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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.14 No.1
- 발행연도
- 2013.1
- 수록면
- 73 - 83 (11page)
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In this paper Hamiltonian Approach (HA) have been used to analysis the nonlinear free vibration of Simply-Supported (S-S) and for the Clamped-Clamped (C-C) Euler-Bernoulli beams fixed at one end subjected to the axial loads. First we used Galerkin’s method to obtain an ordinary differential equation from the governing nonlinear partial differential equation. The effect of different parameter such as variation of amplitude to the obtained on the non-linear frequency is considered. Comparison of HA with Runge-Kutta 4th leads to highly accurate solutions. It is predicted that Hamiltonian Approach can be applied easily for nonlinear problems in engineering.
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참고문헌 (34)
참고문헌 신청
Azrar, L. / 1999 / A semi-analytical approach to the non-linear dynamic response problem of S–S and C–C beams at large vibration amplitudes part I: General theory and application to the single mode approach to free and forced vibration analysis / J. Sound Vib 224(2):183~207
Bayat, M. / 2011 / Analysis of nonlinear vibration of coupled systems with cubic nonlinearity / Mechanika 17(6):620~629
Bayat, M. / 2011 / Dynamic response of axially loaded Euler-Bernoulli beams / Mechanika 17(2):172~177
Bayat, M. / 2011 / An analytical approach on a mass grounded by linear and nonlinear springs in series / Int. J. Phy. Sci. 6(2):229~236
Bayat, M. / 2011 / Analytical study on the vibration frequencies of tapered beams / Latin American J. Solids Struct. 8(2):149~162
Bayat, M. / 2011 / Analysis of nonlinear vibration of coupled systems with cubic nonlinearity / Mechanika 17(6):620~629
Bayat, M. / 2011 / Dynamic response of axially loaded Euler-Bernoulli beams / Mechanika 17(2):172~177
Bayat, M. / 2011 / An analytical approach on a mass grounded by linear and nonlinear springs in series / Int. J. Phy. Sci. 6(2):229~236
Bayat, M. / 2011 / Analytical study on the vibration frequencies of tapered beams / Latin American J. Solids Struct. 8(2):149~162
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