. "Z\u00E1pado\u010Desk\u00E1 univerzita v Plzni" . "23520" . . . "Neline\u00E1rn\u00ED vibrace potrub\u00ED p\u0159epravuj\u00EDc\u00EDch tekutinu"@cs . "The modelling and influence of initial conditions and fluid flow velocity to the vibration of pipeline system model is the subject of this paper. The mentioned model takes into account the large displacements and rotations but small strains and thus the validity of Hoocke’s law is supposed. A corotational formula is used for deriving of equation of motion and individual element matrices and vectors expressing inner and inertia forces. Inspite of small deformations a Green‘s strain tensor relative to the corotational coordinate system is used to be able to respect the membrane forces-Crisfield (1991). The second Piola-Kirchhof tensor is used as a measure of stress. The matrices corresponding to the inner and inertia forces are displacement and velocity dependent and for this reason a special approach to the integration is used." . . "488854" . . . "RIV/49777513:23520/06:00000475!RIV07-MSM-23520___" . . "10"^^ . "Computational mechanics 2006" . . "Hrad Ne\u010Dtiny" . . "P\u0159edm\u011Btem \u010Dl\u00E1nku je modelov\u00E1n\u00ED a vliv po\u010D\u00E1te\u010Dn\u00EDch podm\u00EDnek a rychlosti prot\u00E9kaj\u00EDc\u00ED tekutiny na vibrace potrubn\u00EDho syst\u00E9mu. Zm\u00EDn\u011Bn\u00FD model respektuje velk\u00E1 posunut\u00ED a velk\u00E9 rotace, av\u0161ak pouze mal\u00E9 deformace a p\u0159edpokl\u00E1d\u00E1 se platnost Hoockeova z\u00E1kona. Pro odvozen\u00ED pohybov\u00E9 rovnice, koeficientov\u00FDch matic jednotliv\u00FDch prvk\u016F a vektor\u016F vnit\u0159n\u00EDch a setrva\u010Dn\u00FDch sil je pou\u017Eita korota\u010Dn\u00ED formulace. Navzdory mal\u00FDm deformac\u00EDm je pou\u017Eit Green\u016Fv deforma\u010Dn\u00ED tenzor pro respektov\u00E1n\u00ED membr\u00E1nov\u00FDch sil Crisfield (1991). Jako m\u00EDra nap\u011Bt\u00ED je pou\u017Eit 2. Piola-Kirchhof\u016Fv tensor nap\u011Bt\u00ED. Matice odpov\u00EDdaj\u00EDc\u00ED vnit\u0159n\u00EDm a setrva\u010Dn\u00FDm jsou z\u00E1visl\u00E9 na v\u00FDchylk\u00E1ch a rychlostech, a proto je pou"@cs . . "Z(MSM4977751303)" . "Pilsen" . "1"^^ . "Nonlinear vibration of the pipelines conveying fluid"@en . "113-122" . . "Nonlinear vibration of the pipelines conveying fluid" . . . . "80-7043-477-5" . "1"^^ . "[74883DE1A882]" . . . . "vibration; pipeline system; FEM; large displacements"@en . "Neline\u00E1rn\u00ED vibrace potrub\u00ED p\u0159epravuj\u00EDc\u00EDch tekutinu"@cs . "Nonlinear vibration of the pipelines conveying fluid"@en . "RIV/49777513:23520/06:00000475" . "Dupal, Jan" . "2006-01-01+01:00"^^ . "Nonlinear vibration of the pipelines conveying fluid" . "The modelling and influence of initial conditions and fluid flow velocity to the vibration of pipeline system model is the subject of this paper. The mentioned model takes into account the large displacements and rotations but small strains and thus the validity of Hoocke’s law is supposed. A corotational formula is used for deriving of equation of motion and individual element matrices and vectors expressing inner and inertia forces. Inspite of small deformations a Green‘s strain tensor relative to the corotational coordinate system is used to be able to respect the membrane forces-Crisfield (1991). The second Piola-Kirchhof tensor is used as a measure of stress. The matrices corresponding to the inner and inertia forces are displacement and velocity dependent and for this reason a special approach to the integration is used."@en .