Skip to main content Accessibility help
×
Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-22T17:13:22.716Z Has data issue: false hasContentIssue false

6 - Natural Frequencies and Mode Shapes

Published online by Cambridge University Press:  30 November 2009

Bruce K. Donaldson
Affiliation:
University of Maryland, College Park
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fraleigh, J. B., and Beauregard, R. A., Linear Algebra, 2nd ed., Addison-Wesley, Reading, MA, 1990, p. 238.Google Scholar
Donaldson, B., Analysis of Aircraft Structures: An Introduction, McGraw-Hill, New York, 1993.Google Scholar
Wolfram, S., Mathematica: A System for Doing Mathematics by Computer, 2nd; ed., Addison-Wesley, Redwood City, CA, 1991.Google Scholar
Leissa, A. W., Vibration of Plates, NASA SP-160, National Aeronautics and Space Administration, 1969.Google Scholar
Wylie, C. R., and Barrett, L. C., Advanced Engineering Mathematics, McGraw-Hill, New York, 1982, Section 4.2.Google Scholar
Temple, G., and Bickley, W. G., Rayleigh's Principle and Its Applications to Engineering, Dover, New York, 1956.Google Scholar
PC-MATLAB for Unix Computers, Version 3.5j, The MathWorks, Inc., South Natick, MA 01760, 1991.
Chopra, A. K., Dynamics of Structures, Theory and Applications to Earthquake Engineering, Prentice Hall, Englewood Cliffs, NJ, 1995.Google Scholar
Meirovitch, L., Analytical Methods in Vibrations, Macmillan, New York, 1967.Google Scholar
Petyt, M., Introduction to Finite Element Vibration Analysis, Cambridge University Press, Cambridge, UK, 1990.CrossRefGoogle Scholar
Kreyszig, E., Advanced Engineering Mathematics, 8th ed., John Wiley & Sons, New York, 1999.Google Scholar
Lanczos, C., “An iteration method for the solution of eigenvalue problems of linear differential and integral operators,” J. Res. Nat. Bur. Stand., 45, 1950, p. 255.CrossRefGoogle Scholar
Grimes, R. G., J. G. Lewis, and H. Simon, “A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems,” AMS-TR-166, Boeing Computer Services, Seattle, July 1991.
Dascotte, E., J. Strobbe, and H. Hua, “Sensitivity-based model updating using multiple types of simultaneous state variables,” Proceedings of the 13th International Modal Analysis Conference, Feb. 1995.
Blakely, K. D., and Walton, W. B., “Selection of measurement and parameter uncertainties for finite element revision,” Proceedings of the 2nd International Modal Analysis Conference, Feb. 1984.Google Scholar
Collins, J. D., Hart, G. C., Hasselman, T. K., and Kennedy, B., “Statistical identification of structures,” AIAA J., Vol. 12, 2, 1974.Google Scholar
Friswell, M. I., and Mottershead, J. E, Finite Element Model Updating in Structural Dynamics, Kluwer, Dordrecht, The Netherlands, 1995.CrossRefGoogle Scholar
Chapra, S. C., and Canale, R. P., Numerical Methods for Engineers, 2nd ed., McGraw-Hill, New York, 1988.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×