Cylindrical Shell의 변형

Abstract

직경에 비하여 두께가 작은cylindrical shell이 힘을 받아 변형을 일으켰을때 변위사이의 미분방정식을 구했다.

shell로부터 취한 미소요소의 측면들에 작용하는 힘과 moment는 strain 및 곡율변화로서 표시할 수 있고 다시 이들은 변위 사이의 미분형태로 표시 가능함을 보임으로써 이 미소요소에 작용하는 힘 moment의 평형조건을 사용하여 변위사이의 미분 방정식이 얻어졌다.

Partial differential equations between the components if displacement are derived when a cylindrical shell, whose wall thickness is relatively small compared with the diameter, is deformed by the load.

The forces and moments acting on the sides of small element of the shell are expressed by the strain and the difference of the rate of curvature. Since it was possible to express these terms in the derivative forms of displacement. differential equations are obtained by using equilibrium condition on this small element.

Partial differential equations between the components if displacement are derived when a cylindrical shell, whose wall thickness is relatively small compared with the diameter, is deformed by the load.

The forces and moments acting on the sides of small element of the shell are expressed by the strain and the difference of the rate of curvature. Since it was possible to express these terms in the derivative forms of displacement. differential equations are obtained by using equilibrium condition on this small element.