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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Smart Structures and Systems, An International Journal Smart Structures and Systems, An International Journal Vol.17 No.5
- 발행연도
- 2016.1
- 수록면
- 753 - 771 (19page)
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This paper addresses the free and transient responses of a SDOF linear complex stiffness system by making use of the Hilbert transform and the convolution integral. Because the second-order differential equation of motion having the complex stiffness give rise to the conjugate complex eigen values, its time-domain analysis using the standard time integration scheme suffers from the numerical instability and divergence. In order to overcome this problem, the transient response of the linear complex stiffness system is obtained by the convolution integral of a green function which corresponds to the unit-impulse free vibration response of the complex system. The damped free vibration of the complex system is theoretically derived by making use of the state-space formulation and the Hilbert transform. The convolution integral is implemented by piecewise-linearly interpolating the external force and by superimposing the transient responses of discretized piecewise impulse forces. The numerical experiments are carried out to verify the proposed time-domain analysis method, and the correlation between the real and imaginary parts in the free and transient responses is also investigated.
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참고문헌 (25)
참고문헌 신청
Bae, S. H. / 2014 / A discrete convolutional Hilbert transform with the consistent imaginary initial conditions for the time-domain analysis of five-layered viscoelastic sandwich beam / Comput. Method. Appl. M. 268:245~263
Bae, S. H. / 2014 / Time-duration extended Hilbert transform superposition for the reliable impact response analysis of five-layered damped sandwich beams / Finite Elem. Anal. Des. 90:41~49
Bae, S. H. / 2014 / Transient response of complex stiffness system using a green function from the Hilbert transform and the steady space technic / Proc. Inter.noise :1~10
Chen, L. Y. / 1994 / Free vibrations of a SDOF system with hysteretic damping / Mech. Res. Commun 21:599~604
Chen, J.T. / 1997 / Hysteretic damping revisited / Adv. Eng. Softw 28:165~171
Bae, S. H. / 2014 / Time-duration extended Hilbert transform superposition for the reliable impact response analysis of five-layered damped sandwich beams / Finite Elem. Anal. Des. 90:41~49
Bae, S. H. / 2014 / Transient response of complex stiffness system using a green function from the Hilbert transform and the steady space technic / Proc. Inter.noise :1~10
Chen, L. Y. / 1994 / Free vibrations of a SDOF system with hysteretic damping / Mech. Res. Commun 21:599~604
Chen, J.T. / 1997 / Hysteretic damping revisited / Adv. Eng. Softw 28:165~171
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