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Mathematical models for calculating flexible swash-plate effects on vibratory and mechanical stability characteristics of helicopter rotor systems
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Program has been developed that analytically determines effects of nonuniform swash-plate support stiffness, swash-plate flexibility, and out-of-blade track on vibratory mechanical stability characteristics of helicopter rotor systems. Analysis is based on combined Laplace transform and associated matrix approach.
A monograph on problems of stability of equilibrium of mechanical systems with follower forces is presented. Concepts of stability and criteria of stability are reviewed briefly, together with means of analytical specification of follower forces. Nondissipative systems with two degrees of freedom are discussed, and destabilizing effects due to various types of dissipative forces both in discrete and continuous systems, are treated. The analyses are accompanied by some quantative experiments and observations on demonstrational laboratory models.
The scope of any aerodynamic formulation proposing to embrace a range of possible maneuvers is shown to be determined principally by the extent to which the aerodynamic indicial response is allowed to depend on the past motion. Starting from the linearized formulation, in which the indicial response is independent of the past motion, two successively more comprehensive statements about the dependence on the past motion are assigned to the indicial response: (1) dependence only on the recent past and (2) dependence additionally on a characteristic feature of the distant past. The first enables the rational introduction of nonlinear effects and accommodates a description of the rate dependent aerodynamic phenomena characteristic of airfoils in low speed dynamic stall; the second permits a description of the double valued aerodynamic behavior characteristic of certain kinds of aircraft stall. An aerodynamic formulation based on the second statement, automatically embracing the first, may be sufficiently comprehensive to include a large part of the aircraft's possible maneuvers. The results suggest a favorable conclusion regarding the role of dynamic stability experiments in flight dynamics studies.
The scope of any aerodynamic formulation proposing to embrace a range of possible maneuvers is shown to be determined principally by the extent to which the aerodynamic indicial response is allowed to depend on the past motion. Starting from the linearized formulation, in which the indicial response is independent of the past motion, two successively more comprehensive statements about the dependence on the past motion are assigned to the indicial response (1) dependence only on the recent past and (2) dependence additionally on a characteristic feature of the distant past. The first enables the rational introduction of nonlinear effects and accommodates a description of the rate-dependent aerodynamic phenomena characteristic of airfoils in low-speed dynamic stall; the second permits a description of the double-valued aerodynamic behavior characteristic of certain kinds of aircraft stall. An aerodynamic formulation based on the second statement, automatically embracing the first, may be sufficiently comprehensive to include a large part of the aircraft's possible maneuvers. The results suggest a favorable conclusion regarding the role of dynamic stability experiments in flight dynamics studies.
Synchronous and induction generators are considered. A comparison is made between wind turbines, steam, and hydro units. The unusual phenomena associated with wind turbines are emphasized. The general control requirements are discussed, as well as various schemes for torsional damping such as speed sensitive stabilizer and blade pitch control. Integration between adjacent wind turbines in a wind farm is also considered.
The longevity of a number of inverted-V electron precipitation events was measured by comparing electron distributions acquired from the two Dynamics Explorer spacecraft during close proximity passes through the southern auroral zone. Common events were identified in the two data sets for time separations up to 18 min. The maximum energy attained within an inverted-V sometimes varied between observations indicating growth or decay of the event. The number of events increasing in energy was roughly equal to those exhibiting decreasing energy, suggesting similar time scales for growth and decay. Observations closely spaced in time (minutes) had some events not in common, implying either a sudden cessation of the event or a limited spatial extent precluding observation by one of the two spacecraft due to its orbital displacement. A statistical study of 28 close proximity passes showed that the number of matched inverted-V events exceeded those which were unmatched. This was not true for comparisons of random pairs of electron distribution plots for the two spacecraft. This implies that the close proximity events observed by both spacecraft were not just random coincidences.
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In the course of a stability and control investigation of the D-558--1 airplane, rudder kicks were made at a Mach number of 0.72 at a pressure altitude of 8500 feet. The lateral oscillations resulting from the rudder kicks required 1 1/2 seconds to damp to half amplitude and had a period of 1.1 seconds. The Navy requirement which specifies the damping of lateral oscillations was satisfied by a small margin. The oscillation damps completely leaving no residual constant amplitude oscillation. The yawing oscillation produces an oscillation in pitch which apparently is caused by the gyroscopic moment of the engine.
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Explore the source record for details and available documents.