Ebook: Vibrations of Shells and Rods

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.

---

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.

---

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.
Content:
Front Matter....Pages i-7
Introduction....Pages 9-15
Preliminaries....Pages 17-55
Front Matter....Pages 57-57
Elastic shells....Pages 59-122
Elastic rods....Pages 123-161
Piezoelectric shells....Pages 163-208
Piezoelectric rods....Pages 209-247
Front Matter....Pages 249-249
Elastic shells....Pages 251-309
Elastic rods....Pages 311-348
Piezoelectric shells....Pages 349-379
Piezoelectric rods....Pages 381-403
Back Matter....Pages 405-423

---

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.
Content:
Front Matter....Pages i-7
Introduction....Pages 9-15
Preliminaries....Pages 17-55
Front Matter....Pages 57-57
Elastic shells....Pages 59-122
Elastic rods....Pages 123-161
Piezoelectric shells....Pages 163-208
Piezoelectric rods....Pages 209-247
Front Matter....Pages 249-249
Elastic shells....Pages 251-309
Elastic rods....Pages 311-348
Piezoelectric shells....Pages 349-379
Piezoelectric rods....Pages 381-403
Back Matter....Pages 405-423
....