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本文在经典层合板理论的基础上讨论了层合板的均衡型问题.给出了既适合阿络理论也适合层合板理论的广义均衡型条件;阐明了均衡型的力学机理.均衡型是使层合板面内各方向具有相同相对伸长时的铺层形式.说明了均衡型层合板的应变和应力计算方法.引入均衡应变概念,讨论了与金属层复合时层合板的均衡型,并用表格形式开列了网络理论的相应公式.本文的结果不仅适合同种纤维增强的层合板,也适合不同种纤维增强的混杂层合板.
In this paper, the equilibrium problem of laminate is discussed based on the classical theory of laminate, and the generalized equilibrium condition which is suitable both for Arnold theory and for laminated plate theory is given. The equilibrium mechanics mechanism is clarified. This paper presents the method of calculating the strain and stress of balanced laminates by introducing the concept of equilibrium strain and discussing the equilibrium type of laminates when laminating with metal layers and using tabular form The corresponding formulas for network theory are presented.The results in this paper are not only suitable for fiber-reinforced laminate, but also for different fiber-reinforced hybrid laminates.