Theoretical or Mathematical/ eigenvalues and eigenfunctions inverse problems matrix algebra vibrations/ optimal construction mass-spring system spectral data modal data overdetermined problem eigenpairs free parameters nonlinear approximation methods global optimal solution extensive computational effort local optimum ...
The paper provides an overview of spectral and modal analysis methods for studying the stability of electric power systems (EPSs) and their control. Consideration is given to theoretical grounds of the methods and to the experience of their application for detecting the heterogeneity of the systems’...
Towards an automatic spectral and modal identification from opera- tional modal analysis[J]. Journal of Sound and Vibra- tion, 2013, 332(1): 213 -227.Vu V.H.; M. Thomas; F. Lafleur and L. Marcouiller (2013). Towards an automatic spectral and modal identification from operational modal...
Here M is called a modal matrix for A and D a spectral matrix for A. Now (4.8)AM=Ax1x2…xn=Ax1Ax2…Axn=λ1x1λ2x2…λnxn=x1x2…xnD=MD Because the columns of M are linearly independent, the column rank of M is n, the rank of M is n, and M− 1 exists. Premultiplying...
The stability of plane Poiseuille flow is studied for both cases of steady and time modulated pressure fields. Linear stability theory along with Spectral-Galerkin method is implemented to describe the picture of long term flow behavior (Modal stability analysis) as well as its short term behavior...
The \(1 \times n\) row vector \({{\varvec{f}}}^0=[f_1^0 \dots f_n^0]\) collects n reference natural frequencies \(f^0\), and the \(m \times n\) matrix \({{\varvec{\Phi }}}^0=[{{\varvec{\phi }}}_1^0 \dots {{\varvec{\phi }}}_n^0]\) collects column-...
Based on the modal scattering matrix method, the rigorous design takes into account both the finite branch heights and the higher-order mode interaction at all step discontinuities. Computer-optimized five-branch three-stub prototypes, designed for 3-dB+or-0.2-dB coupling, for the waveguide Ku-...
Fast and accurately evaluating the contribution due to the truncated modes to the response of harmonic excitation is put forward by Z.X.Liu without using the truncated modes. By using the series ex pansion of a matrix function and the theory of spectral representation of a matr ix, the contri...
Application of a modal approach in solving the static stability problem for power systems is examined. It is proposed to use the matrix exponent norm as a
New explicit closed-form solutions are derived for the evolutionary correlation and power spectraldensity (PSD) matrices characterizing the nonstationary r... BF Peng,JP Conte - 《Journal of Engineering Mechanics》 被引量: 28发表: 1998年 加载更多来源...