摘要
该文基于Donnell薄壳理论,考虑各层锥顶点的水平偏移,分别建立了基壳和约束壳的控制方程。仅考虑粘弹性层剪切变形的影响,由线粘弹性理论,结合基壳、约束壳的控制方程和粘弹性层的法向平衡方程,导出了PCLD圆锥层合壳的整合一阶常微分矩阵方程。该方程的系数矩阵不是常数矩阵,各元素的表达式较PCLD圆柱壳复杂。然后,借助基于精细积分技术的传递矩阵法提出了一种分析PCLD圆锥层合壳振动和阻尼特性的半解析、半数值方法。通过与文献值的对比,证明了该文方法的有效性。该文还讨论了各种参数对系统固有频率和损耗因子的影响。
Based on the Donnell theory of thin shells,considering the level offset of the cone vertex in all layers, the governing equations of host shell and constraining shell can be obtained . For the viscoelastic layer, only shear deformations are considered. Employing the linear viscoelastic theory, combined with the governing equations of host shell and constraining shell, as well as the normal balance equation of viscoelastic layer, the integrated first order constant differential matrix equation of a sandwich conical shell with circular passive constrained layer damping is derived. The coefficient matrix of the equation is not constant, and the expression for each element is more complex than PCLD cylindrical shell. After that, a semi-analytical, semi-numerical method is developed to analyze the vibration and damping characteristics of a sandwich conical shell by means of the transfer matrix method which is based on precise integration technology. Comparisons with literature results show that the proposed approach is effective. The effects of parameters on natural frequency and dissipative factors are also discussed.
出处
《工程力学》
EI
CSCD
北大核心
2010年第11期1-8,共8页
Engineering Mechanics
基金
国家自然科学基金项目(10662003)
广西教育厅项目(200807MS109)
关键词
被动约束层阻尼(PCLD)
圆锥壳
一阶常微分矩阵方程
传递矩阵法
精细积分技术
passive constrained layer damping （PCLD）
conical shell
first order differential matrix equation
transfer matrix method
precise integration technology
