基於傳統的「殼」力學理論，本文導出一套微分方程式，用來規範黏彈性，具有直交異方性材質的錐形殼，在任一外加力函數下的的運動。殻的厚度與直交異方性可以沿著錐邊變化，黏彈特性則用構成應力、應變關係以複變數來表示、此套薇分方程式的形式便於計算，又可化簡成規範自由振動的方程式。本文舉一實例來展示自由振動的結果，結果顯示：用一特殊直交異方性的材質，可得最低共嗚頻率的自由振動模式爲環狀，而非如等方性材質的情形之蛋形。本文作者在美國奇異公司(General Electric Co.)分析研究發電機端繞組中的部份成果。
The differential equations describing the behavior of a viscoelasto-orthotropic conical shell subjected to an arbitrary forcing function are obtained under the assumptions of classical shell theory and expressed in a form convenient for computation. The thickness and orthotropy of the shell may vary along the generator of the shell. Viscoelastic property of the shell is introduced through the constitutive relations in a form of complex variables. The system of equations can be reduced to that governing free vibrations. As an example, results of a free vibration problem are given. It is shown that for a particular material orthotropy, the ring mode may have the lowest natural frequency of vibration in contrast with the case of isotropic conical shells. This work was part of the 'Generator Endwinding Analysis' carried Out at General Electric Company in the U.S.A.
