지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.26 No.4
- 발행연도
- 2018.1
- 수록면
- 453 - 461 (9page)
이용수
초록· 키워드
오류제보하기
In this paper, nonlinear vibrations of the unsymmetrical laminated composite beam (LCB) on a nonlinear elastic foundation are studied. The governing equation of the problem is derived by using Galerkin method. Two different end conditions are considered: the simple-simple and the clamped-clamped one. The Hamiltonian Approach (HA) method is adopted and applied for solving of the equation of motion. The advantage of the suggested method is that it does not need any linearization of the problem and the obtained approximate solution has a high accuracy. The method is used for frequency calculation. The frequency of the nonlinear system is compared with the frequency of the linear system. The influence of the parameters of the foundation nonlinearity on the frequency of vibration is considered. The differential equation of vibration is solved also numerically. The analytical and numerical results are compared and is concluded that the difference is negligible. In the paper the new method for error estimation of the analytical solution in comparison to the exact one is developed. The method is based on comparison of the calculation energy and the exact energy of the system. For certain numerical data the accuracy of the approximate frequency of vibration is determined by applying of the suggested method of error estimation. Finally, it has been indicated that the proposed Hamiltonian Approach gives enough accurate result.
목차
등록된 정보가 없습니다.
참고문헌 (54)
참고문헌 신청
Alkayem, N.F. / 2017 / Structural damage detection using finite element model updating with evolutionary algorithms: a survey / Neural Comput. Appl. :1~23
Arikoglu, A. / 2005 / Solution of boundary value problems for integro-differential equations by using transform method / Appl. Math. Comput. 168(2):1145~1158
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
Babilio, E. / 2013 / Dynamics of an axially functionally graded beam under axial load / Eur. Phys. J. Special Topics 222(7):1519~1539
Babilio, E. / 2014 / Dynamics of functionally graded beams on viscoelastic foundation / Int. J. Struct. Stabil. Dyn. 14(8):1440014
Arikoglu, A. / 2005 / Solution of boundary value problems for integro-differential equations by using transform method / Appl. Math. Comput. 168(2):1145~1158
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
Babilio, E. / 2013 / Dynamics of an axially functionally graded beam under axial load / Eur. Phys. J. Special Topics 222(7):1519~1539
Babilio, E. / 2014 / Dynamics of functionally graded beams on viscoelastic foundation / Int. J. Struct. Stabil. Dyn. 14(8):1440014
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems
Structural engineering and mechanics : An international journal
2017 .01
-
Nonlinear frequency analysis of beams resting on elastic foundation using max-min approach
Geomechanics & engineering
2018 .01
-
Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam
Smart Structures and Systems, An International Journal
2020 .01
-
Nonlinear free vibration analysis of a composite beam reinforced by carbon nanotubes
Steel and Composite Structures, An International Journal
2023 .02
-
Structural health monitoring through nonlinear frequency-based approaches for conservative vibratory systems
Structural Engineering and Mechanics, An Int＇l Journal
2020 .01
-
Mathematical solution for nonlinear vibration equations using variational approach
Smart structures and systems
2015 .01
-
Nonlinear thermal vibration of FGM beams resting on nonlinear viscoelastic foundation
Steel and Composite Structures, An International Journal
2022 .08
-
Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation
Structural engineering and mechanics : An international journal
2017 .01
-
Analytical study on non-natural vibration equations
Steel and Composite Structures, An International Journal
2017 .01
-
Nonlinear vibration of oscillatory systems using semi-analytical approach
Structural engineering and mechanics : An international journal
2018 .01
-
An analytical study on the nonlinear vibration of a double-walled carbon nanotube
Structural engineering and mechanics : An international journal
2015 .01
-
Nonlinear dynamic and stability of a beam resting on the nonlinear elastic foundation under thermal effect based on the finite strain theory
Structural Engineering and Mechanics, An Int＇l Journal
2021 .11
-
A novel approximate solution for nonlinear problems of vibratory systems
Structural engineering and mechanics : An international journal
2016 .01
-
A new analytical approach for determination of flexural, axial and torsional natural frequencies of beams
Structural engineering and mechanics : An international journal
2015 .01
-
Nonlinear vibration of conservative oscillator's using analytical approaches
Structural engineering and mechanics : An international journal
2016 .01
-
Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation
Structural Engineering and Mechanics, An Int＇l Journal
2017 .01
-
Nonlinear vibration and stability of FG nanotubes conveying fluid via nonlocal strain gradient theory
Structural Engineering and Mechanics, An Int＇l Journal
2021 .01
-
Nonlinear vibration analysis of composite laminated trapezoidal plates
Steel and Composite Structures, An International Journal
2016 .01
-
Magnetic field effect on nonlinear vibration of nonlocal nanobeam embedded in nonlinear elastic foundation
Structural Engineering and Mechanics, An Int＇l Journal
2021 .09
이 논문의 저자 정보
최근 본 자료
댓글(0)
0