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Vibration of Functionally Graded Beams and Plates

This comprehensive book on functionally graded beams and plates uses the latest numerical investigation techniques to describe the vibration characteristics of these types of beams and plates, which are of particular interest to industries such as nuclear power, aerospace, and automotive engineering

Snehashish Chakraverty (Author), Karan Kumar Pradhan (Author)

9780128042281, Elsevier Science

Paperback, published 26 January 2016

248 pages
22.9 x 15.1 x 1.7 cm, 0.28 kg

Vibration of Functionally Graded Beams and Plates uses numerically efficient computational techniques to analyze vibration problems associated with FG beams and plates. Introductory material on FG materials and structural members, as well as a range of vibration and shear deformation theories are discussed, providing a valuable summary of these broader themes.

The latest research and analysis of vibration in FG materials is presented in an application-oriented manner, linking the research to its importance in fields such as aerospace, nuclear power, and automotive engineering.

The book also features research on the complicating effects of thermal environments, piezoelectricity, and elastic foundations. The innovative computational procedures and simulation results are shown in full throughout, providing a uniquely valuable resource for users of numerical modeling software.

This book is essential reading for any researcher or practitioner interested in FG materials, or the design of technology for the nuclear power, aerospace, and automotive industries.

1. Introduction2. Origin and basics of functionally graded structural members2.1. History of FG materials2.2. Variation of material properties (power-law and exponential laws)3. Analytical and numerical methods3.1. History of various methods3.2. Analytical Methods3.3. Computational procedure of numerical method(s)4. Functionally graded beams4.1. Power-law variation4.2. Shear deformation beam theories4.3. Kinematic relations 4.4. Vibration of FG beams5. Functionally graded plates5.1. Power-law and exponential law variation5.2. Classical plate theory5.3. Kinematic relations6. Vibration of rectangular FG plates 6.1. Power-law variation6.2. Exponential law variation7. Vibration of circular and elliptic FG plates 8. Vibration of triangular FG plates 9. Functionally graded plates with complicating effects9.1. Thermal environments9.2. Elastic foundations9.3. Piezoelectricity10. Practical examples and experimental studies

Subject Areas: Acoustic & sound engineering [TTA], Materials science [TGM], Mechanical engineering [TGB]

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