000021437 001__ 21437
000021437 005__ 20170522124354.0
000021437 04107 $$aeng
000021437 046__ $$k2017-05-15
000021437 100__ $$aSobotka, J.
000021437 24500 $$aFORCED VIBRATION ANALYSIS OF PRESTRESSED EULER-BERNOULLI BEAM WITH DISCONTINUITIES BY MEANS OF DISTRIBUTIONS WITHOUT USING MODAL ANALYSIS

000021437 24630 $$n23.$$pEngineering Mechanics 2017
000021437 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021437 506__ $$arestricted
000021437 520__ $$2eng$$aThis paper is a continuation of the previous paper in which the author published the generalized mathematical model for forced vibration of Euler-Bernoulli beam covering discontinuities caused by concentrated loading, concentrated support, concentrated inertia forces or internal hinges. In this new paper, the generalized mathematical model is augmented to cover geometric nonlinearity of stress stiffening or weakening of the beam with the same type of discontinuities. This new analytic approach can offer three advantages. Firstly, steady-state responses of the beam can be found directly without doing modal analysis. Secondly, these responses of the beam are expressed in closed form. Thirdly, remaining continuity conditions at points of the discontinuities are fulfilled automatically. To give an example of using this new approach based on distributions, new closed-form expressions for forced steady-state response of pre-stressed simply supported beam with concentrated harmonic loading are presented.

000021437 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021437 653__ $$aVibration, Beam, Discontinuities, Distributions, Dirac, Heaviside.

000021437 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021437 720__ $$aSobotka, J.
000021437 8560_ $$ffischerc@itam.cas.cz
000021437 8564_ $$s778321$$uhttps://invenio.itam.cas.cz/record/21437/files/0890.pdf$$yOriginal version of the author's contribution in proceedings, page 890, section DYN.
000021437 962__ $$r21225
000021437 980__ $$aPAPER