The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …

Discrepancies between experimentally measured data and computational predictions are
unavoidable for structural dynamic systems. Model updating methods have been developed …

The quadratic inverse eigenvalue problem (QIEP) is to find the three matrices M, C, and K,
given a set of numbers, closed under complex conjugations, such that these numbers …

A method for updating mass and stiffness matrices without spillover is presented, which
requires the knowledge of only the few eigenpairs to be updated of the original undamped …

A model is extremely important to the controller designing and system analysis of an active
vibration control system. However, the influence of actuators is always ignored by …

The paper addresses the problem of finding the optimal location of actuators and their
relative gain so that the control effort in an actively controlled vibrating system is minimized …

The problem of construction the general solution of the generalized matrix Sylvester
equation is considered. Conditions of existence of solution of this equation are obtained and …

Given an undamped gyroscopic system G (λ)= M λ 2+ C λ+ K with M, K symmetric and C
skew-symmetric, this paper presents a real-valued spectral decomposition of G (λ) by a real …

The Schur and doubling methods, which are usually used to solve the algebraic Riccati
equation, are generalized to the case of unilateral quadratic matrix equations. The efficiency …

The main contribution of this paper is a novel approach to the perturbation theory of a
structured Hermitian quadratic eigenvalue problems (λ 2 M+ λ D+ K) x= 0. We propose a …