The Equations of Motion for the Stretcthing, Bending and Twisting of a Marine Pipeline Containing Flowing Fluids

J. Ocean Eng. Technol. 1994;8(2):151-156.

내부 유체 유동을 포함한 해저 파이프 라인의 인장 굽힘 비틀림 운동 방정식

서영태

한국군사문제연구원

Keywords: marine pipeline, slender rod, space curve, Hamiltons principle, Lagrangian, 1st variation, kinetic energy

핵심용어: 해저 송유관, 세장보, 공간곡선, 해밀턴 원리, 라그란지안, 1차 변분, 운동 에너지

Abstract

The equations of motion of a submarine pipeline with the internal flowing fluid and subject to hydrodynamic loadings are derived by using Hamilton's principle. Coupling between the bending and the longitudinal extension due to axial load and thermal expansion are considered. Coupling between the twisting and extension are not considered. The equations of motion are well agreed with the results which are derived by the vector method.