臺灣博碩士論文加值系統

本研究是以多層分析理論做基礎,使用漢彌頓內差函數做為複材積層圓柱
殼在厚度方向上的位移內差函數並加上層間界面剪應力連續的條件,使位
移場在厚度方向上滿足界面位移連續及層間剪應力連續之限制條件,如此
便可直接從構成方程式求出合理之層間應力.在本文中首先推導本理論在
圓柱極座標系統的一般表示式,再以最小總勢能原理推導出控制方程式的
矩陣型式來從事數值結果分析.所得的分析結果再和彈性力學真解之結果
作比較,來驗證本理論的精確性.本文的第二部份則是應用縮層技巧,對複
材積層圓柱厚殼做應力計算分析,然後找出一些縮層技巧的原則做為日後
類似問題解決的參考.

This research is based on the multiple-layer approach,the
governing equations of a composite cylindrical shell in static
loading are formulated by using the principle of minimum total
potential energy. Since both the continuity conditions of
displacement and interlaminar shear stresses through the thick-
ness and on the surfaces are satisfied exactly by assumed
displacement fields,a valid stress field can be calculated
directly from the constitutive equations.A mixed single-layer
and multiple-layer approach using the generalized interlaminar
shear stress continuity theory in cylindrical coordinate is
presented in part one of this text. The colsed-form solutions
of some selected munerical examples show good accuracy for both
thick and thin laminated shells by comparing with elasticity
solutions.In part two of this text,a layer reduction technique
deriving from the generalized interlaminar shear stress
continu- ity is used in the analysis of composite shells.By
the results of the munerical examples studied,it is found that,
in spite of the munber of plies in the laminate,six
sublaminates used in this layer reduction analysis can give
the predicated stresses within 6% of accuracy.