Air Commando Fighters of World War II by Edward Young

By Edward Young

Air Commando warring parties of global warfare II

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105) Similarly, the auto spectral density of M (t ) may be obtained by taking the Fourier transform on either side of Eq. 106) 0 and applying Eq. 107) 00 where Sq y ( Δx , ω ) is the cross spectral density of the fluctuating part q y ( x , t ) of the distributed load, and Δx = x 2 − x1 is spatial separation. e. 111) Under ideal conditions Eqs. 105 should render identical results. Obviously, Eq. 111 contains frequency domain integration as well as spatial averaging. The necessity of a transition from the product of two line integrals into a volume integral in Eq.

40) (1 − x )n ≈ 1 − n ⋅ x has been applied, assuming that ln ⎣⎡ fx ( 0 ) ⋅ T ⎦⎤ is large as compared to ln κ . 5772 is the Euler constant. 43) 32 2 SOME BASIC STATISTICAL CONCEPTS IN WIND ENGINEERING Fig. 45) For fairly broad banded processes this peak factor will render values between 2 and 5. Plots of kp and σ xmax σ x are shown in Fig. 10. 47) and thus, for such a process xmax = cx = σ x ⋅ 2 . Therefore, Eq. 45 is only applicable for fairly broad banded processes. e. it is the frequency domain counterpart to the concept of variance.

E. variance) averaging in space. 105) Similarly, the auto spectral density of M (t ) may be obtained by taking the Fourier transform on either side of Eq. 106) 0 and applying Eq. 107) 00 where Sq y ( Δx , ω ) is the cross spectral density of the fluctuating part q y ( x , t ) of the distributed load, and Δx = x 2 − x1 is spatial separation. e. 111) Under ideal conditions Eqs. 105 should render identical results. Obviously, Eq. 111 contains frequency domain integration as well as spatial averaging.

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