The principle of static control of eigenfrequencies on the basis of physical nonlinearity

Abstract

The dynamics of a structure in the state of plane stress and also the problem of plate bending are analyzed in this paper. The application of the statical loading by taking the physical nonlinearity into account enables to control the eigenfrequencies of the structure. The approximate method of analysis is proposed. Thus the eigenpairs influenced by the nonlinearity are calculated. This method of statical control of eigenfrequencies on the basis of physical nonlinearity is applicable in the design of vibrational mechanisms.

Pasiūlyta supaprastinta skaitmeninė procedūra savųjų reikšmių uždaviniui spręsti, kurioje įvertinama statinio fizinio netiesiškumo įtaka. Nagrinėjamuoju metodu galima statiškai valdyti konstrukcijos savuosius dažnius. Procedūra taikoma plokščios įtemptos būsenos bei plokštelės lenkimo uždaviniams spręsti.