Pregled bibliografske jedinice broj: 457793
Optimizing a damped system - a case study
Optimizing a damped system - a case study // International journal of computer mathematics, 88 (2011), 7; 1533-1545 doi:10.1080/00207160.2010.521547 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 457793 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Optimizing a damped system - a case study
Autori
Tomljanović, Zoran ; Truhar, Ninoslav ; Veselić, Krešimir
Izvornik
International journal of computer mathematics (0020-7160) 88
(2011), 7;
1533-1545
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lyapunov equation ; Trace minimization ; Dampers' viscosity optimization ; Multiple eigenfrequencies ; Second order vibrational system
Sažetak
We consider a second-order damped-vibrational system described by the equation M(x) double over dot + C(v)(x) over dot + Kx = 0, where M, C(v), K are real, symmetric matrices of order n. We assume that the undamped eigenfrequencies (eigenvalues of (lambda(2)M + K)x = 0) omega(1), omega(2), ... , omega(n), are multiple in the sense that omega(1) = omega(2), omega(3) = omega(4), ... , omega(n-1) = omega(n), or are given in close pairs omega(1) approximate to omega(2), omega(3) approximate to omega(4), ... , omega(n-1) approximate to omega(n). We present a formula which gives the solution of the corresponding phase space Lyapunov equation, which then allows us to calculate the first and second derivatives of the trace of the solution, with no extra cost. It can serve for the efficient trace minimization.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
235-2352818-1042 - Pasivna kontrola mehaničkih modela (Truhar, Ninoslav, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- ACM Guide to Computing Literature
- Astrophysics Data System
- British Library Inside
- CSA Technology Research Database (Computers and Information Systems Abstracts)
- Current Index to Statistics
- EBSCO Databases
- ISI Current Contents® - Engineering, Computing and Technology
- ISI Science Citation Index Expanded™
- Mathematical Reviews/MathSciNet
- New Jour
- SciBase
- Scopus™
- Zentralblatt MATH/Mathemat
