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contributor authorR. P. Nordgren
date accessioned2017-05-09T01:37:31Z
date available2017-05-09T01:37:31Z
date copyrightSeptember, 1974
date issued1974
identifier issn0021-8936
identifier otherJAMCAV-26015#777_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164411
description abstractA computational method is developed for the finite-amplitude three-dimensional motion of inextensible elastic rods with equal principal stiffnesses. The method also applies to the two-dimensional motion of such rods with unequal principal stiffnesses. For these two classes of problems the equations of the classical theory of rods are reduced to a non-linear vector equation of motion together with the inextensibility condition and appropriate boundary and initial conditions. Consistent finite-difference approximations are introduced and a semi-explicit method of solution is devised. The approximate limitation for numerical stability of the method is shown to be the same as for the usual explicit method in linear beam dynamics. By way of example the method is applied to the free fall of a circular pipe through water onto a rigid plane from a suspended initial configuration.
publisherThe American Society of Mechanical Engineers (ASME)
titleOn Computation of the Motion of Elastic Rods
typeJournal Paper
journal volume41
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3423387
journal fristpage777
journal lastpage780
identifier eissn1528-9036
keywordsMotion
keywordsComputation
keywordsRods
keywordsWater
keywordsComputational methods
keywordsEquations
keywordsNumerical stability
keywordsEquations of motion
keywordsPipes
keywordsApproximation AND Dynamics (Mechanics)
treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 003
contenttypeFulltext


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