Modeling method for aircraft longitudinal phase plane directly based on three-dimensional model
A technology for longitudinal and three-dimensional models of aircraft, which is applied in the field of aircraft longitudinal phase plane modeling directly based on three-dimensional models, and can solve problems such as unsafe, nonlinear phenomena, system instability, and unsafe flight of analytical models, so as to avoid instability. , the effect of convenient analysis
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[0017] Refer to figure 1 The process, taking an aircraft as an example to illustrate the specific implementation.
[0018] The longitudinal aerodynamic force and moment model of an aircraft is
[0019]
[0020] Where:
[0021]
[0022] Same below;
[0023] After equivalent analysis and processing, the second-order differential equation is obtained—the phase plane analysis model is
[0024]
[0025] among them ;
[0026] figure 2 Described in and The phase plane diagram within the range indicates that the system is conditionally stable to the initial state, with both initial values that make the system stable and initial values that make the system unstable;
[0027] If the aerodynamic force is neglected in the aerodynamic moment equation, that is , The phase plane analysis model obtained is
[0028]
[0029] among them:
[0030]
[0031] image 3 Describes the use of incorrect approximation methods and the The phase plane diagram within the range, the result obtained is that ...
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