Relevant bibliographies by topics / Campbell diagram

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers
  5. Reports

Academic literature on the topic 'Campbell diagram'

Author: Grafiati
Published: 4 June 2021
Last updated: 19 June 2025

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Journal articles on the topic "Campbell diagram"

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Jei, Yang-Gyu, and Chong-Won Lee. "Does Curve Veering Occur in the Eigenvalue Problem of Rotors?" Journal of Vibration and Acoustics 114, no. 1 (1992): 32–36. http://dx.doi.org/10.1115/1.2930229.

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Recently, Crandall and Yeh (1989) reported an interesting phenomenon in the Campbell diagram of a single spool machine. In their words, “It is interesting that . . . the two modes form a coupled system and the curves repel each other avoiding an intersection” in the Campbell diagram, which is the so-called curve veering in the eigenvalue problem. In this paper, the existence of the curve veering in the eigenvalue problem of general rotor-bearing systems are verified and the criteria of the curve veering is evaluated. The abrupt but continuous changes of mode shapes during veering are also illustrated.
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Kirillov, O. N. "Campbell diagrams of weakly anisotropic flexible rotors." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2109 (2009): 2703–23. http://dx.doi.org/10.1098/rspa.2009.0055.

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We consider an axi-symmetric flexible rotor perturbed by dissipative, conservative and non-conservative positional forces originated at the contact with the anisotropic stator. The Campbell diagram of the unperturbed system is a mesh-like structure in the frequency–speed plane with double eigenfrequencies at the nodes. The diagram is convenient for the analysis of the travelling waves in the rotating elastic continuum. Computing sensitivities of the doublets, we find that at every particular node the unfolding of the mesh into the branches of complex eigenvalues in the first approximation is generically determined by only four 2×2 sub-blocks of the perturbing matrix. Selection of the unstable modes that cause self-excited vibrations in the subcritical speed range is governed by the exceptional points at the corners of the singular eigenvalue surfaces—‘double coffee filter’ and ‘viaduct’—which are sharply associated with the crossings of the unperturbed Campbell diagram with the definite symplectic (Krein) signature. The singularities connect the problems of wave propagation in the rotating continua with that of electromagnetic and acoustic wave propagation in non-rotating anisotropic chiral media. As mechanical examples a model of a rotating shaft with two degrees of freedom and a continuous model of a rotating circular string passing through the eyelet are studied in detail.
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ANEGAWA, Norihisa, Hiroyuki FUJIWARA, and Osami MATSUSHITA. "833 Applications of Campbell Diagram to Rotor Vibration Diagnosis." Proceedings of the Dynamics & Design Conference 2012 (2012): _833–1_—_833–9_. http://dx.doi.org/10.1299/jsmedmc.2012._833-1_.

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Zolkiewski, Sławomir. "Diagnostics and Transversal Vibrations Control of Rotating Beam by Means of Campbell Diagrams." Key Engineering Materials 588 (October 2013): 91–100. http://dx.doi.org/10.4028/www.scientific.net/kem.588.91.

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The paper concerns problem of diagnostics and transversal vibrations control of rotating beamlike system. The considered system is consisted of a simple prismatic beam. The beam is homogeneous and is being rotated round its end. The beam is fixed on the rotational disk. The most common method of analyzing rotational systems is the Campbell diagram. It gives the short and precise information about resonance points and critical angular velocities. In literature it is a very popular method, but used for shaft systems or rotors rather than for beams rotating round the axis of revolution perpendicular to its own axis of symmetry. In this work the exemplary Campbell diagrams for considered systems derived from the dynamic flexibility of beams are presented. In the used mathematical model the Coriolis forces and centrifugal forces were taken into consideration. Also the different types of boundary conditions were applied in this work. The results after proper adaptation can be used in practical applications such as pumps, turbines or wind power plants.
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Al Tamimi, Adnan Naji Jameel, and Jassim Farij Thijeel Al Draji. "Numerical Investigation Using Harmonic and Transient Analysis To Rotor Dynamics." Journal of Engineering 22, no. 5 (2016): 108–28. http://dx.doi.org/10.31026/j.eng.2016.05.08.

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The rotor dynamics generally deals with vibration of rotating structures. For designing rotors of a high speeds, basically its important to take into account the rotor dynamics characteristics. The modeling features for rotor and bearings support flexibility are described in this paper, by taking these characteristics of rotor dynamics features into standard Finite Element Approach (FEA) model. Transient and harmonic analysis procedures have been found by ANSYS, the idea has been presented to deal with critical speed calculation. This papers shows how elements BEAM188 and COMBI214 are used to represent the shaft and bearings, the dynamic stiffness and damping coefficients of journal bearings as a matrices have been found with the variation of rotation speed of the rotor which are vary with eccentricity of journal with bearings and this eccentricity is a function of Sommerfeld number, the first critical speed analysis has been done from Campbell diagram, the critical speed it is the speed at which resonance case happen, the unbalance response analysis has been done with changing the unbalance mass then finding the maximum response of the rotor for each unbalance mass case, by Campbell diagram plot recognizing the stability of the system and find the line of un stability, above and down this line the system is stable and if speed lies on this line the system is unstable, the main reason of analysis of rotor dynamics is to help Engineers to characterize the lateral dynamics characteristics of a given design with Campbell diagram plot, can find the critical speed, the unbalance response and the system stability .
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Johnston, Sharn, Sheng Yan, Pawel Sliwinski, and Peter T. Macklem. "Modified Campbell diagram to assess respiratory muscle action in speech." Respirology 4, no. 3 (1999): 213–22. http://dx.doi.org/10.1046/j.1440-1843.1999.00178.x.

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Singh, M. P., and J. J. Vargo. "Reliability Evaluation of Shrouded Blading Using the SAFE Interference Diagram." Journal of Engineering for Gas Turbines and Power 111, no. 4 (1989): 601–9. http://dx.doi.org/10.1115/1.3240296.

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The SAFE Interference Diagram is shown to be useful in the design reliability evaluation of shrouded blading, including long-arc shrouding construction. This method provides an alternate method to the widely used Campbell diagram and also brings in more information for easier design evaluation. The SAFE diagram uses the natural frequencies of an entire bladed disk rather than individual blade or packet frequencies. In addition, it compares frequencies, mode shapes, and speed to evaluate whether a resonance occurs. Theoretical arguments are provided for the validity of the SAFE Diagram and its usefulness is shown by practical examples. This method provides an easier means to show why long-arc shrouding works and also when it might not.
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Sikanen, Eerik, Janne E. Heikkinen, and Jussi Sopanen. "Shrink-fitted joint behavior using three-dimensional solid finite elements in rotor dynamics with inclusion of stress-stiffening effect." Advances in Mechanical Engineering 10, no. 6 (2018): 168781401878005. http://dx.doi.org/10.1177/1687814018780054.

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In this article, the contact behavior of a shrink-fitted joint in a rotor assembly at different spin speeds is studied, using the three-dimensional solid finite element approach. A custom frictionless contact model is proposed and extensively tested by means of simulation. The theory for solving pre-stressed damped eigenvalue problem is presented and implemented, and the results are presented in Campbell diagram form. Two sample rotor assemblies are studied. In addition, experimental modal analysis results of a shrink-fitted joint with various interferences are presented and numerically studied. The reduction of the interference of the shrink-fitted joint due to centrifugal forces at high-speed operation as well as the contact status are updated at each rotational speed step. The inclusion of stress-stiffening effect is studied in detail. The comparison of the Campbell diagram results with the results obtained using a commercial finite element software (Ansys) shows a good agreement.
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Ramasubramaniam, E. S., P. R. Thyla, and N. Mahendrakumar. "Assessment of accuracy of modal parameters of a rotor dynamic system using different types of finite elements." International Journal of Modeling, Simulation, and Scientific Computing 09, no. 01 (2018): 1750062. http://dx.doi.org/10.1142/s1793962317500623.

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The main objective of this work is to check the compatibility of Finite element method (FEM) to determine the modal parameters of the rotor system and to compare the results with analytical method. Current work is an attempt to implement different finite element (FE) models for the estimation of modal parameters. Two different order elements from Beam, Axisymmetric and Solid FE models are considered. The analysis is carried out on the rotor system and the accuracy of the results and the computation time of the FE models are estimated. The FE results are compared with the analytical method. It is observed that FE model can be used to simulate even at higher order frequencies, which is a limitation of analytical model. The analysis shows that the FE results closely match with analytical method and also the study summarizes that proper choosing of FE helps in developing rotor models in both a desirable accuracy and efficiency. Finally, a Campbell diagram is generated using the analytical method and FEM. The critical speeds are also calculated from the Campbell diagram. The closeness of the results between the two methods is checked.
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Ritto, T. G., R. H. Lopez, R. Sampaio, and J. E. Souza de Cursi. "Robust optimization of a flexible rotor-bearing system using the Campbell diagram." Engineering Optimization 43, no. 1 (2011): 77–96. http://dx.doi.org/10.1080/03052151003759125.

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Dissertations / Theses on the topic "Campbell diagram"

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Sedláček, Jan. "Metodika výpočtu kritických otáček elektrických strojů točivých." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2013. http://www.nusl.cz/ntk/nusl-230971.

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This Master thesis describes the design of methodology for calculating the critical speed of rotating electric machines. The aim is to build finite element model of rotor system model, determine the natural frequencies to plot Campbell diagram and use this diagram to obtain the critical speeds. The Matlab software is used for this purpose and the Ansys software is used for verify the calculation.
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Havlásek, Michal. "Porovnání modálních vlastností oběžných kol parní turbíny s různými délkami lopatek." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2015. http://www.nusl.cz/ntk/nusl-231677.

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The presented master's thesis deals with the safety assessment of several variants of the impeller with different blades length. The motivation for creating this thesis is to find the solution of the problem situation which is characterized by the breakdown of the steam turbine impeller with blades length of 30mm. As confirmed in this thesis, the impeller with blades length of 30mm is operated in the resonance. Likewise, according to the technical standard ČSN EN ISO 10437 its operation is not safe. As the correction action for the problem situation solving is proposed the prolongation of the impeller's blades. The safety is detected for six variants of impeller with dierent blades length. For each variant, there is executed a modal analysis and its results are drawn up into the Campbell diagram. On the basis of this diagram, the safety of individual components is evaluated. The last part of the masters thesis concerns with the examination of the influence of blades length on the modal properties of the impeller.
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Krejčí, Jaroslav. "Analýza frekvenčního naladění lopatek oběžného kola parní turbíny." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2015. http://www.nusl.cz/ntk/nusl-231681.

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The master thesis deals with modal analysis of the blade of the steam turbine impeller. This analysis is made to find the frequency response of the blade in order to predict the dangerous speeds of the steam turbine. At first the problem situation is described. Than follows the research study which is focused on steam turbines and especially on the rotor dynamic systems and the way to ascertain the modal parameters of the dynamic system by experiment. After that the solution of the problem is performed by computational modelling. The results of the computation are analyzed in detail for different variations of the blade length by Campbell diagram. A graph showing dependency between dangerous speeds of the turbine and the blade length is made out of the results. Then the results are verified by experiment and the coefficients of proportional damping are specified. In conclusion the optimal variation of the blade length for the given operational state is determined.
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Drahý, Jan. "Modální analýza turbínového kola pro letecký motor." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2010. http://www.nusl.cz/ntk/nusl-229038.

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The master thesis deals with modal analysis of turbine wheel of aircraft engine. The first part is concerned with the modal analysis of the computational model of turbine wheel and separated turbine blade using the cyclic symmetry of the ANSYS software. This part of the thesis set the task of determining the natural frequency depending on the operating parameters of the motor. The second part of the thesis occupies with the experimental simulation of the task. The results of experimental simulation are verified and compared with the results from the computational modal analysis. The goal is to create a Campbell diagram and to determine the intervals of the critical revolution of the turbine wheel.
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Sitte, David. "Odezva atypického vertikálního rotoru vodní turbíny na buzení nevývažkem oběžného kola a nevývažkem rotoru generátoru." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-443737.

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This master’s thesis deals with the dynamic behaviour of vertical Francis turbine, which is atypical its shaft length. In the first part of thesis, there is theoretic research of water turbine, which is followed by derivation of equations for the Stodola rotor. The second part deals with the creation of the turbine shaft in 1D and 3D. A modal analysis was performed in the ANSYS Workbench software, based on which the Campbell diagram is created and it was determined the critical speed. And the harmonic analysis from which was determined the forces response in radial bearings, amplitude of deviation in radial direction in the turbine impeller and the generator and the axial displacement located in turbine impeller and axial bearing. 1D and 3D solutions were compared between themselves.
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Hinkle, Kurt Berlin. "An Automated Method for Optimizing Compressor Blade Tuning." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/6230.

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Because blades in jet engine compressors are subject to dynamic loads based on the engine's speed, it is essential that the blades are properly "tuned" to avoid resonance at those frequencies to ensure safe operation of the engine. The tuning process can be time consuming for designers because there are many parameters controlling the geometry of the blade and, therefore, its resonance frequencies. Humans cannot easily optimize design spaces consisting of multiple variables, but optimization algorithms can effectively optimize a design space with any number of design variables. Automated blade tuning can reduce design time while increasing the fidelity and robustness of the design. Using surrogate modeling techniques and gradient-free optimization algorithms, this thesis presents a method for automating the tuning process of an airfoil. Surrogate models are generated to relate airfoil geometry to the modal frequencies of the airfoil. These surrogates enable rapid exploration of the entire design space. The optimization algorithm uses a novel objective function that accounts for the contribution of every mode's value at a specific operating speed on a Campbell diagram. When the optimization converges on a solution, the new blade parameters are output to the designer for review. This optimization guarantees a feasible solution for tuning of a blade. With 21 geometric parameters controlling the shape of the blade, the geometry for an optimally tuned blade can be determined within 20 minutes.
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Вербовий, А. Є. "Забезпечення вібраційної надійності та числові методи дослідження динаміки роторів відцентрових машин". Master's thesis, Сумський державний університет, 2019. http://essuir.sumdu.edu.ua/handle/123456789/72414.

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Об'єкт дослідження: динаміка ротора багатоступінчастого відцентрового компрессора. Предмет дослідження: вібраційний стан компрессора 225ГЦ2-135/12-50М1245. Мета роботи: покращення вібраційного стану роторної системи шляхом створення достовірної моделі оцінювання динамічного стану і проведення процедури віртуального балансування. Методи дослідження: моделювання динаміки ротора відцентрового компресора з використанням комбінації методу скінченних дво- і тривимірних елементів. Дана робота присвячена методам дослідження скінченноелементної моделі динаміки ротора із використанням скінченних елементів балкового типу з числовою реалізацією із використанням файлів «Critical frequencies of the rotor», комп’ютерної програми MathCAD і програмного комплексу ANSYS.
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Noordhuis-Fairfax, Sarina. "Field | Guide: John Berger and the diagrammatic exploration of place." Phd thesis, Canberra, ACT : The Australian National University, 2018. http://hdl.handle.net/1885/154278.

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Positioned between writing and drawing, the diagram is proposed by John Berger as an alternative strategy for articulating encounters with landscape. A diagrammatic approach offers a schematic vocabulary that can compress time and offer a spatial reading of information. Situated within the contemporary field of direct data visualisation, my practice-led research interprets Berger’s ‘Field’ essay as a guide to producing four field | studies within a suburban park in Canberra. My seasonal investigations demonstrate how applying the conventions of the pictorial list, dot-distribution map, routing diagram and colour-wheel reveals subtle ecological and biographical narratives.
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ARORA, AKSHAY. "VIBRATIONAL ANALYSIS OF ALUMINIUM 6061 MATRIX COMPOSITE." Thesis, 2018. http://dspace.dtu.ac.in:8080/jspui/handle/repository/16386.

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The present study deals with the fabrication of aluminium 6061–alumina 8% vol. composite shaft by optimized stir casting manufacturing process. The properties of the composite being formed is computationally calculated by the Digimat-MF software. Shafts demand variable loading conditions in the applications and thus its vibrational study becomes vital. In this study, analysis of static and dynamic vibrational characteristics and its comparison of the conventional with the shaft have been carried out. Damping property is the basic form, which shows the vibrational characteristics of a component and its ability to overcome the vibrational problem , thus statically, the damping ratio is calculated and at a given excitation frequency, the critical speed of shaft obtained is compared with the experimentally obtained transverse frequency. Finite element modal analysis of shafts is done with the help of Ansys with the prescribed condition of bearing and damped conditions. Campbell diagram is plotted in respect to observe different mode shapes and its comparison is done for both the shafts. Composites are generally used in making drive shafts of the automobiles as better mechanical properties with reduced weight and high specific modulus is obtained. The results showed that the Aluminium 6061 composite rotor is depicts better vibrational characteristics as enhanced natural frequency is achieved along with its damping factor.
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Book chapters on the topic "Campbell diagram"

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Vassilakopoulos, Theodoros. "Understanding wasted/ineffective efforts in mechanically ventilated COPD patients using the Campbell diagram." In Applied Physiology in Intensive Care Medicine. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01769-8_6.

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Vassilakopoulos, Theodoros. "Understanding wasted/ineffective efforts in mechanically ventilated COPD patients using the Campbell diagram." In Applied Physiology in Intensive Care Medicine 1. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28270-6_6.

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Eliseev, Vladimir V., and Artem A. Moskalets. "Computational Technique of Plotting Campbell Diagrams for Turbine Blades." In Advances in Mechanical Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53363-6_5.

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Rathore, Souvik Singh, Vishesh Ranjan Kar, and Sanjay. "Campbell Diagrams of Some Advanced Composite Blades: A Comparative Analysis." In Springer Proceedings in Materials. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-4958-4_27.

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Lingener, A., and G. Schmidt. "Automatic Display of Campbell Diagrams of Start-Up and Run-Dow Processes." In Experimental Stress Analysis. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4416-9_23.

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Takano, K., H. Fujiwara, O. Matushita, H. Okubo, and Y. Kanemitsu. "Application of Vibration Diagnostics and Suppression by Using the Campbell Diagram." In Condition Monitoring and Diagnostic Engineering Management. Elsevier, 2001. http://dx.doi.org/10.1016/b978-008044036-1/50017-2.

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Pham, Ba Hoang Nguyen, and Jason Bang. "Work of Breathing." In Basic Anesthesia Review, edited by Alaa Abd-Elsayed. Oxford University PressNew York, 2024. http://dx.doi.org/10.1093/med/9780197584569.003.0215.

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Abstract Work of breathing is defined as the energy spent to move air in and out of the lung during inspiration and expiration, respectively. It comprises the elastic work and the resistive work; their relationship can be demonstrated through the Campbell diagram. The increase in work of breathing can be seen in various comorbidities such as obesity, congestive heart failure, and lung diseases. It can be minimized by altering factors that affect the elastic and resistive work. The practical importance of understanding and calculating the work of breathing in the operating room and more so in the field of intensive care is to optimize the ventilator settings according to the needs of the patient.
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Mogenier, G., T. Baranger, G. Ferraris, R. Dufour, and L. Durantay. "The problem of complex shape tracking in a Campbell Diagram or how to overcome crossing/veering phenomena." In 10th International Conference on Vibrations in Rotating Machinery. Elsevier, 2012. http://dx.doi.org/10.1533/9780857094537.4.257.

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"10 Campbell diagrams of gyroscopic continua and subcritical friction-induced flutter." In Nonconservative Stability Problems of Modern Physics. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110655407-012.

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"Chapter 10: Campbell diagrams of gyroscopic continua and subcritical friction-induced flutter." In Nonconservative Stability Problems of Modern Physics. De Gruyter, 2013. http://dx.doi.org/10.1515/9783110270433.294.

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Conference papers on the topic "Campbell diagram"

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Lalanne, Michel, and Guy Ferraris. "Use of the Campbell Diagram in Rotordynamics." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8280.

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Abstract This paper deals with bending in the field of monorotors, such as in compressors and turbines, and co-axial multirotors, such as in jet engines. This presentation concerns the use of the Campbell diagram and highlights some specific cases of its use: symmetric systems and highly damped systems.
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Soares de Oliveira, Aguinaldo. "CAMPBELL DIAGRAM CALCULATION DIDATIC SOFTWARE USING FINITE ELEMENTS METHOD." In 25th International Congress of Mechanical Engineering. ABCM, 2019. http://dx.doi.org/10.26678/abcm.cobem2019.cob2019-0401.

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Thiago Gamboa Ritto, David Julian González Maldonado, and Paulo Arthur Lima de Deus. "Robust Campbell diagram of a simple 2DOF rotordynamics system." In 23rd ABCM International Congress of Mechanical Engineering. ABCM Brazilian Society of Mechanical Sciences and Engineering, 2015. http://dx.doi.org/10.20906/cps/cob-2015-1618.

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Rajagopal, Anurag, and Dilip K. Mandal. "An Evaluation of Mode Tracking Methods for Practical Rotor Dynamic Analysis." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23160.

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Abstract An important precursor to the dynamic analysis of rotating machinery, in either frequency or time domain, is the extraction of its mode shapes and corresponding frequencies. This is often presented as a Campbell diagram, which plots the frequency of each mode as a function of the rotor speed. A typical Campbell diagram has several backward whirl, linear and forward whirl modes leading to numerous intersections. Therefore augmenting the eigenvalue solution with a mode tracking algorithm to output the Campbell diagram is of essential interest to a practicing engineer. This paper presents an evaluation of several mode tracking approaches for rotor dynamic simulations, starting from their theoretical foundations to practical applications using several test cases. These tracking algorithms are implemented in the structural solver, OptiStruct, part of Altair Engineering’s CAE framework. Finally, the conclusions drawn from this exercise offer engineers studying rotating machinery several key insights.
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Kurvinen, Emil, Qasim Khadim, Eero Ikäheimo, Tuhin Choudhury, and Rafal Jastrzebski. "Computationally Lightweight Method for Campbell Diagram Plotting in High-Speed Electric Machines." In ASME Turbo Expo 2024: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/gt2024-127941.

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Abstract Campbell diagram is plotted from calculation results to identify a rotating object’s critical speeds. The Campbell diagram is formed by calculating the supported natural frequencies in a defined operation speed range. It is an important step when designing rotating machines, e.g., an integrated high-speed electric motor that can be sensitive to the rotor’s dynamical behavior. Currently, minimizing unnecessary calculation points is important for rapid design iterations and utilization of physics-based models with artificial intelligence. In cases where large variants of rotor geometry or using high-fidelity models, the calculation burden becomes high. In the research, a methodology based on a minimum number of calculation points and a second-order fitting equation is proposed, i.e., instead of using a high number of fixed calculation intervals, a three-point calculation methodology is proposed. The proposed methodology can be applied with neural network-based methods or implemented with high-fidelity models such as solid element models where the physics-based models can be used to create sensitivity to model parameters and study their influence with the traditional rotordynamics Campbell diagram tool. In the results, a comparison of two case studies is shown, and the computational cost is compared.
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Baedorf Kassis, E., H. Su, S. H. Loring, and D. S. Talmor. "Phenotyping Entrainment Patterns During Mechanical Ventilation in ARDS Using the Campbell Diagram." In American Thoracic Society 2019 International Conference, May 17-22, 2019 - Dallas, TX. American Thoracic Society, 2019. http://dx.doi.org/10.1164/ajrccm-conference.2019.199.1_meetingabstracts.a1137.

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Park, In-Gyu, Il-Kyeom Kim, and Min-Gyu Kim. "Vibrational characteristics of developed harmonic reduction gear and fault diagnosis by campbell diagram." In 2015 15th International Conference on Control, Automation and Systems (ICCAS). IEEE, 2015. http://dx.doi.org/10.1109/iccas.2015.7364708.

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Das, Apurba, Subhendu Pal, Su Ziyi, Mrutyunjay Rout, Kazuaki Inaba, and Amit Karmakar. "Natural Frequency and Resonance Study of FGM Turbo-Machinery Blade Using Campbell Diagram." In ASME 2021 Gas Turbine India Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gtindia2021-76440.

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Abstract Turbo machinery rotating blades are a vital component of aero-engines for transferring the energy of gas flow to kinetic energy. Rotating turbo-machinery blades are prone to fail under working fields with high temperature, high speed, high pressure and resonance of blades with prime engine. Vibration of the turbo-machinery blades need to be studied carefully for safe and reliable operation of the engine. Thermal barrier coatings (TBC) layers are used to protect the blade metal at higher operating temperature though these can be plagued due to phase instability, thermal instability and adherence problems. TBCs also tend to spall due to thermal expansion mismatch with the super alloy substrate or because of erosion/impact caused by particles in the high-velocity combustion gases. Functionally graded materials (FGMs) are a relatively new class of materials that can solve these problems in high-temperature environments and can be considered as potential material for making gas turbine blades. Unlike composite materials the functionally graded materials (FGMs) are free from delamination and debonding and have the ability to withstand high temperature without TBC coatings. In this present study natural frequency of the FGM turbine blade for various rotational speeds during actual operation is determined using finite element technique. As the aero-engine is complex in nature therefore harmonic resonance can always occur in the aero-engine system and it is difficult to determine the natural frequency at varying speed during actual operation. The chances of failure of the blade also increase because of harmonic resonance. Hence, the resonance property is required to investigate of the FGM blade in details. Various rotational speed and operating temperature is considered to determine the natural frequencies of the blade. The resonance studies for each case are performed using the Campbell diagram. Resonance margin is calculated for each case and safe operating speed is determined. This study could serve as ready reference for safe operation of turbo-machinery engine considering FGM blade for specific range of engine speed.
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Bab, Saeed, Mohsen Behzadi, Ahmad Ahmadi, Ali Ramesh, Ali Reza Shahrabi, and Jalal Fathi Sola. "Frequency Analysis Performed on Compressor Blades of Two Types of Gas Turbines Using Campbell and SAFE Diagrams." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64108.

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This paper investigates the results of a frequency analysis performed on the blades of the last three compressor stages of two different gas turbines (Case A and B). The axial compressors in A and B have ten and eleven stages, respectively. The studied stages have identical number of blades in both compressors. However turbine B has higher number of upstream vanes before each rotating stage. Turbine B is actually a modified version of A with higher power output. The manufacturer provides acceptable ranges for several natural frequencies of blades of stage No.8 to 10 in case A. One of the purposes of this study is to figure out the logic behind the abovementioned ranges. FEM has been used in order to determine the natural frequencies of a single blade (for Campbell diagram) and bladed disk (for SAFE diagram). By surveying the results of the Campbell diagrams for blades of case A’s mentioned stages, it is concluded that the manufacturer has obtained the acceptable ranges by considering a 10% difference (at least) between single blade natural frequencies and excitation frequencies (upstream vane passage frequencies (VPF)). On the other hand, according to Campbell diagram, there is no resonance for these blades within the operational speed while SAFE diagrams show the existence of one resonance mode within the same range. The reason of this contradiction is found to be ignoring the disk stiffness effect on the blades frequencies. A same procedure was also followed to study the critical frequencies of the blades of the last three stages of turbine B’s compressor by SAFE diagrams. By checking the critical modes, it is concluded that these modes in case B are transferred to one or two modes higher in comparison to A which results in a much better vibrational behavior. This has been acquired by increasing the number of the upstream vanes. In addition, in case A’s compressor, the blades of the stage No.10 have been designed with far thicker airfoils (approximately 50%) when compared to stage No.8 and 9, even though their other dimensions are almost identical. But, this fault has been corrected in turbine B and the airfoils of all three stages almost have the same thickness. To sum up, although the design of mentioned blades in turbine B looks better and more logical than A, still a more precise look at its stages bladed disk SAFE diagrams reveals another issue. In some references there are some hints that low number of critical nodal diameter (veering region) might cause high level of blade vibration due to mistuning and this means that even in turbine B the design might not be optimal. A cure could be an increase or decrease in the number of upstream vanes in order to have a higher critical nodal diameter.
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Yadav, Vaibhav, Satchi Venkataraman, and Scott Bland. "Mode-Tracking in Surrogate-Based Inverse Identification of Rotor Blade Geometry Using Campbell Diagram." In 54th AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-1642.

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Reports on the topic "Campbell diagram"

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Whirl Analysis of an Overhung Disk Shaft System Mounted on Non-rigid Bearings. SAE International, 2022. http://dx.doi.org/10.4271/2022-01-0607.

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Eigenvalues of a simple rotating flexible disk-shaft system are obtained using different methods. The shaft is supported radially by non-rigid bearings, while the disk is situated at one end of the shaft. Eigenvalues from a finite element and a multi-body dynamic tool are compared against an established analytical formulation. The Campbell diagram based on natural frequencies obtained from the tools differ from the analytical values because of oversimplification in the analytical model. Later, detailed whirl analysis is performed using AVL Excite multi-body tool that includes understanding forward and reverse whirls in absolute and relative coordinate systems and their relationships. Responses to periodic force and base excitations at a constant rotational speed of the shaft are obtained and a modified Campbell diagram based on this is developed. Whirl of the center of the disk is plotted as an orbital or phase plot and its rotational direction noted. Finally, based on the above plots, forward and reverse whirl zones for the two excitation types are established.
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Fence diagram showing coal bed correlations within the upper part of the Fort Union Formation, in and adjacent to the eastern part of the Kaycee 30' x 60' Quadrangle, Johnson and Campbell counties, Wyoming. US Geological Survey, 1986. http://dx.doi.org/10.3133/coal107.

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