中文摘要：

研究了横向谐波荷载作用下具脱层复合材料层合梁的主共振问题.首先基于经典非线性弹性理论以及分区Reissner变分原理建立了脱层层合梁的非线性动力模型,然后利用Galerkin积分过程,将脱层梁的非线性偏微分控制方程转化为常微分控制方程,进而采用多尺度法求解了脱层梁主共振响应.讨论了不同脱层长度、脱层深度以及不同铺设材料对脱层层合梁主共振行为的影响.

英文摘要：

The primary resonance of a delaminated beam subjected to transverse harmonic excitation is investigated.The nonlinear dynamic model of the delaminated beam is established based on classic nonlinear elastic theory and region-wise Reissner Variational Principle.Applying the Galerkin integration procedure,the nonlinear dynamic partial equations of delaminated beam are transferred into a series of nonlinear dynamic ordinary equations.Furthermore,the method of multiple scales is used to solve the primary resonance of delaminated beam.Finally,the effects of various delamination lengths,delamination depths on primary resonance of laminated beam are investigated.