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contributor authorH. C. Lee
date accessioned2017-05-08T23:08:41Z
date available2017-05-08T23:08:41Z
date copyrightJune, 1963
date issued1963
identifier issn0021-8936
identifier otherJAMCAV-25708#176_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/93267
description abstractThe minimum principle and step-by-step iteration method are generalized for coupled simultaneous differential equations in order to obtain an approximate solution for the flexural vibration frequencies of a wedge with rotatory inertia and shear effects. This procedure avoids the difficulty of solving the nonself-adjoint equation which results when the simultaneous equations for bending slope and displacement are combined into a single differential equation. The upper and lower bounds of the first two eigenvalues are established and a comparison is made with the classical Kirchhoff solution where the rotatory inertia and shear are neglected.
publisherThe American Society of Mechanical Engineers (ASME)
titleA Generalized Minimum Principle and Its Application to the Vibration of a Wedge With Rotatory Inertia and Shear
typeJournal Paper
journal volume30
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3636508
journal fristpage176
journal lastpage180
identifier eissn1528-9036
keywordsInertia (Mechanics)
keywordsShear (Mechanics)
keywordsVibration
keywordsWedges
keywordsEquations
keywordsDifferential equations
keywordsOscillating frequencies
keywordsDisplacement AND Eigenvalues
treeJournal of Applied Mechanics:;1963:;volume( 030 ):;issue: 002
contenttypeFulltext


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