被动约束层阻尼板动力学分析的精细积分法  

HIGH PRECISION DIRECT INTEGRATION FOR DYNAMIC ANALYSIS OF PASSIVELY CONSTRAINED LAYER DAMPING PLATE

作　　者：饶兴[1] 向宇[2] 陆静[2] 史丽云[1] 

机构地区：[1]广西工学院土木建筑系,广西柳州545006 [2]广西工学院汽车工程系,广西柳州545006

出　　处：《工业建筑》2010年第S1期261-266,共6页Industrial Construction

基　　金：国家自然科学基金资助项目(10662003);广西教育厅基金资助项目(200807MS109)

摘　　要：基于线弹性薄板理论和线粘弹性理论,计及约束层阻尼(CLD)的剪切耗能作用,对两端简支的约束层阻尼板导出了在谐激励作用下的整合一阶常微分矩阵方程组,它由12个独立的一阶常微分方程组成,其中12个变量的状态向量都具有明确的物理意义。该模型的建立为应用新型齐次扩容精细积分技术,构建一种高效率和高精度的半解析半数值方法奠定了基础。通过数值计算结果和有限元法结果的比较,有力说明了方法的正确性和有效性。Based on the linear theories of thin plate and viscoelastic materials,considering the role of shear energy of constrained layer damping(CLD),the integrating first-order ordinary differential matrix equations are derired when simply supported at both ends of the constrained layer damping plate under harmonic excitation,which consists of 12 independent first-order ordinary differential equations,of which every state vector of variable have a clear physical mean.The model lays a foundation for applying the technologies of homogenized precise integration and building a semi-analytical and semi-numerical method with high efficiency and accuracy.Through the comparison of the numerical results and the results of the finite element method,it can be shown that the proposed approach is very effective and reliable.

关 键 词：约束层阻尼 一阶矩阵常微分方程 矩形薄板 精细积分法 动力学分析 

分 类 号：TU311.3[建筑科学—结构工程]