Cc. Baniotopoulos, SADDLE-SUPPORTED PIPELINES - INFLUENCE OF UNILATERAL SUPPORT AND THICKNESS ON THE STRESS STATE, International journal of pressure vessels and piping, 67(1), 1996, pp. 55-64
The present paper deals with the sensitivity analysis of above-ground
pipelines under static loading, by taking into account the possibility
of development of uplift at the pipe/saddle interfaces. Applying clas
sical frictionless unilateral contact to describe mathematically the p
ipeline support conditions and an appropriate finite element scheme, t
he discrete problem is put in the form of an inequality restrained qua
dratic optimization problem with respect to either displacements or st
resses. In order to investigate the structural response of an above-gr
ound pipeline with respect to the variation of critical design paramet
ers (cf e.g. the thickness), the sensitivity analysis problem has been
formulated: the latter is a quadratic programming problem with design
parameters appearing only in the quadratic term. This problem is trea
ted numerically by means of appropriate quadratic optimization techniq
ues. The effectiveness of the method proposed is illustrated by means
of a numerical application.