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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.62 No.6
- 발행연도
- 2017.1
- 수록면
- 759 - 769 (11page)
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초록· 키워드
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The effect of central axial load on natural frequencies of various thin-walled beams, are investigated by some researchers using different methods such as finite element, transfer matrix and dynamic stiffness matrix methods. However, there are situations that the load will be off centre. This type of loading is called eccentric load. The effect of the eccentricity of axial load on the natural frequencies of asymmetric thin-walled beams is a subject that has not been investigated so far. In this paper, the mentioned effect is studied using exact dynamic stiffness matrix method. Flexure and torsion of the aforesaid thin-walled beam is based on the Bernoulli-Euler and Vlasov theories, respectively. Therefore, the intended thin-walled beam has flexural rigidity, saint-venant torsional rigidity and warping rigidity. In this paper, the Hamilton’s principle is used for deriving governing partial differential equations of motion and force boundary conditions. Throughout the process, the uniform distribution of mass in the member is accounted for exactly and thus necessitates the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm. Finally, in order to verify the accuracy of the presented theory, the numerical solutions are given and compared with the results that are available in the literature and finite element solutions using ABAQUS software.
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참고문헌 (22)
참고문헌 신청
Banerjee, J. R. / 1989 / Coupled bending torsional dynamic stiffness matrix for beam elements / Int. J. Numer. Method. Eng 28(6):1283~1298
Banerjee, J. R. / 1991 / A Fortran routine for computation of coupled bending-torsional dynamic stiffness matrix of beam elements / Adv. Eng. Softw 13(1):17~24
Banerjee, J. R. / 1992 / Coupled bendingtorsional dynamic stiffness matrix for Timoshenko beam elements / Comput. Struct 42(3):301~310
Banerjee, J. R. / 1992 / Coupled bending-torsional dynamic stiffness matrix for axially loaded beam elements / Int. J. Numer. Method. Eng 33(4):739~751
Banerjee, J. R. / 1994 / Coupled bendingtorsional dynamic stiffness matrix for an axially loaded Timoshenko beam element / Int. J. Solid. Struct 31(6):749~762
Banerjee, J. R. / 1991 / A Fortran routine for computation of coupled bending-torsional dynamic stiffness matrix of beam elements / Adv. Eng. Softw 13(1):17~24
Banerjee, J. R. / 1992 / Coupled bendingtorsional dynamic stiffness matrix for Timoshenko beam elements / Comput. Struct 42(3):301~310
Banerjee, J. R. / 1992 / Coupled bending-torsional dynamic stiffness matrix for axially loaded beam elements / Int. J. Numer. Method. Eng 33(4):739~751
Banerjee, J. R. / 1994 / Coupled bendingtorsional dynamic stiffness matrix for an axially loaded Timoshenko beam element / Int. J. Solid. Struct 31(6):749~762
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