MODAL UNCOUPLING OF DAMPED GYROSCOPIC SYSTEMS
نویسندگان
چکیده
منابع مشابه
An Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems
The inverse eigenvalue problem of constructing symmetric positive semidefinite matrixD written as D ≥ 0 and real-valued skew-symmetric matrix G i.e., G −G of order n for the quadratic pencilQ λ : λMa λ D G Ka, whereMa > 0,Ka ≥ 0 are given analytical mass and stiffness matrices, so that Q λ has a prescribed subset of eigenvalues and eigenvectors, is considered. Necessary and sufficient condition...
متن کاملAn iterative updating method for damped gyroscopic systems
The problem of updating damped gyroscopic systems using measured modal data can be mathematically formulated as following two problems. Problem I: Given Ma ∈ Rn×n,Λ = diag{λ1, · · · , λp} ∈ Cp×p, X = [x1, · · · , xp] ∈ Cn×p, where p < n and both Λ and X are closed under complex conjugation in the sense that λ2j = λ̄2j−1 ∈ C, x2j = x̄2j−1 ∈ C for j = 1, · · · , l, and λk ∈ R, xk ∈ R for k = 2l+1, ...
متن کاملModal approximations to damped linear systems
We consider a finite dimensional damped second order system and obtain spectral inclusion theorems for the related quadratic eigenvalue problem. The inclusion sets are the ’quasi Cassini ovals’ which may greatly outperform standard Gershgorin circles. As the unperturbed system we take a modally damped part of the system; this includes the known proportionally damped models, but may give much sh...
متن کاملStrongly stable gyroscopic systems
Here, gyroscopic systems are time-invariant systems for which motions can be characterized by properties of a matrix pencil L(λ) = λ2I + λG − C, where GT = −G and C > 0. A strong stability condition is known which depends only on |G| (= (GT G)1/2 ≥ 0) and C. If a system with coefficients G0 and C satisfies this condition then all systems with the same C and with a G satisfying |G| ≥ |G0| are al...
متن کاملStochastic Stability of Linear Gyroscopic Dynamic Systems
in this paper, a theorem is derived for the existence of a common quadratic Lyapunov function for stability analysis of linear gyroscopic dynamic systems. A new method based on stochastic stability. In this paper we study the stochastic stability properties of linear gyroscopic dynamic systems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 2001
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3473