Vibration of Periodic Structures

ISBN-13: 9780323990226 / Angielski

Gautam SenGupta

Opis

Vibration of Periodic Structures introduces the fundamentals of periodic structure theory by considering the simplest model – wave propagation in an infinitely long periodic spring-mass system. It then shows how the knowledge of the stop and pass bands can be utilized to find the natural frequency distribution in a finite periodic structure. The basic concepts are further extended to wave propagation in infinitely long periodically supported beams and plates; distribution of natural frequencies of a similar structure of finite length; vibration of skin-stringer structures; and structuralacoustic properties of a section of an aircraft fuselage, based on a combination of the finite element method and the periodic structure theory, in a highly cost-effective manner. This book is a valuable resource of information for practicing engineers in various industries, e.g., civil, mechanical, or aerospace engineering, dealing with vibration of structures with periodic properties, including prediction of supersonic flutter characteristics of aerospace structures. It will also prove to be a beneficial reference for researchers involved with wave propagation in metamaterials and phononic devices. “Readers who have wanted a clear and connected account of vibration of periodic structures will find this treatment accessible and stimulating and will want to add this volume to their personal or institutional library.” – Prof. Earl Dowell, Duke University, Durham, NC, USA

Spis treści

1. Fundamentals of the Periodic Structure Theory
2. Natural Flexural Waves and Normal Modes of Beams and Plates
3. Waves in Periodically Supported Beams and Plates
4. Natural Frequencies of a Finite Periodically Supported Beam
5. Natural Frequencies of Periodic Skin-Stringer Structures
6. Waves in Doubly Periodic Structures
7. Wave Propagation in Semi-Periodic Structures
8. Combustion of the Finite Element Method (FEM) and the Periodic Structure (PS) Theory
9. Prediction of Structural-Acoustic Response of an Aircraft Fuselage Modeled as a Periodic Structure
10. Vibration Response and Sound Radiation from Beams, Plates, and Cylinders Excited by Nonhomogenous Random Pressure Fieldss
11. Effect of Support Flexibility
12. Intrinsic Structural Tuning
13. Sound Radiation from Periodic Structures
14. Effect of Non-periodicity
15. Use of Periodic Structure Theory for Predicting Supersonic Flutter of Plates and Shells