Marine Pipeline Analysis Based on Newton’s Method With an Arctic Application

[+] Author and Article Information
D. W. Dareing

Department of Engineering Science, University of Arkansas, Fayetteville, Ark.

R. F. Neathery

Department of Mechanical Engineering, Le Tourneau College, Longview, Tex.

J. Eng. Ind 92(4), 827-833 (Nov 01, 1970) (7 pages) doi:10.1115/1.3427852 History: Received June 15, 1970; Online July 15, 2010


Newton’s method is used to solve the nonlinear differential equations of bending for marine pipelines suspended between a lay-barge and the ocean floor. Newton’s method leads to linear differential equations, which are expressed in terms of finite differences and solved numerically. The success of Newton’s method depends on initial trial solutions, which in this paper are catenaries. Iterative solutions converge rapidly toward the exact solution (pipe deflection) even though large bending moments exist in the pipe. Example calculations are given for a 48-in. pipeline suspended in 300 ft of water.

Copyright © 1970 by ASME
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