摘要
基于Reddy分层理论并在板厚方向取二次位移插值函数来推导出粘弹层合板的动力学方程,得到了简支粘弹夹层层合板的振动频率,其数值与已知文献数据吻合较好,且能够计算出协调的横向应力.在低频自由振动时,横向剪应力是造成粘弹层合板脱层的主要原因;高频时,横向正应力在脱层破坏中起主要作用.分析了粘弹材料模量对层合板横向应力的影响以及横向应力最大值与面内应力最大值的比值.结果表明所采用的算法、算式及所编写的程序是可靠的.
Based on Reddy＇s layerwise theory, the governing equations for dynamic response of viscoelastic laminated plate were derived by using the quadratic interpolation function for displacement in the direction of plate thickness. And the vibration frequencies and loss factors were calculated for free vibration of simply supported viscoelastic sandwich plate, which shows a good agreement with the data in the reference. And harmonious transverse stresses can be obtained. The transverse shear stresses are the main factor that leads to the delamination of viscoelastic laminated plate in lower-frequency free vibration and the transverse normal stress in higher-frequency free vibration. The relationship of the modulus of viscoelastic materials to transverse stress was analyzed. The ratio of transverse stress max-value to in-plane stress max-value was obtained. The results show that the method, equations and programs are reliable.
出处
《应用数学和力学》
SCIE
EI
CSCD
北大核心
2009年第1期101-108,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10572150)
关键词
粘弹性
分层理论
横向应力
层合板
viscoelastic
layerwise theory
transverse stress
laminated plate
