Vibrations of Elastic Plates

1. Front Matter

   Pages i-xiii

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2. Nonlinear Elasticity Theory

   • Yi-Yuan Yu

   Pages 1-30

3. Linear Vibrations of Plates Based on Elasticity Theory

   • Yi-Yuan Yu

   Pages 31-55

4. Linear Modeling of Homogeneous Plates

   • Yi-Yuan Yu

   Pages 57-89

5. Linear Modeling of Sandwich Plates

   • Yi-Yuan Yu

   Pages 91-114

6. Linear Modeling of Laminated Composite Plates

   • Yi-Yuan Yu

   Pages 115-129

7. Linear Vibrations Based on Plate Equations

   • Yi-Yuan Yu

   Pages 131-149

8. Nonlinear Modeling for Large Deflections of Beams, Plates, and Shallow Shells

   • Yi-Yuan Yu

   Pages 151-168

9. Nonlinear Modeling and Vibrations of Sandwiches and Laminated Composites

   • Yi-Yuan Yu

   Pages 169-192

10. Chaotic Vibrations of Beams

    • Yi-Yuan Yu

    Pages 193-207

11. Nonlinear Modeling of Piezoelectric Plates

    • Yi-Yuan Yu

    Pages 209-225

12. Back Matter

    Pages 227-228

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This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model­ ing of sandwiches, and the second on laminated composites and piezoelec­ tric layers.

• beam
• chaos
• shells
• stress
• structure
• vibration

• New Jersey Institute of Technology, Newark, USA

  Yi-Yuan Yu

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