Download Modeling Nonlinear Problems in the Mechanics of Strings and by Oliver M. O'Reilly PDF

By Oliver M. O'Reilly

This booklet provides theories of deformable elastic strings and rods and their software to large periods of difficulties. Readers will achieve insights into the formula and research of versions for mechanical and organic platforms. Emphasis is put on how the stability legislation interaction with constitutive family to shape a suite of governing equations. For convinced sessions of difficulties, it really is proven how a stability of fabric momentum can play a key function in forming the equations of movement. the 1st half the e-book is dedicated to the in simple terms mechanical idea of a string and its functions. the second one 1/2 the publication is dedicated to rod theories, together with Euler’s conception of the elastica, Kirchhoff ’s idea of an elastic rod, and a number Cosserat rod theories. various vintage and up to date functions of those rod theories are tested. supplemental chapters, the 1st on continuum mechanics of 3-dimensional continua and the second one on equipment from variational calculus, are incorporated to supply correct historical past for students.

This ebook is fitted to graduate-level classes at the dynamics of nonlinearly elastic rods and strings.

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