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The mathematical equations of motion for ground simulation of the separation trajectories of stores from aircraft are developed in this document. The equations have application to both analytical and wind tunnel captive trajectory store separation testing. The equations of motion as presented here include features not previously available in AEDC analytical and wind tunnel simulations such as arbitrary aircraft maneuvers, more rigorous models of the specific pivot hardware used by some aircraft, and downrail motions with all components of kinematic acceleration (including Corlolis effects) modeled. The data reduction equations for free-falling instrumented store models are also included.
An analytic study was conducted to evaluate anticipated ranges and required accuracies for onboard linear acceleration and angular rate (or acceleration) measurement equipment to be mounted within dynamically scaled wind tunnel drop models. Generic simulations of the separation motion of a tumbling fuel tank both at full scale and at 1/15th wind tunnel model scale were generated using an analytic trajectory simulation program coupled with a prescribed aerodynamic database. The simulations provide a basis for sizing the required instrumentation for proof of concept demonstrations of telemetry techniques in the wind tunnel. The simulations were also used as test cases to demonstrate extraction of aerodynamic information from drop data positions and orientations as read from film records via an inverse solution of the store equations of motion. The studies also aid identification and evaluation of inaccuracies associated with the basic dynamic scaling laws and standard film based data reduction techniques.
An analytic study was conducted to evaluate anticipated ranges and required accuracies for onboard linear acceleration and angular rate (or acceleration) measurement equipment to be mounted within dynamically scaled wind tunnel drop models. Generic simulations of the separation motion of a tumbling fuel tank both at full scale and at 1/15th wind tunnel model scale were generated using an analytic trajectory simulation program coupled with a prescribed aerodynamic database. The simulations provide a basis for sizing the required instrumentation for proof of concept demonstrations of telemetry techniques in the wind tunnel. The simulations were also used as test cases to demonstrate extraction of aerodynamic information from drop data positions and orientations as read from film records via an inverse solution of the store equations of motion. The studies also aid identification and evaluation of inaccuracies associated with the basic dynamic scaling laws and standard film based data reduction techniques.
Tests were conducted on a four-finned, ogive-cylinder store model which was mounted on the von Karman Gas Dynamics Facility (VKF) Captive Trajectory System (CTS) in the Arnold Engineering Development Center (AEDC) Supersonic Wind Tunnel A. The purpose of these tests was to provide information necessary for an independent check on the VKF CTS trajectory mode results. Grid and trajectory data were obtained for the store, both in the free stream and in the interference flow field of a generalized parent-aircraft model. The Mach number was 1.63, with Reynolds numbers per foot of 5.0 and 3.8 million. Grid data from these tests were used in conjunction with the Air Force Flight Dynamics Laboratory (AFFDL) Six-Degree-of-Freedom Computer Program (SDFCP) to simulate the trajectories obtained by the VKF CTS. These SDFCP simulations compared favorably with the CTS trajectories, providing an important compared favorably with the CTS trajectories, providing an important independent verification of the VKF CTS trajectory mode results. This report documents this validation effort and provides a general description of the VKF CTS as well as guidelines for potential users of this system. (Author).