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ON THE REDUNDANCY OF complex modal PARAMETERS

Applied Mathematics and Mechanics(English Edition) 2004年第12期25卷 1412-1420页

作者：陈奎孚焦群英 College of Science China Agricultural University Beijing 100083 P.R.China

Generating the simulation transfer function (TF) is indispensable to modal analysis, such as examining modal parameters identification algorithm, and assessing modal analysis software. Comparing 3 feasible algorithms to simulate TF shows that,one of them is preperable,which is expressing the TF as the function of the complex modal parameters(CMPs),because the deliberate behaviors of CMPs can be implemented easily,such as,dense modals,large damping,and complex modal shape,***,even this preferable algorithms is elected,the complex modal shapes cannot be specified arbitrarily,because the number of CMPs far more exceeds that in physical *** for physical realizable system,there are redundant constraints in *** analyzing the eigenvalue problem of a complex modal system,and the inversion equations from CMPs to physical parameters,the explicit redundancy constraints were *** the special cases,such as the real modal,the damping free modal,and non-complete identification,the specific forms of the redundancy constraints were discussed,along with the number of independent *** is worthy of noting that,redundancy constraints are automatically satisfied for the real modal *** equivalent forms on the transfer matrix and a column of transfer matrix were also provided. These results are applicable to generate TF, to implement identification by optimization and appreciate the identification results, to evaluate residual modal, and to verify the complementary of identified modal orders.

关键词： vibration complex modal transfer function eigenvalue

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DIRECT SPECTURM ANALYSIS OF THE STATE SPACE FOR RANDOM VIBRATION OF MDOF LINEAR DAMPED SYSTEM

引用

Acta Mechanica Sinica 1990年第4期6卷 367-373页

作者： Zheng Zhaochang (Tsinghua University) Tsinghua University Beijing China

This paper proceeds from the general case of the unsymmetric linearized multi-degrees of free- dom(MDOF)*** adopting the general complex modal theory of the state space,the response analysis for a sys- tem subjected to random excitation of the same source is carried out using as a kind of direct spectrum analysis method in frequency *** the input of power spectral density function given,the explicit expression of the power spectral density function matrix of the output response can be *** taking Fourier inverse transform,the integrated expres- sions of the correlation function matrix and of the spectrum moment matrix are *** with the time domain method,this method enjoys the merit of visualization and avoids the procedure of transformation from the obtained re- sponse correlation function to be solved for the output spectrum utilizing Fourier *** paper has extended the application range of the traditional frequency domain analysis *** mean square values and variety of statistical val- ues can be obtained *** method and the time domain method are different in approach but equally satisfac- tory in their results.

关键词： spectrum analysis space state complex modal random vibration

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