Vibration of Periodic Structures: Applications to Structural Dynamics, Acoustics and Supersonic Panel Flutter introduces the fundamentals of the 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 then be utilized to develop a method for finding the natural frequency distribution in a finite periodic structure. The basic concepts are then extended to wave propagation in infinitely long periodically supported beams and plates, and the distribution of natural frequencies of a similar structure of finite length. The method is then extended to vibration of skin-stringer structures, and the structural-acoustic 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, compared to the conventional Finite Element method.
Vibration of Periodic Structures: Applications to Structural Dynamics, Acoustics and Supersonic Panel Flutter is for practicing engineers in various industries involved in analysis of vibration of structures with periodic properties, and prediction of supersonic flutter characteristics of such structures.
- 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 in predicting and reducing response of periodically stiffened structures to random excitations
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
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.
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