2007
DOI: 10.1016/j.finel.2007.06.001
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Dynamic reduction strategies to extend modal analysis approach at higher frequencies

Abstract: Modal analysis on huge finite element models requires a numerical simplification in terms of total number of degrees of freedom (d.o.f.'s). The above aim is generally achieved by choosing some master d.o.f.'s and condensing the structure matrices on those d.o.f.'s. Static condensation (i.e. stiffness matrix reduction) is theoretically an errorless operation; on the other hand, mass condensation can only be approximate in dynamic applications. In order to accomplish matrix condensation, the technique mainly use… Show more

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Cited by 14 publications
(10 citation statements)
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“…The obtained mathematical model Eqs. (11) and (14) of the system under investigation in its state variables is based on the application of variables for defining the state of the system provided in the Eq. (4).…”
Section: The Proposed Version Of the Equations Of State Variables Andmentioning
confidence: 99%
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“…The obtained mathematical model Eqs. (11) and (14) of the system under investigation in its state variables is based on the application of variables for defining the state of the system provided in the Eq. (4).…”
Section: The Proposed Version Of the Equations Of State Variables Andmentioning
confidence: 99%
“…This version differs from the above-mentioned one (see the Eqs. (11) and (14)) in a considerably simpler structure of the differential equations; in addition, it provides an opportunity of a major reduction of these equations using the method of modal truncation.…”
Section: The Proposed Version Of the Equations Of State Variables Andmentioning
confidence: 99%
See 1 more Smart Citation
“…'s of their ends, results are accurate for mode I, f 1;n =ð0:3f s;n Þ % 0:4 (the relative error is less than 3‰), and acceptable for mode II, f 2;n =ð0:3f s;n Þ % 1:5 (the relative error being nearly 2%). For higher modes, frequency values are overestimated by more than 50%: more sophisticated techniques (see (Savini and Vivo, 2007) and related references) or Guyan's reduction with respect to a larger number of degrees of freedom must hence be considered. Values reported in Table 3 corresponding to mode III are computed by choosing as masters the 15 d.o.f.…”
Section: Natural Frequenciesmentioning
confidence: 99%
“…Computation times are rising steeply, whereas time-tomarket should be reduced. Solving these FE models for natural frequencies and eigenvectors in an acceptable amount of time is only possible with high performance computers [4,5]. Therefore, there has been an increasing need for new and innovative solution methods and much research has focused on different ways of increasing the applicable frequency range of deterministic methods like the fast multi-pole boundary element method (MPBEM) [6,7] and the wave based method (WMB) [4,8].…”
Section: Introductionmentioning
confidence: 99%