Download or read book Planar Limit Motion of Nonspinning Symmetric Missiles Acted on by Cubic Aerodynamic Moments written by Charles H. Murphy and published by . This book was released on 1961 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: IN Ballistic Research Laboratories rept. no. 1114 (AD-247 271) the nonlinear motion of symmetric missiles was analyzed by means of a perturbation technique. Owing to the algebraic complexity of this technique, it was only applied to the relatively simple problem of nearly circular motion. This report shows that the planar motion of nonspinning symmetric missiles possesses similar algebraic simplicity. The influence of various cubic static and damping moments is investigated in detail. Planar limit oscillations about a trim angle are found to exist under certain conditions. Finally, the analysis is combined with the almost circular motion analysis of BRL report no. 1114 to determine the basic features of the complete generalized amplitude plane. (Author).

Download or read book Nonlinear Motion of a Symmetric Missile Acted on by a Double valued Static Moment written by C. H. Murphy and published by . This book was released on 1967 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The static moment of a symmetric missile is usually assumed to be single-valued although double-valued moments can occur: for example, a missile with a separated flow field. The quasi-linear analysis is generalized to treat the motion of a missile with a relatively simple double-valued static moment and cubic damping moments. The associated amplitude plane is discussed and the special case of planar motion is examined in detail. The quasi-linear frequency and damping are compared with exact values and conditions for the existence of planar limit cycles are stated. (Author).

Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1962 with total page 1182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Pitching and Yawing Motion of a Spinning Symmetric Missile Governed by an Arbitrary Nonlinear Restoring Moment written by Maurice Lee Rasmussen and published by . This book was released on 1964 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Gedenschrift Raymund S nger zum 1 Todestag am 29 September 1963 written by and published by . This book was released on 1963 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Quasi linear Substitution Method for Missile Motion Caused by Strongly Nonlinear Static Moment written by Charles H. Murphy and published by . This book was released on 1963 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Aerodynamic Testing in a Free flight Spark Range written by G. L. Winchenbach and published by . This book was released on 1997 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1962 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Study of Damping in Nonlinear Oscillations written by Maurice L. Rasmussen and published by . This book was released on 1966 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book U S Government Research Reports written by and published by . This book was released on 1962 with total page 1166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NASA Technical Report written by and published by . This book was released on 1966 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Free Flight Motion of a Symmetric Missile Acted on by Nonlinear Forces and Moments written by Charles H. Murphy and published by . This book was released on 1957 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Effect of Varying Air Density on the Nonlinear Pitching and Yawing Motion of a Symmetric Missile written by CHARLES H. MURPHY and published by . This book was released on 1962 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the effect of an exponentially varying air density on the angular motion of a re-entering missile has been intensively studied for linear aerodynamic moments, this effect for nonlinear moments has only been investigated by a quasi-linear technique and this work was limited to planar motion. In this report, various modifications of the quasi-linear analysis for a cubic static moment are compared with the exact solutions and the best of these used to determine the general effect of varying density on combined pitching and yawing motion. Next the perturbation method which makes use of the exact solution for a cubic static moment is considered and the necessary modifications introduced by the varying density are made. The predicted density-gradient-induced damping for planar motion is determined for both theories and compared with the numerical integration of the exact differential equation. The perturbation prediction is found to be superior. (Author).

Download or read book Free Flight Motion of Symmetric Missiles written by Charles H. Murphy and published by . This book was released on 1963 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linearized angular motion of a symmetric missile is developed in some detail with some consideration of the rolling motion, drag, aerodynamic jump and the effect of varying coefficients. The tricyclic motion of a missile with misaligned control surfaces in briefly considered. This linear theory is, then, applied to the analysis of ballistic range data. Next, simple cubic nonlinearities in static moment and Magnus moment are treated by a quasi-linear analysis and these cubic coefficients obtained from ballistic range flight data. More generalized relations for arbitrary symmetric nonlinear terms are derived and their use in the construction of "amplitude" planes indicated. These amplitude planes have proven to be quite useful for the prediction of missile flight performance. Finally, the influence of strongly nonlinear static moments is determined by a perturbation method which makes use of two quasi-constants of the motion--total energy and angular momentum.

Download or read book Symmetric Missile Dynamic Instabilities A Review written by Charles H. Murphy and published by . This book was released on 1980 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic instabilities observed for symmetric missiles and projectiles arise from a large variety of causes. These include unstable linear damping moments, and different nonlinear in-plane and out-of-plane damping moments for non spinning re-entry vehicles, nonlinear Magnus moments for spinning missiles, and internal resonance with moving payload components. If aerodynamic trim is present, linear spin-yaw resonance can occur as well as nonlinear subharmonic motions and a number of other limit motions. This report gives a complete survey of these possibilities with a number of actual case histories.

Download or read book THE STABILITY AND REPONSE OF AN AERODYNAMIC MISSILE IN PLANE MOTION written by and published by . This book was released on 1949 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Motion of a Missile with Slight Configurational Asymmetries written by Charles H. Murphy and published by . This book was released on 1970 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quasi-linear analysis which has been successfully applied to the nonlinear angular motion of symmetric missiles is extended to include the nonlinear motion of slightly asymmetric missiles. This analysis indicates the existence of three special spin rates - zero spin, resonant spin, and approximately three times resonant spin. The exact solution for the small amplitude motion about a large trim angle of a nonspinning missile with a cubic static moment is obtained and the quasi-linear relations are shown to agree well with this exact result. Relations for a cubic damping moment and a cubic lift force are derived. (Author).