Vibration of Periodic Structures : Applications to Structural Dynamics, Acoustics, and Supersonic Panel Flutter

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

• 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

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.