分析部分环状覆盖PCLD圆锥壳自由振动与阻尼特性的半解析法  

A semi-analytical method for analyzing free vibration and damping effect of a conical shell with partially ring-shaped constrained layer damping treatment

作　　者：陆静[1,2] 向宇[2] 倪樵[1] 黄玉盈[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074 [2]广西工学院汽车工程系,广西柳州545006

出　　处：《振动工程学报》2010年第2期213-219,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金项目(10662003);广西教育厅项目(200807MS109)

摘　　要：基于Donnell薄壳和线粘弹性理论,对于粘弹性层仅考虑剪切变形,并采用复常量模型模拟粘性层的能耗特性,导出了PCLD圆锥层合壳的整合一阶常微分矩阵方程,由于周向曲率是纵向坐标的函数,系数矩阵比圆柱层合壳复杂。然后借助精细积分和传递矩阵法,提出了一种分析部分覆盖PCLD圆锥层合壳自由振动和阻尼特性的半解析方法。通过数值算例证明了本文方法的有效性,文中还讨论了覆盖率等参数对PCLD圆锥层合壳固有频率和损耗因子的影响,影响程度和PCLD圆柱层合壳也不同。Based on the theory of Donnell thin shells and the linear viscoelastic theory,by considering only the shearing deformation of viscoelastic core and adopting an assumption that the complex constant model is simulated as its energy dissipation characteristic, the integrated first order differential matrix equation of a sandwich conical shell with partially ring-shaped constrained layer damping treatment is derived in this paper. Since the circumferential curvature is a function of longitudinal coordinate, the coefficient matrix of sandwich conical shell is more complicated than those for cylindrical shell, then a semi-analytical method is developed to analyze the vibration and damping characteristics of a conical shell covered with partially ringshaped constrained layer damping by means of the high precision direct integration technology and transfer matrix method. Numerical examples show that the proposed approach is effective. The effects of varies of parameters, such as coverage percent, on the natural frequency and dissipative factors of a PCLD sandwich conical shell are also discussed, which is also different from PCLD sandwich cylindrical shell.

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 精细积分法 

分 类 号：TH133[机械工程—机械制造及自动化] TU311[建筑科学—结构工程]