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Eigenvalues of inhomogeneous structures : unusual closed-form solutions / Isaac Elishakoff.

By: Material type: TextTextPublisher: Boca Raton, Fla. : CRC Press, [2005]Copyright date: ©2005Description: xiv, 729 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0849328926
  • 9780849328923
Subject(s): DDC classification:
  • 624.176015118 22
LOC classification:
  • TA654 .E495 2005
Contents:
Ch. 1. Introduction : review of direct, semi-inverse and inverse eigenvalue problems -- Ch. 2. Unusual closed-form solutions in column buckling -- Ch. 3. Unusual closed-form solutions for rod vibrations -- Ch. 4. Unusual closed-form solutions for beam vibrations -- Ch. 5. Beams and columns with higher-order polynomial eigenfunctions -- Ch. 6. Influence of boundary conditions on Eigenvalues -- Ch. 7. Boundary conditions involving guided ends -- Ch. 8. Vibration of beams in the presence of an axial load -- Ch. 9. Unexpected results for a beam on an elastic foundation or with elastic support -- Ch. 10. Non-polynomial expressions for the beam's flexural rigidity for buckling or vibration -- Ch. 11. Circular plates.
Review: "This book offers a new treatment of closed-form solutions for semi-inverse eigenvalue problems. This work offers closed-form solutions for eigenfrequencies and buckling loads of bars, beams, and plates. An overwhelming majority of solutions have been derived for the first time since the first eigenvalue problem was solved by Leonhard Euler 260 years ago. The exact solutions in this book have applications that allow for the design of tailored and/or functionally graded structures."--BOOK JACKET.
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Includes bibliographical references (pages 653-710) and index.

Ch. 1. Introduction : review of direct, semi-inverse and inverse eigenvalue problems -- Ch. 2. Unusual closed-form solutions in column buckling -- Ch. 3. Unusual closed-form solutions for rod vibrations -- Ch. 4. Unusual closed-form solutions for beam vibrations -- Ch. 5. Beams and columns with higher-order polynomial eigenfunctions -- Ch. 6. Influence of boundary conditions on Eigenvalues -- Ch. 7. Boundary conditions involving guided ends -- Ch. 8. Vibration of beams in the presence of an axial load -- Ch. 9. Unexpected results for a beam on an elastic foundation or with elastic support -- Ch. 10. Non-polynomial expressions for the beam's flexural rigidity for buckling or vibration -- Ch. 11. Circular plates.

"This book offers a new treatment of closed-form solutions for semi-inverse eigenvalue problems. This work offers closed-form solutions for eigenfrequencies and buckling loads of bars, beams, and plates. An overwhelming majority of solutions have been derived for the first time since the first eigenvalue problem was solved by Leonhard Euler 260 years ago. The exact solutions in this book have applications that allow for the design of tailored and/or functionally graded structures."--BOOK JACKET.

Machine converted from AACR2 source record.

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