000003534 001__ 3534
000003534 005__ 20141118153356.0
000003534 04107 $$acze
000003534 046__ $$k2006-05-15
000003534 100__ $$aNáprstek, J.
000003534 24500 $$aAlong wind random vibrations of a slender structure --- modelling by continuous elements

000003534 24630 $$n12.$$pENGINEERING MECHANICS 2006
000003534 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, v.v.i., Prague
000003534 506__ $$arestricted
000003534 520__ $$2eng$$aAlong wind random vibration of a slender structure represents one of the most important aeroelastic effects resulting from wind - structure interaction. The theoretical model being based on one-dimensional elements with continuously distributed mass and stiffness has been introduced in this paper. The system has been considered to be self-adjoint and with strongly non-proportional viscose damping with respect to materials of individual parts of the structure and due to vibration dampers. The random excitation of the linear system is gaussian and of additive type, therefore the response is gaussian as well. Consequently, mathematical mean value and correlation function are satisfactory for the full description of the generalized solution of the respective PDE in the stochastic meaning. The stationary solution has been obtained in generalized coordinates providing transparent results and very fast convergency. Using this procedure, the general results can be obtained in the form of analytical formulae for many important cases of input spectral densities.

000003534 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003534 653__ $$a

000003534 7112_ $$aENGINEERING MECHANICS 2006$$cSvratka (CZ)$$d2006-05-15 / 2006-05-18$$gEM2006
000003534 720__ $$aNáprstek, J.$$iPospíšil, S.
000003534 8560_ $$ffischerc@itam.cas.cz
000003534 8564_ $$s187590$$uhttps://invenio.itam.cas.cz/record/3534/files/Naprstek-310-PT.pdf$$y
             Original version of the author's contribution as presented on CD, , paper No. 310.
            
000003534 962__ $$r3410
000003534 980__ $$aPAPER