By Oliver M. O'Reilly
This ebook offers theories of deformable elastic strings and rods and their program to huge sessions 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 relatives to shape a suite of governing equations. For definite periods of difficulties, it's proven how a stability of fabric momentum can play a key function in forming the equations of movement. the 1st 1/2 the ebook is dedicated to the merely mechanical idea of a string and its purposes. the second one 1/2 the ebook is dedicated to rod theories, together with Euler’s idea of the elastica, Kirchhoff ’s idea of an elastic rod, and a number Cosserat rod theories. a number of vintage and up to date purposes of those rod theories are tested. supplemental chapters, the 1st on continuum mechanics of three-d continua and the second one on equipment from variational calculus, are incorporated to supply suitable historical past for students.
This e-book is suited to graduate-level classes at the dynamics of nonlinearly elastic rods and strings.
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