For rigid-body motion, the strains will vanish. Under these conditions, integrate the strain displacement relationsди,erardue1Ur +(7.6.1)ep = -1/1 ди,dueUgere =2 r d0ar(7.6.1)to show that the most general form of a rigid-body motion displacement field in polar coordinates is given by:Up* = a sin 0 +b cos 0Ug* = a cos 0 – b sin 0 + crwhere a, b, c are constants. Also show that this result is consistent with the Cartesian form given by relation (2.2.9)u* = uo - Wzy(2.2.9)v* = Vo + WzX

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Description: For rigid-body motion, the strains will vanish. Under these conditions, integrate the strain displacement relationsди,erardue1Ur +(7.6.1)ep = -1/1 ди,dueUgere =2 r d0ar(7.6.1)to show that the most general form of a rigid-body motion displacement fie

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Math

Advanced Math

For rigid-body motion, the strains will vanish. Under these conditions, integrate the strain displacement relations

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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