Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)

Although bladed disks of turbomachinery are nominally designed to be cyclically symmetric (tuned system), the vibration characteristics of all blades on a disk are slightly different due to the manufacturing tolerance, the deviation of the material property, the wear during operation, and so on. The...

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Main Authors: Yasutomo KANEKO, Toshio WATANABE, Shigetoshi MAEDA, Saiji WASHIO
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2017-10-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/83/855/83_17-00184/_pdf/-char/en
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author Yasutomo KANEKO
Toshio WATANABE
Shigetoshi MAEDA
Saiji WASHIO
author_facet Yasutomo KANEKO
Toshio WATANABE
Shigetoshi MAEDA
Saiji WASHIO
author_sort Yasutomo KANEKO
collection DOAJ
description Although bladed disks of turbomachinery are nominally designed to be cyclically symmetric (tuned system), the vibration characteristics of all blades on a disk are slightly different due to the manufacturing tolerance, the deviation of the material property, the wear during operation, and so on. These small variations break the cyclic symmetry, and split the eigenvalue pairs. The actual bladed disks with the small variations are referred to a mistuned system. Many researchers have studied mistuning, and main conclusions are while mistuning has an undesirable effect on the forced response, it has a beneficial (stabilizing) effect on the blade flutter (the self-excited vibration). Although such mistuning phenomena of bladed disks have been studied since 1980s, almost all studies focused on the amplification factor of the displacement response, and few studies researched the amplification factor of the vibratory stress response. Therefore, in the previous paper, authors studied the amplification factor expressed by the vibratory stress for the lower modes of the bladed disk, using the simple assumption. In this study, the mistuning effect expressed by the vibratory stress for the lower and higher modes are examined, using the reduced order model without any assumptions. First, formulation for evaluating the mistuning effect expressed by the vibratory stress is derived, using the reduced order model SNM (Subset of Nominal Modes). Second, the frequency response analysis of the mistuned simple bladed disk consisting of flat plates is carried out systematically. Finally, comparing the amplification factor of the displacement response with that of the vibratory stress response including the synthesized stress (Mises stress and the principal stress), mistuning phenomena expressed by the vibratory stress are clarified.
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spelling doaj.art-0fa59b2ef530429d99006359542c62712022-12-22T04:35:16ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612017-10-018385517-0018417-0018410.1299/transjsme.17-00184transjsmeStudy on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)Yasutomo KANEKO0Toshio WATANABE1Shigetoshi MAEDA2Saiji WASHIO3Department of Mechanical and Systems Engineering, Ryukoku UniversityMitsubishi Heavy Industries, Ltd.Mitsubishi Hitachi Power Systems, Ltd.Cybernet Systems Co., Ltd.Although bladed disks of turbomachinery are nominally designed to be cyclically symmetric (tuned system), the vibration characteristics of all blades on a disk are slightly different due to the manufacturing tolerance, the deviation of the material property, the wear during operation, and so on. These small variations break the cyclic symmetry, and split the eigenvalue pairs. The actual bladed disks with the small variations are referred to a mistuned system. Many researchers have studied mistuning, and main conclusions are while mistuning has an undesirable effect on the forced response, it has a beneficial (stabilizing) effect on the blade flutter (the self-excited vibration). Although such mistuning phenomena of bladed disks have been studied since 1980s, almost all studies focused on the amplification factor of the displacement response, and few studies researched the amplification factor of the vibratory stress response. Therefore, in the previous paper, authors studied the amplification factor expressed by the vibratory stress for the lower modes of the bladed disk, using the simple assumption. In this study, the mistuning effect expressed by the vibratory stress for the lower and higher modes are examined, using the reduced order model without any assumptions. First, formulation for evaluating the mistuning effect expressed by the vibratory stress is derived, using the reduced order model SNM (Subset of Nominal Modes). Second, the frequency response analysis of the mistuned simple bladed disk consisting of flat plates is carried out systematically. Finally, comparing the amplification factor of the displacement response with that of the vibratory stress response including the synthesized stress (Mises stress and the principal stress), mistuning phenomena expressed by the vibratory stress are clarified.https://www.jstage.jst.go.jp/article/transjsme/83/855/83_17-00184/_pdf/-char/enturbomachineryforced vibrationbladedampingmistuning
spellingShingle Yasutomo KANEKO
Toshio WATANABE
Shigetoshi MAEDA
Saiji WASHIO
Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)
Nihon Kikai Gakkai ronbunshu
turbomachinery
forced vibration
blade
damping
mistuning
title Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)
title_full Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)
title_fullStr Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)
title_full_unstemmed Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)
title_short Study on vibration response characteristics of mistuned bladed disk (Mistuning phenomena of higher modes evaluated by vibratory stress)
title_sort study on vibration response characteristics of mistuned bladed disk mistuning phenomena of higher modes evaluated by vibratory stress
topic turbomachinery
forced vibration
blade
damping
mistuning
url https://www.jstage.jst.go.jp/article/transjsme/83/855/83_17-00184/_pdf/-char/en
work_keys_str_mv AT yasutomokaneko studyonvibrationresponsecharacteristicsofmistunedbladeddiskmistuningphenomenaofhighermodesevaluatedbyvibratorystress
AT toshiowatanabe studyonvibrationresponsecharacteristicsofmistunedbladeddiskmistuningphenomenaofhighermodesevaluatedbyvibratorystress
AT shigetoshimaeda studyonvibrationresponsecharacteristicsofmistunedbladeddiskmistuningphenomenaofhighermodesevaluatedbyvibratorystress
AT saijiwashio studyonvibrationresponsecharacteristicsofmistunedbladeddiskmistuningphenomenaofhighermodesevaluatedbyvibratorystress