[PDF] Top 20 A New Model Updating Method for Quadratic Eigenvalue Problems II

... algorithm for the finite element model updating of quadratic eigenvalue problems ...This model updating of QEPs is proposed to incorporate the measured model ... See full document

... element model updating of quadratic eigenvalue problems (QEPs) is proposed by Friswell, Inman and Pilkey 1998, to incorporate the measured model data into the finite element ... See full document

... M a , D a and K a ∈ R n×n are all symmetric with M a being symmetric positive definite (M a > 0) that represent the mass, damping and stiffness, respectively, w is the n × 1 vector of ... See full document

... an eigenvalue shifting technique to modify the original gyroscopic system to a new gyroscopic system, which changes the eigenvalues on the imaginary axis to eigenvalues with nonzero real parts, while ... See full document

... of a few eigenpairs with smallest eigenvalues in absolute value of quadratic eigenvalue ...develop a semiorthogonal generalized Arnoldi method where the name comes from the application ... See full document

... the quadratic eigenvalue ...original quadratic eigenvalue problem. Furthermore, we propose a refinement scheme to improve the accuracy of the Ritz vectors for the ... See full document

... element model updating, eigenstructure assignment and eigen- value embedding techniques for vibrating systems, mechanical systems and signal ...assignment for the quadratic ... See full document

... TECHNIQUE FOR SOLVING QUADRATIC EIGENVALUE PROBLEMS MOODY ...algorithms for solving large-scale quadratic eigen- value problems for which a set of ... See full document

... Newton-type method and nonlinear eigen- ...the new Newton-type method, NJD, and NAr in computing the six smallest positive real part eigenvalues μ 1 , ... See full document

... T-palindromic quadratic eigenvalue problems (TPQEP) arising from modeling leaky surface waves propagation in a acoustic resonator with in- finitely many periodically arranged interdigital ... See full document

... The eigenvalue embedding problem addressed in this paper is the one of reassigning a few troublesome eigenvalues of a symmetric finite-element model to some suitable chosen ones, in such ... See full document

... point method in Algorithm 3.2 and Newton’s method in Al- gorithm ...Newton’s method is a locally quadratic convergent method and the fixed point method is a global ... See full document

... examining A, but it is its remaining 2k eigenvalues, usually nonzero and finite but with an extreme wide range in magnitude, that are of ...propose a fast algorithm along the line of the solvent ...and ... See full document

... with a representation that is simple enough for mathematical manipulation yet powerful enough for describing, inducing, and reasoning complicated ...of a physical system, precise mathematical ... See full document

... consider a quadratic eigenvalue problem (QEP) Q(λ)x ≡ (λ 2 B + λC + A)x = 0, (1) where A, B, C ∈ C n×n , λ ∈ C, x 6= 0 ∈ C n ...from a variety of applications have extra ... See full document

... have a ‘symplectic’ property, that is, they are symmetrically placed with respect to the unit circle, containing both an eigenvalue λ and its reciprocal ...desired. A standard approach of finding all ... See full document

... RRes for frequency ω = 50 and ω = 2000, ...terminated for Ω = 50, 6, 1 and 1 implicitly restarted steps have been used ...respectively. For Ω = 2000, one restart each has been made for all the ... See full document

... allows errors in the computation, and can work on an appropriate initial subspace. • With shift-invert enhancement, residual Arnoldi[r] ... See full document

... Adomian’s method solves nonlinear differential equations with ...The method has been widely applied to various domains in science and engineering, but is less popular in ...decomposition method 共ADM兲 ... See full document

... Unimodular eigenvalue a b s t r a c t We propose a structure-preserving doubling algorithm for a quadratic eigenvalue problem arising from the stability analysis of ... See full document