The wind flutter on the wing of a newly proposed jet fighter is given by the following 1st order differential equation: With the Boundary Condition: y(0) = 1 (remember this means that y = 1 when x = 0) Determine the vertical motion (y) in terms of the span (x) of the wing. The frequency of fluctuations of the wing at mach 2 is given by the non-homogenous 2nd order differential equation: With the boundary conditions: y(0) = 1 and y(1) = 0 (i.e., y = 1 when x = 0 and y = 0 when x = 1) By solving the homogenous form of this equation, complete the analysis and determine the amplitude (y) of vibration of the wing tip at mach 2. Critically evaluate wing flutter and fluctuation frequency amplitude determined by solving the two differential equations above.
The wind flutter on the wing of a newly proposed jet fighter is given by the following 1st order differential equation:
With the Boundary Condition: y(0) = 1 (remember this means that y = 1 when x = 0)
Determine the vertical motion (y) in terms of the span (x) of the wing.
The frequency of fluctuations of the wing at mach 2 is given by the non-homogenous 2nd order differential equation:
With the boundary conditions: y(0) = 1 and y(1) = 0 (i.e., y = 1 when x = 0 and y = 0 when x = 1)
By solving the homogenous form of this equation, complete the analysis and determine the amplitude (y) of vibration of the wing tip at mach 2.
Critically evaluate wing flutter and fluctuation frequency amplitude determined by solving the two differential equations above.
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