Vibrations of Shells and Rods
Title:
Vibrations of Shells and Rods
ISBN:
9783642599118
Personal Author:
Edition:
1st ed. 1999.
Publication Information New:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
Physical Description:
IV, 423 p. online resource.
Contents:
1 Introduction -- 2 Preliminaries -- 2.1 Tensor analysis -- 2.2 Geometry of curves and surfaces -- 2.3 Dynamic theory of elasticity -- 2.4 Dynamic theory of piezoelectricity -- 2.5 Variational-asymptotic method -- I Low-frequency vibrations -- 3 Elastic shells -- 4 Elastic rods -- 5 Piezoelectric shells -- 6 Piezoelectric rods -- II High-frequency vibrations -- 7 Elastic shells -- 8 Elastic rods -- 9 Piezoelectric shells -- 10 Piezoelectric rods -- A.I Elastic isotropic materials -- A.2 Piezoelectric crystals -- A.3 Piezoceramic materials -- B List of notations.
Abstract:
This book is intended for engineers who deal with vibrations of rods and shells in their everyday practice but also wish to understand the subject from the mathematical point-of-view. Particularly the results concerning high-frequency vibrations may be new to them. The book can also serve as a textbook for advanced students. It may also be interesting for mathematicians who seek applications of the variational and asymptotic methods in elasticity and piezoelectricity. Only a minimum knowledge in advanced calculus and contiuum mechanics is assumed on the part of the reader.
Added Corporate Author:
Electronic Access:
Full Text Available From Springer Nature Engineering Archive Packages
Language:
English