- Tytuł:
- Design of the oscillatory systems with the extremal dynamic properties
- Autorzy:
-
Górecki, H.
Zaczyk, M. - Powiązania:
- https://bibliotekanauki.pl/articles/200267.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
extremal dynamic properties
oscillatory systems
symmetrical equations
regions of the roots - Opis:
- In this article the problem of determination of such coefficients a1, a2, ..., an and eigenvalues s1, s2, ..., sn of the characteristic equation which yield required extremal values of the solution x(t) at the extremal value τ of time is solved. The extremal values of x(τ ) and τ are treated as functions of the roots s1, s2, ..., sn. The analytical formulae enable us to design the systems with prescribed dynamic properties. For solution of the problem the properties of symmetrical equations are used. The method is illustrated by an example of the equation of 4-th degree. The regions of the different kinds of the roots: real, with one pair of complex and two pairs of complex roots are illustrated. A practical problem is shown.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 241-253
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł