tailieunhanh - Applied Structural and Mechanical Vibrations 2009 Part 11

Tham khảo tài liệu 'applied structural and mechanical vibrations 2009 part 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Gem Gme Grn Gnr Gen Grnr G 0 three cases of interest will be discussed in the following. Case 1. Noise in excitation signal no noise in response signal Since n t 0 eqs become omitting for brevity of notation the frequency dependence Gff Gee 4- Gm Gxx Grr Gfx Ger Evaluation of H1 according to eq gives H Gee Gni 1 GmmỊGee where the fist of eqs has been taken into account. It follows that the true FRF is generally underestimated owing to the denominator being greater than unity. The phase information however is correct because it comes from the error-free cross-spectrum autospectra contain magnitude information only . On the other hand evaluation of H2 according to eq taking into account leads to showing that under the assumption of uncorrelated noise H2 is insensitive to noise in the input signal. At this point it is important to remember the intrinsic statistical nature of this whole discussion and note that eqs and are strictly true for an infinite number of measurements in a real-world situation . finite number of averages what these formula imply is that when noise is present in the excitation signal only then H1 v is a biased estimator of the true FRF H v while H2 v is an unbiased and therefore preferable estimator of H v . The coherence function in this case is given by 1 Gmml Gee and as expected depends on the signal-to-noise ratio Gee Gmtn-. the lower the signal-to-noise ratio the closer the value of coherence to unity. Also Copyright 2003 Taylor Francis Group LLC from eq we get n _ Gee 72 S N - Gmfn 1 - 72 In this regard it is interesting to note that since GeeH Ger implies in this case Gee Gfx Hi from the definition of H2 eq we get _ GV 2 . G. .- Gxx and also since Gmm Gff Gee we have also G 2 Grnrn Gff-- Gxx Equations and show that both Gee and Gmm although they cannot be directly measured can be calculated strictly speaking estimated in terms of

TỪ KHÓA LIÊN QUAN
crossorigin="anonymous">
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.