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Non-Classical Vibrations of Arches and Beams: Eigenvalues and Eigenfunctions

Non-Classical Vibrations of Arches and Beams: Eigenvalues and Eigenfunctions


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About the Book

This is a powerful aid for design and research. This monograph provides solutions to a large variety of vibration problems of arches and beams. The intent is to provide information that is not currently available and solutions for the eigenvalues and eigenfunctions problems that engineers and researchers use for the advanced analysis of dynamical behavior of arches and beams. Written by noted experts in vibration theory and optimal control of vibration, this unique resource provides eigenvalues and eigenfunctions for: Bernoulli-Euler beams on elastic foundation; beams under compressive and tensile axial loads; Bress-Timoshenko beams; non-uniform beams; optimal designed beams; non-linear vibrations; and, Arches Results are provided through numerous tables, charts, and worked solutions.

Table of Contents:
PREFACE ACKNOWLEDGMENTS NOTATION Chapter 1: Transverse Vibration Equations Chapter 2: Bernouli-Euler Beams on Elastic Linear Foundation Chapter 3: Prismatic Beams Under Compressive and Tensile Axial Loads Chapter 4: Bress-Timoshenko Uniform Prismatic Beams Chapter 5: Non-Uniform One-Span Beams Chapter 6: Optimal Designed Beams Chapter 7: Nonlinear Transverse Vibrations Chapter 8: Arches APPENDIX A: EIGENFUNCTIONS AND THEIR DERIVATIVES FOR ONE-SPAN BEAMS WITH DIFFERENT BOUNDARY CONDITIONS APPENDIX B: EIGENFUNCTIONS AND THEIR DERIVATIVES FOR MULTISPAN BEAMS WITH EQUAL LENGTH AND DIFFERENT BOUNDARY CONDITIONS APPENDIX C: SOME USEFUL DEFINITE INTEGRALS APPENDIX D: SOME ASSUMED FUNCTIONS INDEX

About the Author :
Igor A. Karnovsky has an M.A. in Civil Engineering (1962, Ukraine)Ph.D. in Structural Mechanics (1970, Ukraine)Dr.Sc. in Dynamics of Structures and Apparatus (1989, Georgia) Igor A. Karnovsky is a specialist in structural mechanics, theory of vibration, and optimal control of vibrations. He has 25 years experience of researching, teaching, and consulting and has more than 60 scientific articles and patents published. Olga Lebed has M.A. in Civil Engineering (1984, Ukraine)M.Sc. in Mathematics Education (1998, Canada)Olga Lebed is a specialist in engineering mechanics, stress analysis, and structural mechanics. She has 10 years experience as a structural engineer, researcher, and instructor. She has 12 scientific articles published. She teaches engineering courses at the British Columbia Institute of Technology.


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Product Details
  • ISBN-13: 9780071431880
  • Publisher: McGraw-Hill Education - Europe
  • Publisher Imprint: McGraw-Hill Inc.,US
  • Height: 234 mm
  • No of Pages: 239
  • Spine Width: 22 mm
  • Weight: 486 gr
  • ISBN-10: 0071431888
  • Publisher Date: 14 Jan 2004
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: Eigenvalues and Eigenfunctions
  • Width: 152 mm


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