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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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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.73 No.3
- 발행연도
- 2020.1
- 수록면
- 271 - 286 (16page)
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초록· 키워드
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Passive control technologies are commonly used in several areas to suppress structural vibrations by the addition of supplementary damping, and some modal damping may be heavy beyond critical damping even for regular structures with energy dissipation devices. The design of passive control structures is typically based on (complex) mode superposition approaches. However, the conventional mode superposition approach is predominantly applied to cases of under-critical damping. Moreover, when any modal damping ratio is equal or close to 1.0, the system becomes defective, i.e., a complete set of eigenvectors cannot be obtained such that some well-known algorithms for the quadratic eigenvalue problem are invalid. In this paper, a generalized complex mode superposition method that is suitable for under-critical, critical and over-critical damping is proposed and expressed in a unified form for structural displacement, velocity and acceleration responses. In the new method, the conventional algorithm for the eigenvalue problem is still valid, even though the system becomes defective due to critical modal damping. Based on the modal truncation error analysis, modal corrected methods for displacement and acceleration responses are developed to approximately consider the contribution of the truncated higher modes. Finally, the implementation of the proposed methods is presented through two numerical examples, and the effectiveness is investigated. The results also show that over-critically damped modes have a significant impact on structural responses. This study is a development of the original complex mode superposition method and can be applied well to dynamic analyses of non-classically damped systems.
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참고문헌 (51)
참고문헌 신청
Akgu, M. A. / 1993 / A new family of mode-superposition methods for response calculations / J Sound Vib 167(2):289~302
Amin, M. / 1968 / Nonstationary stochastic model of earthquake motions / J Eng Mech ASCE 94(2):559~583
Benfratello, S. / 2001 / Mode-superposition correction method for deterministic and stochastic analysis of structural systems / Comput Struct 79(26-28):2471~2480
Besselink, B. / 2013 / A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control / J Sound Vib 332(19):4403~4422
Cacciola, P. / 2007 / A modal correction method for non-stationary random vibrations of linear systems / Probab. Eng. Mech 22(2):170~180
Amin, M. / 1968 / Nonstationary stochastic model of earthquake motions / J Eng Mech ASCE 94(2):559~583
Benfratello, S. / 2001 / Mode-superposition correction method for deterministic and stochastic analysis of structural systems / Comput Struct 79(26-28):2471~2480
Besselink, B. / 2013 / A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control / J Sound Vib 332(19):4403~4422
Cacciola, P. / 2007 / A modal correction method for non-stationary random vibrations of linear systems / Probab. Eng. Mech 22(2):170~180
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