Minimum dynamic response of cantilever beams supported by optimal elastic springs
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TECHNO-PRESS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, optimal distribution of springs which supports a cantilever beam is investigated to minimize two objective functions defined. The optimal size and location of the springs are ascertained to minimize the tip deflection of the cantilever beam. Afterwards, the optimization problem of springs is set up to minimize the tip absolute acceleration of the beam. The Fourier Transform is applied on the equation of motion and the response of the structure is defined in terms of transfer functions. By using any structural mode, the proposed method is applied to find optimal stiffness and location of springs which supports a cantilever beam. The stiffness coefficients of springs are chosen as the design variables. There is an active constraint on the sum of the stiffness coefficients and there are passive constraints on the upper and lower bounds of the stiffness coefficients. Optimality criteria are derived by using the Lagrange Multipliers. Gradient information required for solution of the optimization problem is analytically derived. Optimal designs obtained are compared with the uniform design in terms of frequency responses and time response. Numerical results show that the proposed method is considerably effective to determine optimal stiffness coefficients and locations of the springs. stiffness
Açıklama
Anahtar Kelimeler
optimal stiffness, beam vibrations, transfer functions, optimal support location, support stiffness
Kaynak
STRUCTURAL ENGINEERING AND MECHANICS
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
51
Sayı
3
