Effective damping and frequencies of viscous damper braced structures considering the supports flexibility

Losanno, Daniele; Londoño, Julián M.; Zinno, Stefania; Serino, Giorgio

doi:10.1016/j.compstruc.2017.07.022

Cited by 41 publications

(23 citation statements)

References 20 publications

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“…The system matrix A s defined in Equation contains the whole system's physical characteristics, including those of the NSADs and the MDOF structure. By studying the eigenvalues of the system matrix A s , the influence of the NSAD on the dynamic characteristic can be evaluated …”

Section: Effective Damping and Frequencies Of Mdof With Nsadsmentioning

confidence: 99%

“…Then, the effective damped frequencies and the corresponding structural damping ratio for the k th mode can be evaluated as

ω_{k} = (||, λ_{k}),

ξ_{k} = - \frac{μ_{k}}{|λ_{k}|} .

…”

Section: Effective Damping and Frequencies Of Mdof With Nsadsmentioning

confidence: 99%

“…Moreover, the required damping parameter γ 0 to achieve the maximum damping ratio also increases. All these result for the MDE is consistent with conclusions drawn from other scholars …”

Section: Effective Damping and Frequencies Of Mdof With Nsadsmentioning

confidence: 99%

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Simplified optimal design of MDOF structures with negative stiffness amplifying dampers based on effective damping

Wang

Sun

Nagarajaiah

2019

Structural Design Tall Build

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SUMMARY This paper presents a study on multi‐degree‐of‐freedom (MDOF) structures equipped with a negative stiffness amplifying damper (NSAD). The NSAD not only preserves the negative stiffness feature of negative stiffness devices (NSDs) but also achieves prominent damping magnification effect, substantially reducing a NSD's requirement for high additional damping, which is used to contain the increased displacements resulting from the reduction in overall stiffness of a system. The dynamic equations of MDOF systems with NSADs are described in state–space representation, and the effective damping and frequencies are parametrically studied. Then, a simple optimization method is proposed. A study of the 20‐storey benchmark building shows that NSADs are the most efficient of supplemental devices in reducing interstorey drifts compared with viscous dampers (VDs) and viscoelastic dampers (VEDs) with the same supplemental damping coefficient. For instance, when compared with that of VEDs, the maximal peak interstorey of NSADs can be further reduced by about 30%. In terms of reducing acceleration responses, NSADs perform much better than VDs and VEDs owing to their negative stiffness feature. Partially arranged, NSADs are best implemented at the storeys that have smaller interstorey drift responses. This is because the negative stiffness preserved by NSADs significantly reduces the interstorey drift of storeys without NSADs.

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Section: Effective Damping and Frequencies Of Mdof With Nsadsmentioning

confidence: 99%

“…Then, the effective damped frequencies and the corresponding structural damping ratio for the k th mode can be evaluated as

ω_{k} = (||, λ_{k}),

ξ_{k} = - \frac{μ_{k}}{|λ_{k}|} .

…”

Section: Effective Damping and Frequencies Of Mdof With Nsadsmentioning

confidence: 99%

See 1 more Smart Citation

Simplified optimal design of MDOF structures with negative stiffness amplifying dampers based on effective damping

Wang

Sun

Nagarajaiah

2019

Structural Design Tall Build

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“…To this aim, various authors have proposed many design procedures, often consisting of performance-based approaches. Special effort was also devoted to including the influence of the finite stiffness of the supporting braces on the overall response of both viscous and hysteretic dampers (Losanno et al, 2015(Losanno et al, , 2018(Losanno et al, , 2019. Kim and Choi (2004) proposed a methodology providing the required effective damping of BRBs at the target displacement.…”

Section: Introductionmentioning

confidence: 99%

DIBRAST: A Computer-Aided Seismic Design Procedure for Frame Structures Equipped With Hysteretic Devices

Nuzzo

Ciliento

Caterino

2020

Front. Built Environ.

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This paper describes a comprehensive computer-aided seismic design approach for both new and existing frame structures equipped with hysteretic dampers. Despite continuous advancements in the state of the art demonstrating the effectiveness of these devices in mitigating seismic hazard, non-linearities involved in the problem and the articulated nature of most of the available design procedures often make them quite difficult to be implemented for real complex structures. To promote widespread use of hysteretic dampers, we present a thorough design approach that includes the application of a specific displacement-based design procedure by means of a computeraided support tool developed in a Visual Basic environment and named DIBRAST. The software is realized to drive the designer through the dissipative system's design. Required iterations are automated, thus significantly reducing the processing time. As its final output, it delivers the mechanical properties of the damping braces in order to meet a specific performance objective. In order to further support practitioners in the geometrical characterization of actual design dampers, authors developed an additional Visual Basic tool-the Shear Link Non-Linear Model-that is able to provide yielding force and elastic stiffness of a specific type of hysteretic device according to its geometry and material. In addition, geometric details of each device can be preliminary determined by means of newly proposed design charts, presented herein, that allow us to take into account the buckling issue too. Both developed tools are freely available online. A case study is provided to demonstrate the effectiveness of the proposed design approach and tools.

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“…Damping is one of critical factors affecting a structure's responses under dynamic excitations. In practical engineering structures, damped systems are commonly characterized non-proportional damping, such as the soil-structure system [1][2][3], the steel-concrete structures [4][5][6], and structures with supplemental dampers [7,8]. Even though the dynamic response of a non-proportionally damped system can be solved by the direct integration method, the mode superposition method is frequently used.…”

Section: Introductionmentioning

confidence: 99%

A Modal Perturbation Method for Eigenvalue Problem of Non-Proportionally Damped System

Pan

Chen

et al. 2020

Applied Sciences

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The non-proportionally damped system is very common in practical engineering structures. The dynamic equations for these systems, in which the damping matrices are coupled, are very time consuming to solve. In this paper, a modal perturbation method is proposed, which only requires the first few lower real mode shapes of a corresponding undamped system to obtain the complex mode shapes of non-proportionally damped system. In this method, an equivalent proportionally damped system is constructed by taking the real mode shapes of a corresponding undamped system and then transforming the characteristic equation of state space into a set of nonlinear algebraic equations by using the vibration modes of an equivalent proportionally damped system. Two numerical examples are used to illustrate the validity and accuracy of the proposed modal perturbation method. The numerical results show that: (1) with the increase of vibration modes of the corresponding undamped system, the eigenvalues and eigenvectors monotonically converge to exact solutions; (2) the accuracy of the proposed method is significantly higher than the first-order perturbation method and proportional damping method. The calculation time of the proposed method is shorter than the state space method; (3) the method is particularly suitable for finding a few individual orders of frequency and mode of a system with highly non-proportional damping.

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Effective damping and frequencies of viscous damper braced structures considering the supports flexibility

Cited by 41 publications

References 20 publications

Simplified optimal design of MDOF structures with negative stiffness amplifying dampers based on effective damping

Simplified optimal design of MDOF structures with negative stiffness amplifying dampers based on effective damping

DIBRAST: A Computer-Aided Seismic Design Procedure for Frame Structures Equipped With Hysteretic Devices

A Modal Perturbation Method for Eigenvalue Problem of Non-Proportionally Damped System

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