Academic literature on the topic 'Rotating damage model'

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Journal articles on the topic "Rotating damage model"

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Yao, Hong Liang, Chun Yu Zhao, Wei Sun, and Bang Chun Wen. "Model Based Online Diagnosis of Rotating Machinery Structural Damage." Key Engineering Materials 353-358 (September 2007): 2289–92. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.2289.

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Structural damage often happens in rotating machinery such as steam engines, aircraft engines, and compressors due to the high-speed rotating of the shaft. The most common structural damages in rotating machinery are rotor shaft crack, rotor to stator rub, and bolts looseness and so on. In the present paper, the model based identification method is used to detect single structural damage such as crack, rotor to stator rub, pedestal looseness, and also, coupling fault such as rotor to stator rub and crack, crack and pedestal looseness. Utilizing the characteristic that equivalent loads of rub forces are internal forces, and the equivalent loads of the crack are external moments, the coupling faults of crack and rub-impact and crack and pedestal looseness are analyzed and exampled. The merit of the method is that it is an online diagnosis method, which provides early warning of machine failure. Theoretical simulation and laboratory testing are conducted to validate the method.
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Jirásek, Milan, and Thomas Zimmermann. "Rotating Crack Model with Transition to Scalar Damage." Journal of Engineering Mechanics 124, no. 3 (March 1998): 277–84. http://dx.doi.org/10.1061/(asce)0733-9399(1998)124:3(277).

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Bhargav Sai, Cherukuri, and D. Mallikarjuna Reddy. "Dynamic Analysis of Faulty Rotors through Signal Processing." Applied Mechanics and Materials 852 (September 2016): 602–6. http://dx.doi.org/10.4028/www.scientific.net/amm.852.602.

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In this study, an effective method based on wavelet transform, for identification of damage on rotating shafts is proposed. The nodal displacement data of damaged rotor is processed to obtain wavelet coefficients to detect, localise and quantify damage severity. Because the wavelet coefficients are calculated with various scaled indices, local disturbances in the mode shape data can be found out in the finer scales that are positioned at local disturbances. In the present work the displacement data are extracted from the MATLAB model at a particular speed. Damage is represented as reduction in diameter of the shaft. The difference vectors between damaged and undamaged shafts are used as input vectors for wavelet analysis. The measure of damage severity is estimated using a parameter formulated from the distribution of wavelet coefficients with respect to the scales. Diagnosis results for different damage cases such as single and multiple damages are presented.
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Sun, He Yang, Ji Sheng Ma, Jia Jun Yao, Hai Ping Liu, and Wei Li. "Dynamic Analysis on the Rotating Band’s Engraving Process." Advanced Materials Research 139-141 (October 2010): 1285–88. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.1285.

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The Johnson-Cook yielding criteria model, the initial damage model and the progressive damage and failure constitute model have been introduced into the constitutive equations of the rotating band. By using the penalty function method, the dynamic contact model has been introduced and an explicit dynamics finite element model has been established. The process of the rotating band impacting the throat bore was molded based on the elastic-plastic contact finite element theory. The rotating band pulling in and impacting the throat bore was simulated by the numerical computation. The dynamic responses of the rotating band and the projectile were obtained. And the stress distribution of the throat bore was studied. The influences of the engraving process on the interior ballistics were studied through the numerical computation.
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Huang, Shiping, Yong Tang, Zhaoxun Yuan, and Xiaopeng Cai. "An Efficient Contact Model for Rotating Mechanism Analysis and Design in Bridge Construction." Baltic Journal of Road and Bridge Engineering 16, no. 1 (March 29, 2021): 57–76. http://dx.doi.org/10.7250/bjrbe.2021-16.515.

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The rotation superstructure construction method is a widespread technique in bridge engineering. The critical issue for the successful application of this technique is the contact interface analysis and design for the rotating mechanism. A semi-analytical method predicated upon obtaining a uniform distribution of pressure on the slide plates within the interface is proposed. The surface design typically generates a nonlinear stress distribution. It leads to local damage and local asperity interlocking, which increase the contact friction dramatically during the rotation. In contrast, the proposed approach provides a surface that avoids stress concentrations and is expected to reduce the material cost of the slide plates. The proposed method is verified by the Finite Element Model. It can be used in a broad area involving contacting surface design, especially in the rotating mechanism design for bridge construction.
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Gu, Jiawei, Gang Liu, and Mengzhu Li. "Damage Detection for Rotating Blades Using Digital Image Correlation with an AC-SURF Matching Algorithm." Sensors 22, no. 21 (October 23, 2022): 8110. http://dx.doi.org/10.3390/s22218110.

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The motion information of blades is a key reflection of the operation state of an entire wind turbine unit. However, the special structure and operation characteristics of rotating blades have become critical obstacles for existing contact vibration monitoring technologies. Digital image correlation performs powerfully in non-contact, full-field measurements, and has increasingly become a popular method for solving the problem of rotating blade monitoring. Aiming at the problem of large-scale rotation matching for blades, this paper proposes a modified speeded-up robust features (SURF)-enhanced digital image correlation algorithm to extract the full-field deformation of blades. Combining an angle compensation (AC) strategy, the AC-SURF algorithm is developed to estimate the rotation angle. Then, an iterative process is presented to calculate the accurate rotation displacement. Subsequently, with reference to the initial state of rotation, the relative strain distribution caused by flaws is determined. Finally, the sensitivity of the strain is validated by comparing the three damage indicators including unbalanced rotational displacement, frequency change, and surface strain field. The performance of the proposed algorithm is verified by laboratory tests of blade damage detection and wind turbine model deformation monitoring. The study demonstrated that the proposed method provides an effective and robust solution for the operation status monitoring and damage detection of wind turbine blades. Furthermore, the strain-based damage detection algorithm is more advantageous in identifying cracks on rotating blades than one based on fluctuated displacement or frequency change.
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Maslen, E. H., C. K. Sortore, J. A. Va´zquez, and C. R. Knospe. "Synchronous Response Estimation in Rotating Machinery." Journal of Engineering for Gas Turbines and Power 124, no. 2 (March 26, 2002): 357–62. http://dx.doi.org/10.1115/1.1417482.

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Synchronous response estimation attempts to determine the forced response (displacement) of a rotor at critical points which cannot be measured directly. This type of prediction, if accurate and reliable, has broad potential use in the rotating machinery industry. Many machines have close clearance points on their shafts, such as seals, which can easily be damaged by excess vibration. Accurate estimates of the actual level of vibration at these points could usefully assist machine operators in troubleshooting and in protecting the equipment from expensive damage. This type of response information can be used both to generate less conservative alarm limits and, if magnetic bearings are available, to directly guide the bearing controllers in restricting the rotor motion at these critical points. It is assumed that the disturbance forces acting upon the rotor are predominantly synchronous. The response estimate is constructed using the measurable response in conjunction with an estimator gain matrix derived from a model of the transmissibilities of the rotor system. A fundamental performance bound is established based on the single-speed set of measurements by bounding the response to the unmeasurable component of the disturbance force. Acknowledging that some model uncertainty will always exist, a robust performance analysis is developed using structured singular value (μ) analysis techniques. Assuming some reasonable levels of uncertainty for the model parameters (natural frequencies, modal dampings, mode shapes, bearing stiffnesses, and dampings) the results of the estimator construction and analysis establish feasibility of the proposed estimation. Two reference rotor models that are representative of industrially sized machines are used to demonstrate and evaluate the estimation. The unmeasurable response estimation errors consistently lie below 25 μm for the examples examined.
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Uhl, Tadeusz, and Wojciech Lisowski. "Example of Application of Experimental Modal Model for Damage Detection for a Rotating Shaft." Key Engineering Materials 293-294 (September 2005): 329–36. http://dx.doi.org/10.4028/www.scientific.net/kem.293-294.329.

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Structural properties of machinery elements and sub-assemblies are often used for diagnostic purpose. Occasionally in engineering practice for some technical objects there is no description of distribution of structural parameter values available. Results of experimental evaluation of this distribution are difficult to be applied for diagnostic purpose as a result of lack of a reference distribution for comparison purposes. Nevertheless, for some technical objects, the inherent properties of the structural parameter values distribution may be used in such a case. In the paper an example of a rotating shaft is considered for which the axial symmetry of structural parameter values distribution is expected. Application of impact testing for the purpose of identification of the modal model is an easy way to check this symmetry and to use the results for diagnostic purpose. The technique applied to an example shaft indicated its failure but proved to be inefficient in localization of the failure.
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Sun, He Yang, Ji Sheng Ma, Long Bo Sheng, Wei Li, and Da Lin Wu. "CDM Model and its Application to Numerical Simulation on Rotating Band’s Engraving Process." Applied Mechanics and Materials 117-119 (October 2011): 1672–76. http://dx.doi.org/10.4028/www.scientific.net/amm.117-119.1672.

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A coupled constitutive model of viscoplasticity and ductile damage for penetration problems has been deduced. The model proposed by Lemaitre was based on the continuum damage mechanics. In the model, large strain, high strain-rate, thermal softening and damage evolution were taken into account. At the meanwhile, Von Mises yield criterion, Johnson-Cook hardening model and Johnson-Cook fracture strain model were adopted. The model was implemented in the explicit finite element code Abaqus\Explicit through the Vumat subroutine by using an efficient explicit time integration algorithm. Based on the model, the rotating band’s engraving process was simulated, at the same time the influence of the stress state on damage evolution and the thermal softening effect was discussed. An effective way to simulate the fire process of gun was afforded.
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de Paula Monteiro, Ronant, Amanda Lucatto Marra, Renato Vidoni, Claudio Garcia, and Franco Concli. "A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks." Applied Sciences 12, no. 15 (August 4, 2022): 7814. http://dx.doi.org/10.3390/app12157814.

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Rotating machinery is fundamental in industry, gearboxes especially. However, failures may occur in their transmission components due to regular usage over long periods of time, even when operations are not intense. To avoid such failures, Structural Health Monitoring (SHM) techniques for damage prediction and in-advance detection can be applied. In this regard, correlations between measured signal variations and damage can be inspected using Artificial Intelligence (AI), which demands large numbers of data for training. Since obtaining signal samples of damaged components experimentally is currently unviable for complex systems due to destructive test costs, model-based numerical approaches are to be explored to solve this problem. To address this issue, this work applied an innovative hybrid Finite Element Method (FEM)–analytical approach, reducing computational effort and increasing performance with respect to traditional FEM. With this methodology, a system can be simulated with accuracy and without geometrical simplifications for healthy and damaged cases. Indeed, considering different positions and dimensions of damages (e.g., cracks) on the tooth roots of gears can offer new ways of damage investigation. As a reference to validate healthy systems and damage cases in terms of eigenfrequencies, a back-to-back test rig was used. Numerical simulations were performed for different cases, resulting in vibrational spectra for systems with no damage, with damage, and with damage of different intensities. The vibration spectra were used as data to train an Artificial Neural Network (ANN) to predict the machine state by Condition Monitoring (CM) and Fault Diagnosis (FD). For predicting the health and the intensity of damage to a system, classification and multi-class classification methods were implemented, respectively. Both sets of classification results presented good prediction agreement.
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Dissertations / Theses on the topic "Rotating damage model"

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Rogers, Edmond A. "Simultaneous Electrophysiological and Morphological Assessment of Impact Damage to Nerve Cell Networks." Thesis, University of North Texas, 2018. https://digital.library.unt.edu/ark:/67531/metadc1157638/.

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A ballistic pendulum impulse generator was used to impact networks in primary culture growing on microelectrode arrays. This approach has the advantage of imparting pure tangential acceleration insults (50 to 300 g) with simultaneous morphological and electrophysiological multichannel monitoring for days before and after the impact. Action potential (AP) production, network activity patterns, and cell electrode coupling of individual units using AP waveshape templates were quantified. Network adhesion was maintained after tangential impacts up to 300g with minimal loss of pre-selected active units. Time lapse phase contrast microscopy revealed stable nuclei pre-impact, but post impact nuclear rotation in 95% of observations (n= 30). All recording experiments (n=31) showed a repeatable two-phase spike production response profile: recovery to near reference in 1-2 hrs, followed by a slow activity decay to a stable, level plateau approximately 30-40% below reference. Phase 1 consisted of a complex two-step recovery: rapid activity increase to an average 23.6% (range: 11-34%) below reference, forming a level plateau lasting from 5 to 20 min, followed by a climb to within 20% of reference where a second plateau was established for 1 to 2 hrs. Cross correlation profiles showed changes in firing hierarchy after impact, and in spontaneous network oscillatory activity. Native oscillations were found in the Delta band (2 to 3 Hz), and decreased by approximately 20% after impact. Under network disinhibition with bicuculline, oscillations were slower (0.8-1Hz) and decreased 40% after impact. These data link network performance deficits with microscopically observable subcellular changes.
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Book chapters on the topic "Rotating damage model"

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Uhl, Tadeusz, Tomasz Barszcz, and Jarosław Bednarz. "Model Based SHM - Rotating Machinery Application." In Damage Assessment of Structures VI, 459–66. Stafa: Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-976-8.459.

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Uhl, Tadeusz, and Wojciech Lisowski. "Example of Application of Experimental Modal Model for Damage Detection for a Rotating Shaft." In Damage Assessment of Structures VI, 329–36. Stafa: Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-976-8.329.

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Yao, Hong Liang, Chun Yu Zhao, Wei Sun, and Bang Chun Wen. "Model Based Online Diagnosis of Rotating Machinery Structural Damage." In Key Engineering Materials, 2289–92. Stafa: Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-456-1.2289.

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Wu, Xi, Jim Meagher, and Andrew Sommer. "A Differential Planetary Gear Model with Backlash and Teeth Damage." In Rotating Machinery, Structural Health Monitoring, Shock and Vibration, Volume 5, 203–15. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-9428-8_16.

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Yoder, Nathanael C., Timothy J. Johnson, and Douglas E. Adams. "Near Real-Time Monitoring of Bead Area Damage in Rolling Tires Using a Rotating Wheel Model and Multi-Directional Vibration Data." In Damage Assessment of Structures VII, 233–38. Stafa: Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-444-8.233.

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Xu, Y. F., Da-Ming Chen, and W. D. Zhu. "Output-Only Modal Parameter Estimation Using a Continuously Scanning Laser Doppler Vibrometer System with Application to Structural Damage Detection." In Rotating Machinery, Optical Methods & Scanning LDV Methods, Volume 6, 113–24. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12935-4_13.

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dos Santos, J. V. Araújo, H. Lopes, and A. Katunin. "Damage Identification in Beams by Post-processing Modal Displacements and Rotations with Haar Wavelet." In Lecture Notes in Civil Engineering, 817–24. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64908-1_76.

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dos Santos, J. V. Araújo, H. Lopes, and A. Katunin. "Damage Identification in Beams by Post-processing Modal Displacements and Rotations with Haar Wavelet." In Lecture Notes in Civil Engineering, 817–24. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64908-1_76.

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Araújo dos Santos, J. V., J. F. A. Madeira, H. Lopes, and P. Moreno-García. "Application of Multiobjective Optimization Based on Differences of Modal Displacements and Modal Rotations for Damage Quantification in Beams." In EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization, 1009–19. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97773-7_87.

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"Simulation of concrete cracking: a numerical evaluation of the rotating crack model." In Fracture and Damage of Concrete and Rock - FDCR-2, 111–22. CRC Press, 1993. http://dx.doi.org/10.1201/9781482271287-14.

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Conference papers on the topic "Rotating damage model"

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Seibold, Susanne. "Fault Detection and Isolation Procedures Contribute to Damage Diagnosis of Rotating Machinery." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0705.

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Abstract Fault Detection and Isolation (FDI) procedures are being increasingly used for monitoring and diagnosis in the control area. In contrast to signal-based approaches, which merely rely on an analysis of the measurements, model-based FDI-procedures utilize additionally a model of the system under investigation. By linking model and measurement algorithmically, specific parameters can be calculated which indicate type, location and extent of the fault. In this paper, a concise introduction to model-based FDI-procedures is given. A specific algorithm is explained more thoroughly: the Extended Kalman Filter (EKF), which allows for simultaneous estimation of states and parameters of linear and nonlinear systems. A modal formulation of the EKF (MOKF) is presented, which is based on a modal reduction of the system equations. Furthermore, it is explained how EKF and the Instrumental Variables method can be combined. The model-based procedures will be applied to a simulated rotor, and to a rotor test rig modelled by finite elements in order to diagnose a crack in the shaft.
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Maslen, Eric H., Christopher K. Sortore, José A. Vázquez, and Carl R. Knospe. "Synchronous Response Estimation in Rotating Machinery." In ASME Turbo Expo 2000: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/2000-gt-0397.

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Synchronous response estimation attempts to determine the forced response (displacement) of a rotor at critical points which cannot be measured directly. This type of prediction, if accurate and reliable, has broad potential use in the rotating machinery industry. Many machines have close clearance points on their shafts, such as seals, which can easily be damaged by excess vibration. Accurate estimates of the actual level of vibration at these points could usefully assist machine operators in troubleshooting and in protecting the equipment from expensive damage. This type of response information can be used both to generate less conservative alarm limits and, if magnetic bearings are available, to directly guide the bearing controllers in restricting the rotor motion at these critical points. It is assumed that the disturbance forces acting upon the rotor are predominantly synchronous. The response estimate is constructed using the measurable response in conjunction with an estimator gain matrix derived from a model of the transmissibilites of the rotor system. A fundamental performance bound is established based on the single-speed set of measurements by bounding the response to the unmeasurable component of the disturbance force. Acknowledging that some model uncertainty will always exist, a robust performance analysis is developed using structured singular value (μ) analysis techniques. Assuming some reasonable levels of uncertainty for the model parameters (natural frequencies, modal dampings, mode shapes, bearing stiffnesses and dampings) the results of the estimator construction and analysis establish feasibility of the proposed estimation. Two reference rotor models that are representative of industrially sized machines are used to demonstrate and evaluate the estimation. The unmeasurable response estimation errors consistently lie below 25 μm for the examples examined.
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Hild, Francois, and Frederick A. Leckie. "Fiber Distribution in Reinforced Ceramic Rotating Discs." In ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/95-gt-094.

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Fiber pull-out of fiber reinforced brittle matrix composites is an indication of final failure. The onset of this failure mechanism can be predicted using Continuum Damage Mechanics. After deriving a damage model from a uniaxial approach, different configurations are analyzed through analytical and numerical (F.E. calculations) methods. An extension to fibers in two perpendicular directions is proposed and the failure strength of a rotating disc structure is estimated. The results of the calculations are used to define an optimal fiber distribution in the radial and circumferential directions.
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Li, Desheng. "Vibration of a Tapered Roller Bearing Excited by Localized Damage on a Rotating Cone Raceway." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67566.

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Localized damages such as spalls, dents and raised metal may develop on bearing raceways and roller bodies in operation for various reasons. They can excite bearings and adjacent mechanical structures into vibration. By measuring machine vibration, it is possible to detect potential bearing damage. However, to do so, it is critical to understand the bearing vibration characteristics that are excited by localized damages. The vibration of a TRB (tapered roller bearing) excited by a localized damage on a rotating cone (inner ring) raceway was studied using a three-dimensional, non-linear vibration model. Bearing vibration responses were analyzed in three directions. The responses exhibited multiple BPFI (ball passing frequency, inner) harmonics. The spectral envelope is determined by the bearing’s dynamic properties. The vibration characteristics in the axial direction were discovered to be different from those in the radial directions. The reason behind that is revealed in this paper.
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Anusonti-Inthra, Phuriwat, and Subhadeep Chakraborty. "On the Use of CFD and Symbolic Dynamic Filtering for Health Monitoring of Rotating Machinery." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-6037.

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This paper presents an approach to use Computational Fluid Dynamics (CFD) analysis for the development of a health monitoring system based on Symbolic Dynamic Filtering (SDF) for rotating machinery. A simplified model of a turbomachinery (single rotor) is analyzed using commercial CFD software with and without blade damages. Virtual pressure sensors are placed on the case of the turbomachinery directly above the rotating blades to measure the dynamic pressure pulse generated by the rotating blades. The pressure pulse profiles from the rotating rotor blades with and without blade damages are processed using SDF to determine the presence and magnitude of the fault. Various degrees of damage and effect of measurement noise are examined.
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Li, Zhuang, Lei Jin, Ning Zhang, and Yang Zhou. "Shaft Crack Detection Using Statistical Analysis." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12487.

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Cracks and voids are common defects in rotating systems and are a precursor to fatigue-induced failure. The application of statistical analysis, as a tool for damage identification and health monitoring in rotating machinery, is investigated. Experimental vibration data were collected for a set of health and cracked shafts. Formal statistical models have been proposed to describe the relationship between the vibration signals and the existence of damage. Damage detection and diagnosis are implemented based on statistical estimation and hypothesis testing. Such a statistical model provides a screening technique to detect other damage types. As a result, the proposed methods can improve the power of damage detection.
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Moroz, Leonid, Leonid Romanenko, Roman Kochurov, and Evgen Kashtanov. "Prediction of Structural Supports Influence on Rotating Machinery Dynamics." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-63035.

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Rotor lifetime and safety primarily depend on the level of rotor vibration. In order to avoid unwanted consequences for the plant due to rotor damage and to meet the highest requirements of design reliability, accurate rotor dynamic predictions are mandatory. Having the correct rotor model is a critical issue in dynamics prediction. Often research activities are focused only on the rotor-bearing system analysis. However, generally, the whole system, which includes the rotor, bearings, casing and structural supports should be considered. Special attention should be paid to the influence of structural supports which reveals when the rotor is supported by ball bearings because of low damping and high bearing stiffness. The approach presented in this paper allows us to simulate the influence of structural supports on rotor dynamics response and as a result, the full picture of rotor-bearing-support system resonances can be analyzed to avoid potential problems. The methodology is based on support vibrations modal reduction technics. According to the approach, the natural frequencies and their mode shapes should be calculated for the separate support structure applying a three-dimensional finite element model and the relative displacements at bearing location points are measured. Supports’ normalized modal characteristics (modal mass and modal stiffness) for each vibration mode should then be imported in a rotor dynamics algorithm for rotor unbalance response analysis. The approach allows for simulation of different types of support structures such as bearing pedestals, steel foundations, tabletop-type foundation, frame and pipe supports of arbitrary geometry, and so on. Validation based on the Jeffcott rotor model is presented. The current methodology has been applied to a single-stage compressor’s rotor-bearing-support system which was manufactured and commissioned. The results of the simulations are discussed.
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Zhao, J., H. A. DeSmidt, and W. Yao. "Nonlinear Dynamics of Breathing Cracked Jeffcott Rotor Under Axial Excitation." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-6119.

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The rotor may operate at various working conditions in practice and the crack breathing behavior at different rotating speeds is essential for damage detection and health monitoring of rotor system. In this paper, the coupling of lateral and longitudinal vibration is investigated by building a Jeffcott rotor model with imbalance. By using D’Alambert Principle, four degree-of-freedom equation of motion is derived in fixed coordinate system and the crack model is built based on the fracture mechanics. Zero SIF method is used to determine the crack open area by computing the SIF of opening mode for every point in crack area. The stiffness matrix is updated every time step by integrating compliant coefficients over instantly calculated crack open area. In addition, the breathing behavior of the crack under axial excitation is studied in terms of several eccentricity phases and rotation speeds, which provide effective guidance for damage detection in such scenarios. The paper also explores the coupling effect of external axial loading on the vibration response and its effectiveness for damage detection.
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Chen, Xudong, Shengli Xu, Xiaofang Wang, Wenying Ju, Shuhua Yang, and Jigang Meng. "Research on Failure of Semi-Open Centrifugal Impeller Under Aerodynamic Load." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64564.

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The designs of centrifugal compressors are pushed towards higher pressure ratios, higher mass flow rates, and wider operating conditions. As the change of the actual condition, compressors often operate at low flow rates. There are some important unstable flow conditions at low flow rates such as rotating stall. The exciting forces may cause blade resonance and high dynamic stress level. High cycle fatigue failure is one of the main damage form of compressor impellers. Therefore, the dynamic stress prediction of impeller is an important part of compressor design and failure analysis. This paper is concerned with the prediction of dynamic stress of an actual damaged semi-open centrifugal impellers under unsteady aerodynamic load using a full nonlinear damping model which includes material and aerodynamic damping. Material damping is predicted based on an empirical equation and expressed as a function of stress amplitude. Aerodynamic damping is predicted through unidirectional fluid-structure interaction analysis. In this paper, the aerodynamic damping of the semi-open centrifugal impeller with various vibration amplitudes, modes and operation conditions is estimated. The numerical result indicates that, the material damping increases with the increasing stress amplitude while the aerodynamic damping is independent of the blade vibratory amplitude for a given blade mode. A nonlinear total damping model is then proposed, including both material and aerodynamic damping. The contribution of material damping plays an important part in total damping estimation as well as the aerodynamic damping. With this model, a procedure for dynamic stress estimation is proposed. Aerodynamic load on the surface of the impeller obtained by transient CFD calculation and the load in frequency domain obtained by Fast Fourier Transformation (FFT). Comparing normal condition with low flow condition, the main frequencies of the aerodynamic load are basically coincident and the load amplitude increases significantly under low flow rate. The main frequencies at the leading edge of blades are 4 times, 5 times and 6 times rotation frequency. They may be caused by rotating stall and excite the impeller. As the load of 5 times rotation frequency is maximum, harmonic analysis is performed to estimate the dynamic stress of the semi-open centrifugal compressor blades under the load. The result shows that the resonance stress at the leading edge of the blade under low flow condition is 22 times up on the stress under normal condition. The result of fatigue strength assessment shows that fatigue damage may occur at the leading edge of blades and it is consistent with the actual damaged position of the impeller. Therefore, fatigue damage is likely to happen under low flow rate condition. It is necessary to consider the situation carefully during the design of compressors.
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Kane, Malal, and Guy Ferraris. "Contribution on Rotordynamics Analysis With Gear Coupling: Application to Damage Tracking in Reducers." In ASME 2005 Power Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pwr2005-50025.

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Most of the research on damage tracking has concentrated on the development of heuristic methods, but none of them can estimate the damage state continuously. In this paper, we focus on damage tracking, particularly the detection and quantification of damage of teeth in reducers and the influence of meshing stiffness on detecting damage. A formulation of an analytical and numerical model of a reducer is proposed into which, it is possible to introduce tooth damage in the gears. Vibratory behavior is analyzed using the wavelet transform. Functional relationships between the feature vector and the damage state are provided at the end of the paper. These functions can be used to perform full tooth damage detection and the model set up can be used to track damage as it occurs and predict its future progression in rotating machines.
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