1. Blade manufacturing tolerances definition for a mistuned industrial bladed disk
- Author
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Christian Soize, Jean-Pierre Lombard, Eric Seinturier, Christian Dupont, Evangéline Capiez-Lernout, Laboratoire de Mécanique (LaM), Université Paris-Est Marne-la-Vallée (UPEM), SNECMA Villaroche [Moissy-Cramayel], Safran Group, ASME, Turbomeca, and Soize, Christian
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[PHYS.MECA.VIBR] Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph] ,[MATH.MATH-PR] Mathematics [math]/Probability [math.PR] ,Engineering ,Monte Carlo method ,Mechanical engineering ,02 engineering and technology ,Mistuning ,statistical inverse method ,01 natural sciences ,Physics::Fluid Dynamics ,mistuned bladed-disk ,0203 mechanical engineering ,[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST] ,0202 electrical engineering, electronic engineering, information engineering ,010301 acoustics ,Reliability (statistics) ,[PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph] ,random matrix ,Structural engineering ,blade tolerances ,Inverse problem ,[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] ,modeling errors ,020303 mechanical engineering & transports ,Fuel Technology ,[SPI.MECA.VIBR] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] ,nonparametric probabilistic method ,Chord (geometry) ,Blade (geometry) ,model uncertainties ,uncertainty quantification ,020209 energy ,bladed disk ,Energy Engineering and Power Technology ,Aerospace Engineering ,Context (language use) ,0103 physical sciences ,mistuning ,mistuned bladed disk ,Uncertainty quantification ,blade manufacturing tolerances ,business.industry ,Mechanical Engineering ,[SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph] ,Statistical model ,Function (mathematics) ,structural dynamics ,Stiffening ,[MATH.MATH-PR]Mathematics [math]/Probability [math.PR] ,Nuclear Energy and Engineering ,unertainty quantification ,random vibrations ,business - Abstract
This paper deals with the characterization of the blade manufacturing geometric tolerances in order to get a given level of amplification in the forced response of a mistuned bladed-disk. It is devoted to an industrial application in order to validate the theory previously developed [1] and in order to show that this theory is suited to any industrial bladed-disks. It should be noted that the development of an adapted methodology for solving the inverse problem, in order to characterize the manufacturing tolerances, is an important challenge for industries in this area. Let us recall that this theory is based on the use of a nonparametric probabilistic model of random uncertainties in the blade [2]. The dispersion parameters controlling the nonparametric model are estimated as a function of the geometric tolerances. Such an identification is carried out in a computational context by using the numerical Monte Carlo simulation and by using the reduced model method presented in [3]. The industrial application is devoted to the mistuning analysis of a 22 blades wide chord fan stage. Centrifugal stiffening due to rotational effects is also included. The results obtained validate the efficiency and the reliability of the method on three dimensional bladed disks.
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