Stochastic seismic analysis of MDOF structures with nonlinear viscous dampers

Paola, Mario Di; Navarra, Giacomo

doi:10.1002/stc.254

Cited by 50 publications

(27 citation statements)

References 23 publications

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“…The serviceability criterion in this objective function is to seek the optimized deployment of damping coefficients related to the damper sizes and placements through minimizing J 1 . As mentioned in the previous sections that the statistical linearization technique has a higher accuracy and efficiency than the conventional energy‐dissipation equivalent linearization method, it is thus a preferred scheme for the optimization of nonlinear viscous dampers deployed in structures from the perspective of saving computational costs . Based on the linearized structural system, moreover, the frequency analysis methods can be employed whereby the auto‐power spectral density and the STD of structural responses are readily obtained.…”

Section: Serviceability Criteria For Optimal Design Of Viscously Dampmentioning

confidence: 99%

“…Thereby conventional direct time‐integration method, for example, the Newmark method, suffers from instability, whereas the accuracy of the commonly used energy‐dissipation equivalent linearization method might be inadequate. Concerned with this challenge, the backward differentiation formula (BDF), one of the most widely used scheme dealing with stiff problem, was introduced and proved to be of better adaptability with high accuracy and stability, through comparing with the Newmark method, KR‐α method, the energy‐dissipation equivalent linearization method, and the statistical linearization technique …”

Section: Introductionmentioning

confidence: 99%

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Serviceability-based damping optimization of randomly wind-excited high-rise buildings

Zeng

Peng

Chen

2017

Struct Design Tall Spec Build

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Summary Fluid viscous dampers are proved to be effective for reducing the response of high‐rise buildings subjected to wind excitations so as to enhance structural habitability, which serves as a critical performance in serviceability design. High‐rise buildings attached with fluid viscous dampers, however, exhibit nonlinearity and even act as stiff systems in most cases of wind‐induced vibration mitigation. The traditional equivalent linearization methods employed in practices often fail to obtain an accurate solution. Equivalent linearization methods, including the energy‐dissipation equivalent linearization method and the statistical linearization technique, are first studied and validated in this paper by the backward difference formula, which was verified to be of high accuracy through the nonlinear dynamic analysis. The damping optimization for habitability control is then proceeded. Two families of serviceability criteria, the minimization of standard deviation of roof acceleration employed in traditional habitability analysis and the minimization of failure probability of roof acceleration proposed in the present study, are addressed. For the logical treatment of randomness inherent in wind excitations and its influence upon structural reliability, the probability density evolution method is employed. Numerical results reveal that the criterion of minimizing failure probability of roof acceleration has better performance in habitability enhancement.

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Section: Serviceability Criteria For Optimal Design Of Viscously Dampmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Serviceability-based damping optimization of randomly wind-excited high-rise buildings

Zeng

Peng

Chen

2017

Struct Design Tall Spec Build

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“…Fluid viscous damper (FVD) is one of the most effective control systems for protecting the structures against earthquake that different methods have been proposed for the design of this control system . DDBD approach has been also developed for designing the structures equipped with FVD in order to achieve a desirable performance level.…”

Section: Introductionmentioning

confidence: 99%

Modified direct displacement‐based design approach for structures equipped with fluid viscous damper

Noruzvand

Mohebbi

Shakeri

2019

Struct Control Health Monit

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Summary Direct displacement‐based design (DDBD) approach is one of the most effective performance‐based design methods. In this paper, a modified version of DDBD is proposed for the design of structures equipped with fluid viscous damper (FVD) that the effect of higher modes and difference between spectral velocity and pseudo‐spectral velocity are applied in the design process. Different steel moment frames equipped with FVD have been designed using the proposed method, and the achievement of desirable performance level has been evaluated under different earthquake records. For comparison objectives, the performance of the modified method has been compared with the previously proposed DDBD. Although the structures designed using the previously proposed DDBD have achieved the desirable performance level, the peak story drift is significantly less than the target drift and this design approach leads to an expensive overdesign, whereas in the structures designed using the modified DDBD, the peak story drift is close to the target drift and the achievement of desirable performance level has been effectively satisfied. Therefore, the drawback of overdesign has been solved, and the modified version of DDBD can be considered as an effective design approach for structures equipped with FVD.

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“…To wit, using nonlinear viscous dampers with a low velocity exponent results in lower peak damping forces with the same energy dissipation amount, which leads to limited base shears and floor accelerations . General nonlinear fluid dampers have been evaluated in analysis and design of building structures recently . In these studies, the assessment of nonlinear fluid dampers is moving away from traditional deterministic techniques to probabilistic performance‐based methodologies …”

Section: Introductionmentioning

confidence: 99%

Effectiveness evaluation and optimal design of nonlinear viscous dampers for inelastic structures under pulse‐type ground motions

Xie

Zhang

Wang³

2018

Earthq Engng Struct Dyn

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Summary This paper addresses the effectiveness and optimal design of nonlinear viscous dampers for inelastic structures. First, a nonlinear damping index is derived by using the dimensional analysis to estimate the damping induced by supplemental nonlinear dampers on inelastic single degree of freedom (SDOF) structures. Subsequently, the effects of the added nonlinear damping on the seismic responses of inelastic SDOF systems are analyzed in dimensionless forms when subject to various near‐fault ground motions. The structure‐to‐motion frequency ratio, the motion characteristics, and the structural nonlinearity are the main factors that will affect the damping effectiveness. Especially, it is shown that adding nonlinear viscous dampers will decrease displacement demands yet sometimes lead to amplified acceleration responses. Furthermore, an equivalency procedure is developed to match the inelastic multi‐degree of freedom (MDOF) structure that is equipped with multiple nonlinear viscous dampers to its corresponding SDOF system. Such equivalency justifies that the analysis results for the viscous damping efficiency on SDOF systems can be congruously applied to realistic multi‐story structures. Finally, the optimal designs of nonlinear dampers for MDOF inelastic structures are identified by implementing a hybrid genetic optimization framework along with a robust performance index.

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Stochastic seismic analysis of MDOF structures with nonlinear viscous dampers

Cited by 50 publications

References 23 publications

Serviceability-based damping optimization of randomly wind-excited high-rise buildings

Serviceability-based damping optimization of randomly wind-excited high-rise buildings

Modified direct displacement‐based design approach for structures equipped with fluid viscous damper

Effectiveness evaluation and optimal design of nonlinear viscous dampers for inelastic structures under pulse‐type ground motions

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