000022691 001__ 22691
000022691 005__ 20220110134521.0
000022691 04107 $$aeng
000022691 046__ $$k2018-05-14
000022691 100__ $$aAydin, E.
000022691 24500 $$aDetermination of optimal elastic springs for cantilever beams supported by elastic foundation

000022691 24630 $$n24.$$pEngineering Mechanics 2018
000022691 260__ $$bInstitute of Theoretical and Applied Mechanics of the Cech Academy of Sciences, Prague
000022691 506__ $$arestricted
000022691 520__ $$2eng$$a In this study, the optimum distribution of the elastic springs in which a built-in cantilever beam is seated, so as to minimize the shear force on the support of the beam, is investigated. The Fourier transform is applied to the vibration equation of the beam written in the time domain and is shown by the structural behaviour transfer function which is made independent from the external influence. For the first and second modes of beam, the optimum locations and amounts of the springs were investigated so that the shear force transfer function amplitude was minimal. Stiffness coefficients of springs are taken as design variables. There are active constraints on the sum of the spring coefficients taken as design variables and passive constraints on each of them as the upper and lower bounds. Optimality criteria are derived using the Lagrange Multipliers method. The gradient information required for solving the optimization problem is analytically derived. Numerical results show that the aimed method is quite effective in finding optimum spring stiffness coefficients.

000022691 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022691 653__ $$aoptimal springs, shear force minimization, beam vibration, optimal stiffness, transfer functions

000022691 7112_ $$aEngineering Mechanics 2018$$cSvratka, CZ$$d2018-05-14 / 2018-05-17$$gEM2018
000022691 720__ $$aAydin, E.$$iÖztürk, B.$$iDutkiewicz, M.
000022691 8560_ $$ffischerc@itam.cas.cz
000022691 8564_ $$s392477$$uhttps://invenio.itam.cas.cz/record/22691/files/033.pdf$$yOriginal version of the author's contribution in proceedings, page , section DYN.
000022691 962__ $$r21225
000022691 980__ $$aPAPER