Topics on Flexible Airplane Dynamics. Part Iii. Coupling of the Rigid and Elastic Degrees of Freedom of an Airframe


Book Description

The dynamic coupling of rigid and elastic de grees of freedom of an airplane are described by two methods. In the first, coupling is de scribed by the changes in airframe character istic equation roots caused by the introduc tion of coupling terms to the equations of mo tion. The second method employs modal response coeffients to compare the relative amplitudes of rigid and elastic degrees of freedom at each coupled mode frequency. Simple literal expres sions are obtained for each of these descrip tors and physical interpretations given. Time vector diagrams are also used to show the major parameters affecting coupling. (Author).




Topics on Flexible Airplane Dynamics: Coupling of the rigid and elastic degrees of freedom of an airframe


Book Description

pt.3: The dynamic coupling of rigid and elastic degrees of freedom of an airplane are described by two methods. In the first, coupling is described by the changes in airframe characteristic equation roots caused by the introduction of coupling terms to the equations of motion. The second method employs modal response coefficients to compare the relative amplitudes of rigid and elastic degrees of freedom at each coupled mode frequency. Simple literal expressions are obtained for each of these descriptors and physical interpretations given. Time vector diagrams are also used to show the major parameters affecting coupling. (Author).




Topics on Flexible Airplane Dynamics


Book Description

pt.3: The dynamic coupling of rigid and elastic degrees of freedom of an airplane are described by two methods. In the first, coupling is described by the changes in airframe characteristic equation roots caused by the introduction of coupling terms to the equations of motion. The second method employs modal response coefficients to compare the relative amplitudes of rigid and elastic degrees of freedom at each coupled mode frequency. Simple literal expressions are obtained for each of these descriptors and physical interpretations given. Time vector diagrams are also used to show the major parameters affecting coupling. (Author).







Topics on Flexible Airplane Dynamics: Residual stiffness effects in truncated modal analysis


Book Description

pt.3: The dynamic coupling of rigid and elastic degrees of freedom of an airplane are described by two methods. In the first, coupling is described by the changes in airframe characteristic equation roots caused by the introduction of coupling terms to the equations of motion. The second method employs modal response coefficients to compare the relative amplitudes of rigid and elastic degrees of freedom at each coupled mode frequency. Simple literal expressions are obtained for each of these descriptors and physical interpretations given. Time vector diagrams are also used to show the major parameters affecting coupling. (Author).




Topics on Flexible Airplane Dynamics: The application of flexible airframe transfer function approximations and the sensitivity of airframe transfer functions to elastic mode shapes


Book Description

pt.3: The dynamic coupling of rigid and elastic degrees of freedom of an airplane are described by two methods. In the first, coupling is described by the changes in airframe characteristic equation roots caused by the introduction of coupling terms to the equations of motion. The second method employs modal response coefficients to compare the relative amplitudes of rigid and elastic degrees of freedom at each coupled mode frequency. Simple literal expressions are obtained for each of these descriptors and physical interpretations given. Time vector diagrams are also used to show the major parameters affecting coupling. (Author).




Topics on Flexible Airplane Dynamics. Part Iv. Coupling of the Rigid and Elastic Degrees of Freedom of an Airframe - Autopilot System


Book Description

This report describes the use of the sensitivity techniques of ASD-TDR-62-1014 for locating a single sensor on an elastic airframe-autopilot system. The sensor is located such that closed loop coupling does not interfere with good closed-loop operation of the airframe. Such coupling can physically be interpreted as the generation of undesired command inputs to the autopilot caused by the detection of elastic motion by the sensor. A reasonable first loca tion for the sensor is decided by engineering judgment and the sensitivity of the closed-loop roots to sensor location is found by employing the aforementioned sensitivity techniques. Prediction of the most desirable sensor loca tion can then be made without many tedious iterations. (Author).










Topics on Flexible Airplane Dynamics. Part I. Residual Stiffness Effects in Truncated Modal Analysis


Book Description

The flexible airframe equations of motion are derived with an arbitrary number of elastic de grees of freedom included. The number of equa tions is reduced to include only those necessary for adequate dynammic representation of the air frame, and the effects of the excluded modes are shown. The result is that a matrix X sub in finity must be calculated which is a function of the flexibility represented by the excluded modes. The calculation of this matrix is com plicated by the fact that it is, in explicit form, a function of the mode shapes for the ex cluded elastic degrees of freedom. Usually only a few of these higher order mode shapes can be found withh any accuracy. The problem is resolved by identifying two quantities, X sub f and X sub f infinity, which are ssuperposable to give the complete effects of structural static deflections, X sub infinity. This physi cally satisfying result is implemented by re lating X sub f infinity and X sub f to basic geometrical, inertial, and stiffness properties. The solution is completely general and applies to all elastic systems. (Author).