研究了层合板特征值对铺层角的灵敏度,从经典层合板理论出发,结合有限元方法,通过虚功原理,推导了层合板的刚度矩阵和质量矩阵,并且导出了质量、刚度矩阵和铺层角、铺层厚度之间的显式关系;利用摄动方法,推导了层合板各阶特征值对各个铺层角灵敏度的显式表达式.通过数值算例,对比了本文方法与有限差分法得到的结果,表明差分法只有当增量步很小时才能够达到本文方法的精度.
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