一种新的叠层板壳高阶理论
A New Higher-Order Theory to Laminated Plates and Shells
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摘要: 本文提出了一种新的叠层板壳高阶理论,然后又研究了正交对称叠层板,反对称叠层板,圆柱弯曲和球壳弯曲问题.为了检验理论的准确性,文中计算了几个特殊例子,数值结果和精确解吻合得相当好,说明本理论具有较高的准确度,且表现出未知数较少,解题方便的优点.Abstract: In this paper, a new highcr-ortler theory to luminated plate and shells is presemed and then symmetric and antisymmetric cross-ply laminated plates, cyliadric bending and heading of spherical shells are also studied. In order to examine the accuracy of the theory, several particular examples have been calculated. The numerical results are in good agreement with the exact solution, which shews the theory is possessed of higher accuracy and is easy to solve a problem with few unknowns.
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[1] Lo.K.H.,R.M.Christensen and E.M.Wu,A higher-order theory of plate deformation,Part 2,Laminated plates,J.Appl.Mech.,44,(1977),669-676. [2] Reddy,J.N.,A simple high-order theory for laminated composite plates,J.Appl.Mech.,51(1984),745-752. [3] Toledano,A.and H.Mura Kami,A high-order laminated plates theory with improved inplane response,Int.J.Solids Struct.23,1,111-131. [4] 周服、蓝万林、黄小清、范业立,复合材料叠层板分析,华南工学院学报,1(1988). [5] Reddy,J.N.and C.F.Liu,A high-order shear deformation theory of laminated elastic shells,Int.J.Eng.Sci.,23,3(1985),319-330. -
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