Vibration of Periodic Structures
- 1st Edition - October 27, 2023
- Imprint: Elsevier
- Author: Gautam SenGupta
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 9 0 2 2 - 6
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 9 0 2 3 - 3
Vibration of Periodic Structures introduces the fundamentals of periodic structure theory by considering the simplest model – wave propagation in an infinitely long periodic spri… Read more
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Request a sales quoteVibration 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
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
- Shows how the periodic structure theory can be combined with the finite element method to model a section of an airplane fuselage to study its structural-acoustic characteristics
- Features developing methods for predicting the dynamics of periodic structures in a cost-effective manner
- Guides the reader to predict and reduce response of periodically stiffened structures to random excitations
Aerospace and mechanical engineers, professors and graduate students involved in research on structural dynamics, acoustics, aeroelasticity, phononics, and meta-materials.
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Review
- Preface
- References
- Chapter 1: Fundamentals of the periodic structure theory
- Abstract
- 1.1. Theory
- 1.2. Vibration of a four-bay spring–mass system with fixed ends
- 1.3. Approach based on the periodic structure theory
- 1.4. Concept of equivalent internal restraint
- 1.5. Comparison with predictions based on the conventional method
- 1.6. Results
- 1.7. Concluding remarks
- References
- Chapter 2: Natural flexural waves and normal modes of beams and plates
- Abstract
- 2.1. Introduction
- 2.2. Flexural wave propagation in an infinite beam
- 2.3. Natural frequencies and normal modes of a beam
- 2.4. Vibration of rectangular plates
- 2.5. Coincidence excitation of an infinite plate of finite width
- 2.6. Concluding remarks
- References
- Chapter 3: Propagation of flexural waves in periodically supported infinite beams and plates
- Abstract
- 3.1. Introduction
- 3.2. Flexural waves in a periodically supported beam
- 3.3. Variation of μ with frequency
- 3.4. Coincidence excitation in periodically supported beams and plates
- 3.5. Concluding remarks
- 3.6. Derivation of functions used in the analysis
- References
- Chapter 4: Natural frequencies of periodically supported beams and plates of finite length
- Abstract
- 4.1. Introduction
- 4.2. Wave propagation in a finite, N-bay periodic structure
- 4.3. Conclusions
- References
- Chapter 5: Determination of natural frequencies of periodic skin-stringer structures
- Abstract
- 5.1. Introduction
- 5.2. Natural frequencies of periodic structures with stiffeners with finite torsional and infinite bending stiffness
- 5.3. Dependence of μ on frequency
- 5.4. Natural frequencies of finite periodic skin-stringer structures
- 5.5. Conditions of coincidence excitation of finite periodic structures
- 5.6. Natural frequencies of periodic structures with stiffeners of finite bending and infinite torsional stiffness
- 5.7. Variation of μ with frequency
- 5.8. Natural frequencies of periodic structures with infinite torsional and finite translational stiffness
- 5.9. Conclusions
- References
- Chapter 6: Wave propagation in doubly periodic structures
- Abstract
- 6.1. Introduction
- 6.2. Theory
- 6.3. The dependence of μ′ on frequency
- 6.4. Natural frequencies of doubly periodic structures
- 6.5. Natural frequencies of an N-bay skin-stringer panel
- 6.6. Conclusions
- References
- Chapter 7: Response and sound radiation from periodic structures
- Abstract
- 7.1. Introduction
- 7.2. The basic approach
- 7.3. Examples
- 7.4. Sound transmission and radiation from a periodically supported plate
- 7.5. Response of a periodic structure to turbulent boundary layer excitation
- References
- Chapter 8: Combination of the Finite Element Method (FEM) and the Periodic Structure (PS) theory
- Abstract
- 8.1. Introduction
- 8.2. Theory
- 8.3. Example 1: application to vibration of beams
- 8.4. Example 2: application to acoustics
- 8.5. Natural frequencies of a pipe
- 8.6. Application to acoustics – taking periodicity into account
- 8.7. Natural frequencies of a pipe with open ends
- 8.8. Concluding remarks
- References
- Chapter 9: Prediction of structural–acoustic natural frequencies of an aircraft fuselage section modeled as a periodic structure
- Abstract
- 9.1. Introduction
- 9.2. Theory
- 9.3. Modeling procedure and results
- 9.4. Conclusions
- References
- Chapter 10: Intrinsic structural tuning
- Abstract
- 10.1. Introduction
- 10.2. The basic concepts
- 10.3. Theory
- 10.4. Effect of tuning on the propagation band of a periodic skin–stringer structure
- 10.5. Effect of tuning on the response of a periodic skin–stringer structure
- 10.6. Concluding remarks
- References
- Chapter 11: Wave propagation in semi-periodic structures
- Abstract
- 11.1. Introduction
- 11.2. Flexural waves in semi-periodic structures
- References
- Chapter 12: Effects of deviations from periodicity
- Abstract
- 12.1. Vibration of a disordered periodic beam
- 12.2. Mode localization in a disordered periodic structure
- 12.3. Vibration localization by disorder in assemblies of monocoupled, multimode component systems
- 12.4. Vibration localization by damping
- 12.5. Work by Mead and Bansal
- 12.6. Work by Mead and Lee
- 12.7. Application to real airplane structures
- References
- Chapter 13: Flutter of periodically supported plates in supersonic flow
- Abstract
- 13.1. Introduction
- 13.2. Flutter of multi-bay periodic panels at high supersonic speeds
- 13.3. Example 1: flutter prediction for a simply supported one-bay panel
- 13.4. Example 2: flutter prediction for a two-bay panel with simply supported ends
- 13.5. Example 3: flutter prediction for a two-bay panel with clamped ends
- 13.6. Example 4: flutter prediction for a two-bay panel with one end clamped and the other end simply supported
- 13.7. Application of the periodic structure theory for flutter prediction of periodically supported panels at supersonic flow
- 13.8. Natural frequencies and flutter of a periodically supported panel exposed to supersonic flow based on the periodic structure theory
- 13.9. Flutter analysis of periodically supported curved panels
- 13.10. Concluding remarks
- Appendix 13.A.
- References
- Chapter 14: Examples of other applications
- Abstract
- 14.1. Introduction
- 14.2. Wave attenuation in periodic structures
- 14.3. Vibration of circular rings on periodic supports
- 14.4. Vibration of heat exchanger tube banks of nuclear reactors
- 14.5. Vibration of a compliant surface designed as a periodic structure
- 14.6. Wave propagation in a periodically supported pipe carrying fluid
- 14.7. Prediction of loss factors and resonant frequencies of periodic damped sandwich plates
- 14.8. Wave propagation in buildings modeled as periodic structures
- 14.9. Approximate methods for predicting the response of periodic structures
- 14.10. Combination of matrix methods and the periodic structure theory
- 14.11. Application of periodic structure theory for analyzing composite materials
- 14.12. Dynamics of rotationally periodic structures
- 14.13. Improving flutter characteristics of an airplane wing
- 14.14. Vibration control of a periodic railroad track
- 14.15. Application to bridge design
- 14.16. Application to metamaterials
- References
- Appendix A: Vibration response and sound radiation from beams, plates, and cylinders excited by nonhomogeneous random pressure fields
- A.1. Vibration and sound radiation from plates
- A.2. Vibration and sound radiation from cylinders
- A.3. Conclusions and recommendations
- References
- Index
- Edition: 1
- Published: October 27, 2023
- Imprint: Elsevier
- No. of pages: 274
- Language: English
- Paperback ISBN: 9780323990226
- eBook ISBN: 9780323990233
GS
Gautam SenGupta
Dr. Gautam SenGupta received his BSc (Physics) from Presidency College, Calcutta, India, his BTech (Mechanical Engineering) from IIT, Kharagpur, India, and his PhD from the University of Southampton, United Kingdom, where he developed a unique method for predicting the natural frequencies of periodic structures. He worked as a Specialist Engineer in Acoustic Fatigue at the Royal Aeronautical Society of England, and at NASA-Langley as a Research Associate. He joined Boeing in 1973, where he applied the Periodic Structure Theory to predict and control the structural acoustic characteristics of an airplane fuselage in a cost-effective manner. He retired in 2016 as a Technical Fellow of the Boeing Company in Seattle, where he was also involved in developing methods for predicting airframe noise and transonic flutter characteristics of airplanes. In addition, he has served as an Affiliate Professor at the University of Washington, where he taught courses on Structural Dynamics and related subjects.
Affiliations and expertise
Affiliate Professor, University of Washington, Seattle, WA, USARead Vibration of Periodic Structures on ScienceDirect