Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-84b7d79bbc-4hvwz Total loading time: 0 Render date: 2024-07-27T23:13:29.638Z Has data issue: false hasContentIssue false

15 - Mathematics of Rotating Systems

Published online by Cambridge University Press:  05 May 2013

Wayne Johnson
Wayne Johnson
Affiliation:
Aeromechanics Branch of NASA Ames Research Center
Get access

Summary

A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Rotorcraft Aeromechanics , pp. 545 - 581
Publisher: Cambridge University Press
Print publication year: 2013

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

Berman, A. “A New Approach to Rotor Blade Dynamic Analysis.” Journal of the American Helicopter Society, 10:3 (July 1965).CrossRefGoogle Scholar
Bir, G., Chopra, I., and Nguyen, K. “Development of UMARC (University of Maryland Advanced Rotorcraft Code).” American Helicopter Society 46th Annual Forum, Washington, DC, May 1990.Google Scholar
Chopra, I., and Sivaneri, N.T. “Aeroelastic Stability of Rotor Blades Using Finite Element Analysis.” NASA CR 166389, August 1982.Google Scholar
Coleman, R.P. “Theory of Self-Excited Mechanical Oscillations of Hinged Rotor Blades.” NACA ARR 3G29, July 1943.Google Scholar
Coleman, R.P., and Feingold, A.M. “Theory of Ground Vibrations of a Two-Blade Helicopter Rotor on Anisotropic Flexible Supports.” NACA TN 1184, January 1947.Google Scholar
DeRusso, P.M., Roy, R.J., and Close, C.M.State Variables for Engineers. New York: John Wiley and Sons, Inc., 1965.Google Scholar
Friedmann, P.P. “Formulation and Solution of Rotary-Wing Aeroelastic Stability and Response Problems.” Vertica, 7:2 (1983).Google Scholar
Friedmann, P.P. “Numerical Methods for Determining the Stability and Response of Periodic Systems with Application to Helicopter Rotor Dynamics and Aeroelasticity.” Computers and Mathematics with Applications, 12A:1 (1986).Google Scholar
Gessow, A. “Equations and Procedures for Numerically Calculating the Aerodynamic Characteristics of Lifting Rotors.” NACA TN 3747, October 1956.Google Scholar
Grodko, L.N. “Ground Resonance.” In Helicopter, Calculation and Design, Mil, M.L., et al. Moscow: Izdatel'stvo Mashinostroyeniye, 1966. Translation “Vibrations and Dynamic Stability”, NASA TT F-519, May 1968.Google Scholar
Hoffman, J.A. “A Multi-Blade Coordinate Transformation Procedure for Rotors with Two Blades.” Paragon Pacific Inc., Report PPI-1014-5, September 1976.Google Scholar
Hohenemser, K.H., and Yin, S.-K. “Some Applications of the Method of Multiblade Coordinates.” Journal of the American Helicopter Society, 17:3 (July 1972).Google Scholar
Johnson, R.L., and Hohenemser, K.H. “On the Dynamics of Lifting Rotors with Thrust or Tilting Moment Feedback Controls.” Journal of the American Helicopter Society, 15:1 (January 1970).CrossRefGoogle Scholar
Johnson, W. “Development of a Comprehensive Analysis for Rotorcraft. Part II – Aircraft Model, Solution Procedure, and Applications.” Vertica, 5:3 (1981).Google Scholar
Miller, R.H. “Helicopter Control and Stability in Hovering Flight.” Journal of the Aeronautical Sciences, 15:8 (August 1948).CrossRefGoogle Scholar
Peters, D.A. “Fast Floquet Theory and Trim for Multi-Bladed Rotorcraft.” Journal of the American Helicopter Society, 39:4 (October 1994).CrossRefGoogle Scholar
Peters, D.A., and Izadpanah, A.P. “Helicopter Trim by Periodic Shooting with Newton-Raphson Iteration.” American Helicopter Society 37th Annual Forum, New Orleans, LA, May 1981.Google Scholar
Tanner, W.H. “Charts for Estimating Rotary Wing Performance in Hover and at High Forward Speeds.” NASA CR 114, November 1964.Google Scholar
Young, M.I., and Lytwyn, R.T. “The Influence of Blade Flapping Restraint on the Dynamic Stability of Low Disk Loading Propeller-Rotors.” Journal of the American Helicopter Society, 12:4 (October 1967).CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org 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
×