DETERMINATION OF OPTIMAL ELASTIC SPRINGS FOR CANTILEVER BEAMS SUPPORTED BY ELASTIC FOUNDATION
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Acad Sci Czech Republic, Inst Theoretical & Applied Mechanics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
24th International Conference on Engineering Mechanics -- MAY 14-17, 2018 -- Svratka, CZECH REPUBLIC
Anahtar Kelimeler
optimal springs, shear force minimization, beam vibration, optimal stiffness, transfer functions
Kaynak
Engineering Mechanics 2018 Proceedings, Vol 24
WoS Q Değeri
N/A
