Safety analysis of linear system with SOS for complex eigenvalues
2011 2nd International Conference on Instrumentation Control and Automation, 2011In this paper we investigate safety verification of linear system. The structure of linear system will be exploited and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is emploited to check emptiness of of the set defines by polynomial inequalities which can be computed by semidifinite ...
Noorma Yulia Megawati +3 more
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Analysis of Energy Eigenvalue in Complex Ginzburg–Landau Equation*
Communications in Theoretical Physics, 2017Abstract In this paper, we consider the two-dimensional complex Ginzburg–Landau equation (CGLE) as the spatiotemporal model, and an expression of energy eigenvalue is derived by using the phase-amplitude representation and the basic ideas from quantum mechanics.
Ji-Hua 华 Gao 高继 +4 more
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Complex Eigenvalue Analysis of Railway Curve Squeal
2008A finite element complex eigenvalue analysis of curve squeal is carried out. Two models for the wheel tread/rail top contact and the wheel flange root/rail gauge corner contact are established. In the both models, the contact between the wheel and rail is simulated with a spring.
G. X. Chen +3 more
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Perturbation Methods for Bifurcation Analysis from Multiple Nonresonant Complex Eigenvalues
Nonlinear Dynamics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LUONGO, Angelo, Paolone A.
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Implications of complex eigenvalues in homogeneous flow: A three-dimensional kinematic analysis
Journal of Structural Geology, 2010Abstract We present an investigation of the kinematic properties of 3D homogeneous flow defined by complex eigenvalues. We demonstrate, using simple algebraic analysis, that the clear threshold between pulsating and non-pulsating fields, fixed for Wn > 1 and valid for planar flow, is not easily defined in a 3D flow system.
Iacopini D., Carosi R., Xypolias P.
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Real modal analysis with complex conjugate eigenvalues
International Journal of Systems Science, 1988Abstract The synthesis of a real eigenvector matrix for real systems with complex conjugate eigenvalues provides a real (cc-block) diagonal canonical form for real modal analysis.
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Brake Squeal: Complex Eigenvalue versus Dynamic Transient Analysis
SAE Technical Paper Series, 2007<div class="htmlview paragraph">Brake squeal from either disc brakes or drum brakes has been one of the major concerns in the automotive industry due to the persistent complaint that reduces customers' satisfaction with their vehicle. In order to understand, predict and prevent brake squeal, experimental and numerical approaches have been used ...
A. R. AbuBakar +3 more
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Convergence Analysis of the Parareal-Euler Algorithm for Systems of ODEs with Complex Eigenvalues
Journal of Scientific Computing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complex Eigenvalue Analysis and Brake Squeal: Traps, Shortcomings and their Removal
SAE International Journal of Passenger Cars - Mechanical Systems, 2012<div class="section abstract"><div class="htmlview paragraph">Among many NVH problems brake squeal continues to be a difficult topic for design engineers and scientists. Both the experimental and the simulation approaches so far have failed to provide robust and reliable guidelines for the design of squeal free brakes.
Gottfried Spelsberg-Korspeter +1 more
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Complex eigenvalues in stability analysis of nonlinear planar guided waves
Optics Communications, 1992Abstract The stability characteristics of the anti-symmetric TE 1 stationary wave in symmetric nonlinear planar waveguides (SNPW) is investigated both analytically and numerically. It is shown, for the first time, that eigenvalues of the corresponding linear stability analysis can be complex in a certain range of parameters.
H.T. Tran +3 more
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