【摘要】 基于线弹性薄壳理论和线粘弹性理论,考虑被动约束层阻尼(PCLD)的剪切耗能以及层间的相互作用,首次导出了适用于最一般情况的环状覆盖PCLD圆柱层合壳在谐激励作用下的整合一阶常微分矩阵方程,它的12个状态变量具有明确的物理意义,而且由层合壳完整的位移量和内力量组成,应用范围很广。通过将该模型和齐次扩容精细积分法结合构建了一种高效率和高精度的半解析半数值方法,并与解析解结果进行了对比,验证了该方法的正确性和有效性,借此还分析了PCLD覆盖率和覆盖位置对频率响应函数的影响。更多还原

【Abstract】 Based on the linear theories of thin cylindrical shells and viscoelastic materials,the governing equation generally describing vibration of a sandwich circular cylindrical shell with partially constrained layer damping treatment under harmonic excitation,which can be written in a matrix differential equation of first order,is derived by considering the energy dissipation due to the shear deformation of the viscoelastic layer and the interaction between all layers.After that a semi-analytical and semi-numerical method for solving this governing equation is presented by means of the extended homogeneous capacity precision integration approach.Its essential difference from the recent works on transfer matrix method is that the state vector in governing equation is composed of the twelve displacements and internal forces of the sandwich shell rather than of the displacements and their derivatives.As a result,the present method can be applied to solve the dynamic problems of the kind of sandwich shell with various boundary conditions and partially constrained layer damping.Numerical examples show that the proposed approach is very effective and reliable,compared with the existing analytical solutions.Furthermore,the effects of PCLD coverage percents and locations on FRF are then discussed.更多还原