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Acknowledgments

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This book is the culmination of research carried out and courses taught by the authors over the years at a variety of institutions. The authors would like to thank the various research laboratories and sponsors that have supported their efforts over the years in areas related to active materials, smart structures, linearly piezoelectric systems, vibrations, control theory, and structural dynamics. These sponsors most notably include the Army Research Office, Air Force Office of Scientific Research, Office of Naval Research, and the National Science Foundation. We likewise extend our appreciation to the institutes of higher learning that have enabled and supported our efforts in teaching, research, and in disseminating the fruits of teaching and research: this volume would not have been possible without the infrastructure that makes such a sustained effort possible. In particular, we extend our gratitude to the Aerospace Engineering Department at Texas A&M University, the Department of Mechanical and Aerospace Engineering at the University of Florida, and most importantly, the Department of Mechanical Engineering at Virginia Tech. We extend our appreciation to the many colleagues that have worked with us over the years in areas related to active materials and smart structures. In particular, we thank Dr. Dan Inman for his support and for being a source of inspiration.

We also would like to specifically thank Dr. Vijaya V. N. Sriram Malladi and Dr. Sai Tej Paruchuri for their tireless efforts in editing and correcting the draft manuscript. Their meticulous attention to detail, suggestions and tireless effort has made this book a better version from its original draft. Additionally, we would like to thank our students Dr. Sheyda Davaria, Dr. Mohammad Albakri, Manu Krishnan, Mostafa Motaharibidgoli who have worked through the manuscript in order to improve its clarity. We would also like to also thank Sourabh Sangle, Murat Ambarkutuk, Lucas Tarazaga and Vanessa Tarazaga for their help in proofreading the last draft of the document. Finally, we would like to acknowledge anyone else not mentioned that contributed to the manuscript, including the students in our classes who provided valuable input throughout the years.

And, of course, we thank our families for their continued support and encouragement in efforts just like this one over the years.

Andrew J. Kurdila

Pablo A. Tarazaga

Blacksburg, VA

February, 2021

Vibrations of Linear Piezostructures

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