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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.20 No.5
- 발행연도
- 2016.1
- 수록면
- 1,119 - 1,131 (13page)
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초록· 키워드
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As a first attempt, an inverse hybrid numerical method for small scale parameter estimation of functionally graded (FG) nanobeams using measured frequencies is presented. The governing equations are obtained with the Eringen's nonlocal elasticity assumptions and the first-order shear deformation theory (FSDT). The equations are discretized by using the differential quadrature method (DQM). The discretized equations are transferred from temporal domain to frequency domain and frequencies of the nanobeam are obtained. By applying random error to these frequencies, measured frequencies are generated. The measured frequencies are considered as input data and inversely, the small scale parameter of the beam is obtained by minimizing a defined functional. The functional is defined as root mean square error between the measured frequencies and calculated frequencies by the DQM. Then, the conjugate gradient (CG) optimization method is employed to minimize the functional and the small scale parameter is obtained. Efficiency, convergence and accuracy of the presented hybrid method for small scale parameter estimation of the beams for different applied random error, boundary conditions, length-to-thickness ratio and volume fraction coefficients are demonstrated.
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참고문헌 (23)
참고문헌 신청
Ansari, R. / 2014 / Nonlinear vibration analysis of Timoshenko nanobeams based on surface stress elasticity theory / Eur. J. Mech. A-Solid. 45:143~152
Chan, K.T. / 2011 / The dispersion characteristics of the waves propagating in a spinning single-walled carbon nanotube / Sci. China-Phys. Mech. Astron. 54(10):1854~1865
Duan, W.H. / 2007 / Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics / J. Appl. Phys. 101(2):024305
Eringen, A.C. / 1983 / On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves / J. Appl. Phys. 54(9):4703~4710
Hosseini-Hashemi, S. / 2015 / Nonlocal nonlinear free vibration of nanobeams with surface effect / Eur. J. Mech. A-Solid. 52:44~53
Chan, K.T. / 2011 / The dispersion characteristics of the waves propagating in a spinning single-walled carbon nanotube / Sci. China-Phys. Mech. Astron. 54(10):1854~1865
Duan, W.H. / 2007 / Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics / J. Appl. Phys. 101(2):024305
Eringen, A.C. / 1983 / On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves / J. Appl. Phys. 54(9):4703~4710
Hosseini-Hashemi, S. / 2015 / Nonlocal nonlinear free vibration of nanobeams with surface effect / Eur. J. Mech. A-Solid. 52:44~53
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