Effect of damping on dynamic behavior of a piezothermoelastic laminate considering the effects of transverse shear
Effect of damping on dynamic behavior of a piezothermoelastic laminate considering the effects of transverse shear
复制标题
考虑横向剪切效应的阻尼对压电弹性层合板动态行为的影响
DOI：
10.1016/s0020-7683(03)00396-2
复制
发表时间：
2003
影响因子：
3.6
通讯作者：
N. Noda
中科院分区：
文献类型：
--
作者：
M. Ishihara;N. Noda
本文分析了考虑层间剪切阻尼效应和横向剪切效应的压电热弹性层合板的动力特性。分析模型是由纤维增强层和压电层组成的矩形层合板。该模型假定为四边简支的对称正交铺设层合板，并承受随时间任意变化的机械、热和电载荷。基于一阶剪切变形理论分析了层合板的力学性能。通过引入满足牛顿粘性定律的层间剪切应力，将层间剪切阻尼的影响纳入我们的分析中。得到了下列量的解：（1）层合板的固有频率，（2）挠度和转角的权函数，（3）载荷随时间任意变化引起的非定常挠度。此外，数值例子的解决方案，显示检查阻尼和横向剪切的层合板的动态行为的影响，以及如何施加到层合板的电压减少由于机械或热载荷的挠度。
In this paper, we analyze dynamic behavior of a piezothermoelastic laminate considering the effect of damping due to interlaminar shear and the effect of transverse shear. The analytical model is a rectangular laminate composed of fiber-reinforced laminae and piezoelectric layers. The model is assumed to be a symmetric cross-ply laminate with all egdes simply supported and to be subjected to mechanical, thermal and electrical loads varying arbitrarily with time. Behavior of the laminate is analyzed based on the first-order shear deformation theory. The effect of damping due to interlaminar shear is incorporated into our analysis by introducing the interlaminar shear stresses which satisfy the Newton’s law of viscosity. Solutions of the following quantities are obtained: (1) natural frequencies of the laminate, (2) weight functions for the deflection and rotations and (3) unsteady deflection due to loads varying arbitrarily with time. Moreover, numerical examples of the solutions are shown to examine the effects of damping and transverse shear on dynamic behavior of the laminate and how the voltage applied to the laminate decreases the deflection due to mechanical or thermal loads.