Optimal Design of Composite Plates Under Thermal Loads

S. Abrate
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Abstract

In this article, the effect of thermal expansion on laminated composite plates are examined and the influence of the layup is studied using non-dimensional lamination parameters. A maximum of 12 parameters are needed to describe all possible laminates regardless of the number of plies. In some applications, the layup is selected to minimum thermal expansion in a certain direction. We show that thermal expansion cannot be prevented in all directions. Thermal deflections of symmetrically laminated plates that are continuous over many line supports are determined using the Rayleigh-Ritz method. The constitutive equations and the thermal loads are expressed in terms of four non-dimensional lamination parameters. Layups that minimize thermal deflections are determined for several types of composite plates subjected to temperature increases that vary linearly through the thickness.
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热载荷作用下复合材料板的优化设计
本文考察了热膨胀对复合材料层合板的影响,并采用无因次层合参数研究了层合层合厚度的影响。无论层数多少,最多需要12个参数来描述所有可能的层压板。在某些应用中,为了使某一方向上的热膨胀最小而选择铺层。我们证明了在所有方向上热膨胀是不可能被阻止的。采用瑞利-里兹方法确定了在许多线支撑上连续的对称层合板的热挠度。本构方程和热载荷用四个无维层合参数表示。对于几种受温度随厚度线性变化而增加的复合材料板,确定了使热挠曲最小化的铺层。
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