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Linear Piezoelectric Plate Vibrations

Elements of the Linear Theory of Piezoelectricity and the Vibrations Piezoelectric Plates

  • Book
  • © 1969

Overview

Authors:
  1. H. F. Tiersten

    1. Bell Telephone Laboratories, Incorporated, Murray Hill, USA
      Department of Mechanics, Rensselaer Polytechnic Institute, Troy, USA

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xv
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  2. Elements of Vector and Tensor Notation

    1. Elements of Vector and Tensor Notation

      • H. F. Tiersten
      Pages 1-8

  3. Elements of the Linear Theory of Piezoelectricity

    1. Front Matter

      Pages 9-9
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    2. Mechanical Considerations

      • H. F. Tiersten
      Pages 11-16

    3. Infinitesimal Deformation Theory

      • H. F. Tiersten
      Pages 17-24

    4. Electromagnetic Considerations

      • H. F. Tiersten
      Pages 25-32

    5. The Linear Theory of Piezoelectricity

      • H. F. Tiersten
      Pages 33-39

    6. Hamilton’s Principle

      • H. F. Tiersten
      Pages 41-50

    7. Material Symmetry Considerations

      • H. F. Tiersten
      Pages 51-61

  4. Fundamental Standing Wave Solutions

    1. Front Matter

      Pages 63-63
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    2. Some Aspects of the Theory of Waves and Vibrations

      • H. F. Tiersten
      Pages 65-80

    3. Thickness Vibrations of Plates

      • H. F. Tiersten
      Pages 81-93

    4. Two-Dimensional Standing Waves in Elastic Plates

      • H. F. Tiersten
      Pages 95-118

    5. Two-Dimensional Standing Waves in Piezoelectric Plates

      • H. F. Tiersten
      Pages 119-126

  5. Approximation Techniques and Applications

    1. Front Matter

      Pages 127-127
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    2. Expansion in Plate Eigensolutions

      • H. F. Tiersten
      Pages 129-139

    3. Two-Dimensional Piezoelectric Plate Equations

      • H. F. Tiersten
      Pages 141-168

    4. Mechanical Effect of Electrode Plating

      • H. F. Tiersten
      Pages 169-178

    5. Some Electrical Circuit Considerations

      • H. F. Tiersten
      Pages 179-182

    6. Application to a Monolithic Structure

      • H. F. Tiersten
      Pages 183-201
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Keywords

Authors and Affiliations

  • Bell Telephone Laboratories, Incorporated, Murray Hill, USA

    H. F. Tiersten

  • Department of Mechanics, Rensselaer Polytechnic Institute, Troy, USA

    H. F. Tiersten

Bibliographic Information

  • Book Title: Linear Piezoelectric Plate Vibrations

  • Book Subtitle: Elements of the Linear Theory of Piezoelectricity and the Vibrations Piezoelectric Plates

  • Authors: H. F. Tiersten

  • DOI: https://doi.org/10.1007/978-1-4899-6453-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1969

  • Softcover ISBN: 978-1-4899-6221-8Published: 01 January 1969

  • eBook ISBN: 978-1-4899-6453-3Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XV, 212

  • Topics: Condensed Matter Physics, Energy Harvesting

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