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The nonlinear analysis was performed for the motion of a rolling reentry vehicle for the case of variable roll rate, dynamic pressure, and stability derivatives. The roll degree of freedom is coupled with the pitch and yaw degree of freedom instead of assuming a priori the variation of the roll rate.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.
Asymptotic expansions of maximum response angle as well as resonance response angles are derived for constant spin acceleration and for spin acceleration to steady state spin. These show that the important parameter to be considered is the ratio of missile damping rate to the square root of spin acceleration at resonance. Predictions of the approximate theory are compared with exact numerical calculation for a variety of missiles and excellent agreement is seen for moderately damped missiles. (Author).