Blade fatigue life assessment with application

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Reference no: EM131076433

Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. The  article "Blade  Fatigue Life Assessment with Application to VAWTS" (J. of Solar Energy Engr., 1982: 107-111) proposes the Rayleigh distribution, with pdf

as a model for the X distribution.

a. Verify that f(x;θ) is a legitimate pdf.

b. Suppose θ = 100 (a value suggested by a graph in the article). What is the probability that X is at most 200? Less than 200? At least 200?

c. What is the probability that X is between 100 and 200 (again assuming θ = 100)?

d. Give an expression for P(X ≤ x).

Reference no: EM131076433

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