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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.70 No.5
- 발행연도
- 2019.1
- 수록면
- 623 - 637 (15page)
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This paper analyzes the non-stationary vibration and super-harmonic resonances in nonlinear dynamic motion of viscoelastic nano-resonators. For this purpose, a new coupled size-dependent model is developed for a plate-shape nano-resonator made of nonlinear viscoelastic material based on modified coupled stress theory. The virtual work induced by viscous forces obtained in the framework of the Leaderman integral for the size-independent and size-dependent stress tensors. With incorporating the size-dependent potential energy, kinetic energy, and an external excitation force work based on Hamilton’s principle, the viscous work equation is balanced. The resulting size-dependent viscoelastically coupled equations are solved using the expansion theory, Galerkin method and the fourth-order Runge–Kutta technique. The Hilbert–Huang transform is performed to examine the effects of the viscoelastic parameter and initial excitation values on the nanosystem free vibration. Furthermore, the secondary resonance due to the super-harmonic motions are examined in the form of frequency response, force response, Poincare map, phase portrait and fast Fourier transforms. The results show that the vibration of viscoelastic nanosystem is non-stationary at higher excitation values unlike the elastic ones. In addition, ignoring the small-size effects shifts the secondary resonance, significantly.
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참고문헌 (73)
참고문헌 신청
Aifantis, E. C. / 1999 / Strain Gradient Interpretation of Size Effects / Springer
Masoud Ajri / 2018 / Analytical solution for nonlinear dynamic behavior of viscoelastic nano-plates modeled by consistent couple stress theory / Latin American Journal of Solids and Structures 15(9)
Ajri, M. / 2018 / Primary and secondary resonance analyses of viscoelastic nanoplates based on strain gradient theory / J. Appl. Mech 10(10):1850109
Seref D. Akbas / 2016 / Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium / Smart Structures and Systems, An International Journal 18(6):1125~1143
M. Amabili / 2004 / Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments / Computers & Structures 82(31-32):2587~2605
Masoud Ajri / 2018 / Analytical solution for nonlinear dynamic behavior of viscoelastic nano-plates modeled by consistent couple stress theory / Latin American Journal of Solids and Structures 15(9)
Ajri, M. / 2018 / Primary and secondary resonance analyses of viscoelastic nanoplates based on strain gradient theory / J. Appl. Mech 10(10):1850109
Seref D. Akbas / 2016 / Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium / Smart Structures and Systems, An International Journal 18(6):1125~1143
M. Amabili / 2004 / Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments / Computers & Structures 82(31-32):2587~2605
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