中环向加肋圆柱壳以及弹性介质中环向加肋圆柱壳结构的振动特性分析,同时结合三维有限元仿真分析,验证了本文理论方法的正确性,研究成果可为地下管道等相关结构的抗震设计及无损检测提供理论指导。
[Abstract]:Based on the theory of Flugge thin shell, using the relation between the internal force and the displacement of the shell, the wave propagation theory is used to consider the boundary conditions of the two ends of the finite cylindrical shell, and the governing equation of the motion of the circular stiffened cylindrical shell is obtained. Based on Navier-Stokes wave theory, the equations of motion of infinite elastic continuous media around cylindrical shells are established. On this basis, the vibration control equation of cylindrical shell under the coupling of elastic medium and toroidal stiffened cylindrical shell is established by using the continuity condition of contact surface and the basic condition of Flugge thin shell theory. The natural vibration characteristic parameters of circular stiffened cylindrical shell in elastic medium are obtained. The vibration characteristics of ordinary cylindrical shells in vacuum, ordinary cylindrical shells in elastic media, circular stiffened cylindrical shells in vacuum and circular stiffened cylindrical shells in elastic media are analyzed. The results can provide theoretical guidance for seismic design and nondestructive testing of related structures such as underground pipelines.
【作者单位】：武汉大学土木建筑工程学院;
【基金】：国家自然科学基金(51208390)资助
【分类号】：O327

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