Relevant bibliographies by topics / Jacobian stability analysis

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

Academic literature on the topic 'Jacobian stability analysis'

Author: Grafiati
Published: 11 December 2022
Last updated: 26 January 2023

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Journal articles on the topic "Jacobian stability analysis"

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Xu, Yong-Xian, D. Kohli, and Tzu-Chen Weng. "Direct Differential Kinematics of Hybrid-Chain Manipulators Including Singularity and Stability Analyses." Journal of Mechanical Design 116, no. 2 (1994): 614–21. http://dx.doi.org/10.1115/1.2919422.

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A general formulation for the differential kinematics of hybrid-chain manipulators is developed based on transformation matrices. This formulation leads to velocity and acceleration analyses, as well as to the formation of Jacobians for singularity and unstable configuration analyses. A manipulator consisting of n nonsymmetrical subchains with an arbitrary arrangement of actuators in the subchain is called a hybrid-chain manipulator in this paper. The Jacobian of the manipulator (called here the system Jacobian) is a product of two matrices, namely the Jacobian of a leg and a matrix M containi
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Amiri, Abdolreza, Alicia Cordero, Mohammad Taghi Darvishi, and Juan R. Torregrosa. "Stability Analysis of Jacobian-Free Newton’s Iterative Method." Algorithms 12, no. 11 (2019): 236. http://dx.doi.org/10.3390/a12110236.

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It is well known that scalar iterative methods with derivatives are highly more stable than their derivative-free partners, understanding the term stability as a measure of the wideness of the set of converging initial estimations. In multivariate case, multidimensional dynamical analysis allows us to afford this task and it is made on different Jacobian-free variants of Newton’s method, whose estimations of the Jacobian matrix have increasing order. The respective basins of attraction and the number of fixed and critical points give us valuable information in this sense.
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Kelly, Rafael, and Angel Coello. "Analysis and Experimentation of Transpose Jacobian-based Cartesian Regulators." Robotica 17, no. 3 (1999): 303–12. http://dx.doi.org/10.1017/s0263574799001198.

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Transpose Jacobian-based controllers represent an attractive approach to robot control in Cartesian space. These controllers attempt to drive the robot end-effector posture to a specified desired position and orientation without solving either the inverse kinematics nor computing the robot inverse Jacobian. A wide class of transpose Jacobian-based regulators obtained from the energy shaping plus damping injection technique is analyzed in this paper. Our main theoretical contribution is the introduction of a novel analysis which does not invoke any assumption on Jacobian singularities to ensure
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Sauerbrei, Sonja, Anke Sensse, and Markus Eiswirth. "Application of Quotient Rings for Stability Analysis in Chemical Systems." Zeitschrift für Naturforschung A 66, no. 3-4 (2011): 231–41. http://dx.doi.org/10.1515/zna-2011-3-414.

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Concepts from algebraic geometry (polynomial rings) can be used to determine analytically the stationary solutions in chemical reactions systems, more generally, systems of ordinary differential equations of polynomial form. The stability analysis via the Jacobian matrix often leads to complicated expressions which can hardly be analyzed. It is shown that these expressions can be simplified by forming quotient rings of the corresponding polynomial ring. The coefficients in the characteristic equation of the Jacobian can be represented by the normal forms obtained by generating the quotient rin
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Ohagwu, C. J., W. I. Okonkwo, C. O. Akubuo, G. C. E. Mbah, and H. O. Njoku. "STABILITY ANALYSIS OF EQUILIBRIUM FOR TROMBE WALL SOLAR CHICK BROODER." INMATEH Agricultural Engineering 59, no. 3 (2019): 293–303. http://dx.doi.org/10.35633/inmateh-59-32.

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Trombe wall solar chick brooder was developed for 150-200 birds’ capacity. System evaluation as well as stability and equilibrium analysis were carried out. A set of linear differential equations were formulated that described the dynamic modeling of Trombe wall solar chick brooder for optimal poultry production. The descriptive models were referred to as system control. The model was transformed into Jacobian matrix and solved for stability and equilibrium. Further tests for stability using Routh-Hurwitz criterion were conducted. The solved Jacobian matrix had negative eigenvalues and as such
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Phan, Binh Thi Thanh, Thao Thi Thu Huynh, and Au Ngoc Nguyen. "Static analysis of voltage stability with DFIG." Science and Technology Development Journal 19, no. 3 (2016): 5–12. http://dx.doi.org/10.32508/stdj.v19i3.563.

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The static voltage stability analysis is carried out by V-Q sensitivity or Q-V modal analysis. These analyses are based on the Jacobian matrix of power flow calculation. This is regarded as load bus stability analysis. With DFIG of PQ mode, the wind generation bus is considered as the PQ bus. Due to the limits of converters, these PQ buses became very special and this influences on the voltage stability examining. This paper also examines the penetration level and the location of wind generation injection based on voltage stability. The reliability of the algorithm is illustrated in a study of
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Waldner, Franz, and Rainer Klages. "Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited." Chaos, Solitons & Fractals 45, no. 3 (2012): 325–40. http://dx.doi.org/10.1016/j.chaos.2011.12.014.

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Lu, Yan Jun, Yong Fang Zhang, Ying Wu Fang, and Heng Liu. "A Method to Determine the Periodic Solution Based on Observed State Information and Nonlinear Analysis of Hydrodynamic Bearing-Rotor System." Key Engineering Materials 353-358 (September 2007): 2475–78. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.2475.

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In this paper, a numerical method is presented to determine the periodic response of hydrodynamic bearing-rotor system. The observed state information of the system is used to solve inversely the Jacobian matrix, and to trace the periodic response with the change of the control parameter. Jacobian matrix obtained is used to calculate the Floquet multiplier, so the stability of the periodic response can be determined by Floquet theory. The proposed method is applied to a rotor system with the elliptical bearing supports to solve the periodic response and determine its nonlinear stability. Valid
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Wang, Yu, Jinsheng Cai, and Kun Qu. "Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows." Advances in Applied Mathematics and Mechanics 8, no. 6 (2016): 953–70. http://dx.doi.org/10.4208/aamm.2015.m1043.

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AbstractVon Neumann stability theory is applied to analyze the stability of a fully coupled implicit (FCI) scheme based on the lower-upper symmetric Gauss-Seidel (LU-SGS) method for inviscid chemical non-equilibrium flows. The FCI scheme shows excellent stability except the case of the flows involving strong recombination reactions, and can weaken or even eliminate the instability resulting from the stiffness problem, which occurs in the subsonic high-temperature region of the hypersonic flow field. In addition, when the full Jacobian of chemical source term is diagonalized, the stability of t
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Li, Shenghu. "Configuration of Jacobian Matrix in Steady-State Voltage Stability Analysis Based on Rotor Flux Dynamics of Rotating Machines." International Journal of Emerging Electric Power Systems 14, no. 3 (2013): 239–44. http://dx.doi.org/10.1515/ijeeps-2012-0013.

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Abstract In the existing literatures, modal analysis for steady-state voltage stability is based on the reduced Jacobian matrix, i.e. active power equations are eliminated, and reactive power equations of the constant power/voltage buses (PV buses) are ignored in the polar coordinate expression, which is actually designed for voltage controllability, but questionable for voltage stability.In this article, power outputs of the rotating machines are newly decomposed to the steady-state and dynamic components, with the latter proportional to derivative of the rotor flux. Therefore, neither the ac
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Dissertations / Theses on the topic "Jacobian stability analysis"

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Do, A. L., S. Boccaletti, J. Epperlein, S. Siegmund, and T. Gross. "Topological stability criteria for networking dynamical systems with Hermitian Jacobian." Cambridge University Press, 2016. https://tud.qucosa.de/id/qucosa%3A70758.

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The central theme of complex systems research is to understand the emergent macroscopic properties of a system from the interplay of its microscopic constituents. The emergence of macroscopic properties is often intimately related to the structure of the microscopic interactions. Here, we present an analytical approach for deriving necessary conditions that an interaction network has to obey in order to support a given type of macroscopic behaviour. The approach is based on a graphical notation, which allows rewriting Jacobi’s signature criterion in an interpretable form and which can be appli
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Kekulthotuwage, Don Shamika Prasadini. "Novel mathematical models and simulation tools for stochastic ecosystems." Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/229974/1/Shamika%20Prasadini_Kekulthotuwage%20Don_Thesis.pdf.

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Interacting species systems have complex dynamics that are often subject to change due to internal and external factors. Quantitative modelling approaches to capture demographic fluctuations can be insufficient in the presence of stochastic variation and uncertainty. This thesis establishes new modelling techniques to account for such demographic variations and develops novel numerical simulation tools for solving these systems. These explorations are extended for solving invasive species management problems where robust management actions and efficient use of allocated budgets are necessary.
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Kang, Yuezhuang. "Computer-aided fixture design verification." Link to electronic thesis, 2002. http://www.wpi.edu/Pubs/ETD/Available/etd-0108102-163543.

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Thesis (M.S.)--Worcester Polytechnic Institute.<br>Keywords: Fixture stiffness matrix; Jacobian matrix; kinetic model; geometric model; fixture design verification; stability analysis; tolerance analysis; tolerance assignment. Includes bibliographical references (p. 92-97).
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Therme, Nicolas. "Schémas numériques pour la simulation de l'explosion." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4775/document.

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Dans les installations nucléaires, les explosions, qu’elles soient d’origine interne ou externe, peuvent entrainer la rupture du confinement et le rejet de matières radioactives dans l’environnement. Il est donc fondamental, dans un cadre de sûreté de modéliser ce phénomène. L’objectif de cette thèse est de contribuer à l’élaboration de schémas numériques performants pour résoudre ces modèles complexes. Les travaux présentés s’articule autour de deux axes majeurs : le développement de schémas volumes finis consistants pour les équations d’Euler compressible qui modélise les
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Tsai, Shao-Hong, and 蔡少宏. "Application of the Real Variant of the Jacobi-Davidson Method to the Small-Signal Stability Analysis of Large Power Systems." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/mxw23v.

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博士<br>國立臺北科技大學<br>機電科技研究所<br>98<br>This dissertation is aimed at exploring issues relating to the analysis of the small-signal stability of large power systems. An improved numerical method incorporated with a comprehensive selection strategy for the calculation of critical eigenvalues of the system state matrix has been proposed. The real variant of the Jacobi-Davidson QR (RJDQR) method is a novel and efficient subspace iteration method to find a selected subset of eigenvalues of a real unsymmetric matrix and is favorable to eigenanalysis for the power system small-signal stability. Compared
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Book chapters on the topic "Jacobian stability analysis"

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"Global stability, injectivity, and the Jacobian conjecture." In World Congress of Nonlinear Analysts '92. De Gruyter, 1996. http://dx.doi.org/10.1515/9783110883237.1059.

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Beris, Antony N., and Brian J. Edwards. "Introduction." In Thermodynamics of Flowing Systems: with Internal Microstructure. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195076943.003.0005.

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The investigation of dynamical phenomena in gases, liquids, and solids has attracted the interest of physicists, chemists, and engineers from the very beginning of the modern science. The early work on transport phenomena focussed on the description of ideal flow behavior as a natural extension to the dynamical behavior of a collection of discrete particles, which dominated so much of the classical mechanics of the last century. As far back as 1809, the mathematical techniques which later came to be known as Hamiltonian mechanics began to emerge, as well as an appreciation of the inherent symmetry and structure of the mathematical forms embodied by the Poisson bracket. It was in this year that S. D. Poisson introduced this celebrated bracket [Poisson, 1809, p. 281], and in succeeding years that such famous scholars as Hamilton, Jacobi, and Poincaré laid the foundation for classical mechanics upon the earlier bedrock of Euler, Lagrange, and d'Alembert. This surge of interest in Hamiltonian mechanics continues well into the waning years of the twentieth century, where scholars are just beginning to realize the wealth of information to be gained through the use of such powerful analytic tools as the Hamiltonian/Poisson formalism and the development of symplectic methods on differential manifolds. Specifically, the study of the dynamics of ideal continua, which is analogous to the discrete particle dynamics studied by Hamilton, Jacobi, and Poisson, has recently benefited significantly by the adaptation of the equations of motion into Hamiltonian form. The inherent structure and symmetry of this form of the equations is particularly well suited for many mathematical analyses which are extremely difficult when conducted in terms of the standard forms of the dynamical equations, for instance, stability and perturbation analyses of ideal fluid flows. Thus, classical mechanics and its outgrowth, continuum mechanics, seem to be on the verge of some major developments. Yet, further progress in this area was hindered by the fact that the traditional form of the Hamiltonian structure can only describe conservative systems, thus placing a severe constraint on the applicability of these mathematically elegant and computationally powerful techniques to real systems.
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Schafer, Stephen Brock. "Fostering Psychological Coherence." In Handbook of Research on ICTs for Human-Centered Healthcare and Social Care Services. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-3986-7.ch002.

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As we experience a paradigm shift into a media age, ICTs are altering the psychological parameters of human reality. The premise of this chapter is that the psychological dynamics of interactive images projected as Media Dreams correspond with the psychological dynamics of dream images as defined by Carl G. Jung. (Jacobi, 1973). If this is true, images in media dreams mirror patterns of energy and information in what Jung called the collective unconscious. Jung calls images archetypal representations or projections of archetypal energy patterns that are structured as metaphorical narrative. The most recent cognitive research (Lakoff, 2008) verifies that—indeed—the cognitive unconscious has the framework of metaphorical narrative and that these story patterns correlate with energy patterns in the nervous system. Jung also knew that dreams “have a purpose,” and that the purpose is “compensation” or harmonization of conscious and unconscious psyche. Jungian compensation is essentially the same thing as coherence, and recent research on coherence confirms that coherent states can be evoked with specific feedback technologies. Moreover, coherent psychological states increase emotional and perceptual stability as well as alignment among the physical, cognitive, and emotional systems. The authors’ hypothesis is that the images projected by Information and Communication Technologies (ICTs)—the media dreams of a population—are subject to psychological analysis in order to disclose unconscious sources of psychological stress in contextual collectives.
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Conference papers on the topic "Jacobian stability analysis"

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Xu, Yong-Xian, Dilip Kohli, and Tzu-Chen Weng. "Direct Differential Kinematics of Hybrid-Chain Manipulators Including Singularity and Stability Analyses." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0199.

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Abstract A general formulation for the differential kinematics of hybrid-chain manipulators is developed based on transformation matrices. This formulations leads to velocity and acceleration analyses, as well as to the formation of Jacobians for singularity and unstable configuration analyses. A manipulator consisting of n nonsymmetrical subchains with an arbitrary arrangement of actuators in the subchain is called a hybrid-chain manipulator in this paper. The Jacobian of the manipulator (called here the system Jacobian) is a product of two matrices, namely the Jacobian of a leg and a matrix
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Wang, Hanlei, and Yongchun Xie. "Stability analysis of adaptive Jacobian controller for free-floating space manipulators." In 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC). IEEE, 2009. http://dx.doi.org/10.1109/cdc.2009.5399602.

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Wang, Yunhao, Qin Kun, Jin Wang, Hong Gao, and Xing Li. "Stability analysis of visual servo system based on image Jacobian matrix." In International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), edited by Ke Chen, Nan Lin, Romeo Meštrović, Teresa A. Oliveira, Fengjie Cen, and Hong-Ming Yin. SPIE, 2022. http://dx.doi.org/10.1117/12.2627574.

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Lin, W., J. Yi, Z. Sun, F. Yu, and X. Ren. "Small disturbance stability analysis of UHVDC hierarchical connection mode system based on jacobian transfer function matrix." In The 16th IET International Conference on AC and DC Power Transmission (ACDC 2020). Institution of Engineering and Technology, 2021. http://dx.doi.org/10.1049/icp.2020.0060.

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Agúndez, A. G., D. García-Vallejo, E. Freire, and A. M. Mikkola. "Linear Stability Analysis of a Waveboard Multibody Model With a Minimal Set of Equations." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-67164.

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Abstract In this paper, the stability of a waveboard, the skateboard consisting in two articulated platforms, coupled by a torsion bar and supported of two caster wheels, is analysed. The waveboard presents an interesting propelling mechanism, since the rider can achieve a forward motion by means of an oscillatory lateral motion of the platforms. The system is described using a multibody model with holonomic and nonholonomic constraints. To perform the stability analysis, the nonlinear equations of motion are linearized with respect to the forward upright motion with constant speed. The linear
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Yang, Fan, Xilun Ding, and Gregory S. Chirikjian. "Kinematic Analysis of Hexapod Manipulation." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59619.

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This paper provides a method for modeling the center of mass (COM) of hexapod manipulation systems, which is based on the Statically Equivalent Serial Chain (SESC) model. First, the product of exponentials (POE) formula is used to construct the SESC model for the simple tree-like chain. Then, in order to apply this method to real scenarios, the situation when the robot stands on uneven terrain is studied. In addition, the static grasp constraints for the manipulation and the Jacobian matrix for the COM of the system are analyzed. Moreover, we present a modified tumble stability margin, which c
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Ren, Ping, and Dennis Hong. "Instantaneous Kinematics and Singularity Analysis of a Novel Three-Legged Mobile Robot With Active S-R-R-R Legs." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49552.

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STriDER (Self-excited Tripedal Dynamic Experimental Robot) is a unique three-legged walking robot that utilizes its innovative tripedal gait to walk. Previous work on the kinematic analysis of STriDER mainly focused on solving the forward and inverse displacement problems. As a continuation, this paper addresses the instantaneous kinematics and singularity analysis. The kinematic configuration of STriDER is modeled as a three-legged in-parallel manipulator when all three feet of the robot are in contact with the ground without slipping. The results obtained from this study can be implemented t
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Gayaka, Shreekant, Bin Yao, and Peter H. Meckl. "A Multivariable Approach to EGR-VGT Actuator Control Problem." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14311.

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The combined use of Variable Geometry Turbine (VGT) and Exhaust Gas Recirculation (EGR) gives us an opportunity to reduce emissions, without compromising the need to generate more power. In the present work, a multivariable approach is used to tackle the EGR-VGT actuator control problem. A linear multivariable controller is designed using Lyapunov's Indirect Method, based on the Jacobian matrix of the system. Then, some stronger conditions are sought to be satisfied by the Jacobian matrix, which would ensure the Global Asymptotic Stability of the system. These conditions are derived using Nonl
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Xie, Lihan, Sébastien Baguet, Benoit Prabel, and Régis Dufour. "Parametric Analysis of the Nonlinear Behavior of Rotating Structures." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46816.

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In nonlinear rotordynamics, techniques can take advantage of the periodic steady state behavior to predict quickly and accurately the mass unbalance response to a series of parameters, especially with the presence of certain nonlinearities which leads to nonlinear dynamics and complicated responses. The method proposed here calculates the response curve by combining Harmonic Balance Method, Alternating Frequency-Time method and continuation. The singular points where a stability change often arises are detected with the sign change of the Jacobian determinant and then located through a penalty
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Bonello, Philip, and Hai Pham. "Nonlinear Dynamic Analysis of a Turbocharger on Foil-Air Bearings With Focus on Stability and Self-Excited Vibration." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25176.

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This paper presents a generic technique for the transient nonlinear dynamic analysis (TNDA) and the static equilibrium stability analysis (SESA) of a turbomachine running on foil air bearings (FABs). This technique is novel in two aspects: (i) the turbomachine structural model is generic, based on uncoupled modes (rotor is flexible, non-symmetric and includes gyroscopic effects; dynamics of support structure can be accommodated); (ii) the finite-difference (FD) state equations of the air films are preserved and solved simultaneously with the state equations of the foil structures and the state
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