Modal decomposition method for stationary response of non‐classically damped systems

Igusa, Takeru; Kiureghian, Armen Der; Sackman, Jerome L.

doi:10.1002/eqe.4290120109

Cited by 135 publications

(53 citation statements)

References 5 publications

(1 reference statement)

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“…The mean peak story drifts of the building with T-EIMDs subjected to the given design displacement spectrum S D (ω; h) can be evaluated by the expanded CQC method (Igusa et al, 1984;Yang et al, 1990) by…”

Section: Modal Analysis Of Structures With T-eimdsmentioning

confidence: 99%

“…The developed method utilizes the expanded complete quadratic combination (CQC) method, which is a modal analysis method based on the complex eigenvalue analysis of a structure with nonproportional damping (Igusa et al, 1984;Yang et al, 1990). It is found that the proposed procedure can find the necessary storywise distribution of the T-EIMDs' inertial masses in a multistory building.…”

Section: Introductionmentioning

confidence: 99%

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Performance-Based Placement Design of Tuned Electromagnetic Inertial Mass Dampers

Nakamura

Hanzawa

2017

Front. Built Environ.

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This paper presents a performance-based placement design method for the control of the earthquake responses of a multistory building using tuned electromagnetic inertial mass dampers (T-EIMDs). The T-EIMD consists of a ball screw mechanism, a gear, a flywheel, and an electric generator installed in a cylinder, and a spring element connected in series. The ball screw mechanism converts the axial oscillation of the rod end into the rotational motion of the internal flywheel and generates a large inertial force. The electric generator is turned by the rotation of the inner rod and generates a variable damping force that is controlled by the terminal resistance. The T-EIMDs are installed between adjacent floors of a building with steel chevron braces and function as large tuned mass dampers within the stories. The spring element has the function of tuning the natural period of the T-EIMD to the fundamental natural period of the building. In the present work, a design procedure for the story-wise placement of T-EIMDs is proposed to limit the peak story drift angles to a specified target value. The proposed procedure utilizes the expanded complete quadratic combination method that involves modal analysis with complex eigenvalue analysis and is able to determine the necessary story-wise distribution of inertial masses of the T-EIMDs in a building. Time history earthquake response analyses are carried out for multistory building models set up with the necessary number of T-EIMD units, and the results establish the effectiveness and the adequacy of the proposed performance-based placement design procedure.

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Section: Modal Analysis Of Structures With T-eimdsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Performance-Based Placement Design of Tuned Electromagnetic Inertial Mass Dampers

Nakamura

Hanzawa

2017

Front. Built Environ.

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“…Igusa et al [10] provide the cross-spectral moments λ l,mn for response to the white-noise input G 0 . Introducing the modal correlation coefficients …”

Section: Response Prediction Formula Considering Overdamped Modesmentioning

confidence: 99%

“…The derived formula is extended from a response spectrum method for a non-classically damped system proposed by Igusa et al [10] and Zhou et al [11] considering overdamped modes, and is expressed in a simpler and more uniform form than that proposed by Song et al [12]. The estimation accuracy is then examined by comparing the results of a time-history analysis using a mid-storey-isolated building model.…”

Section: Introductionmentioning

confidence: 99%

Optimal stiffness distribution of mid-storeyisolated buildings considering storey drift and floor acceleration response

Kohiyama¹,

Takano²

2013

WIT Transactions on the Built Environment

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This paper formulates a response prediction formula based on complex modal superposition and frequency response functions of single-degree-of-freedom systems for both storey drift and floor acceleration of a mid-storey-isolated building under the assumption of white noise input. This study verifies that the proposed formula can estimate the seismic response of a building accurately, even if a system includes the overdamped mode, by comparing the same with the results of a time-history analysis. To support the structural design of a midstorey-isolated building, the proposed formula is applied to an optimal design problem, which considers the objective function of acceleration response in a superstructure and constraints on storey drifts. A genetic algorithm is employed to obtain the optimal stiffness distribution and damping coefficient of the isolation layer. This study confirms that the acceleration response of the optimal design is successfully reduced, with other responses remaining within acceptable ranges.

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“…The constraints are mostly imposed on the interstory drifts of a structure subjected to a specified earthquake input, since the interstory drifts can be regarded as the most important seismic design index. The mean peak interstory drifts of the building installed with dampers subjected to the specified design displacement response spectrum can be estimated using the expanded complete quadratic combination (CQC) method, which entails modal analysis with complex eigenvalue analysis (Igusa et al, 1984;Yang et al, 1990).…”

Section: Introductionmentioning

confidence: 99%

Performance-Based Placement of Manufactured Viscoelastic Dampers for Design Response Spectrum

Nakamura

Hanzawa

Nomura

et al. 2016

Front. Built Environ.

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In this study, a viscoelastic damper (VED) is developed by using a VE material with low temperature dependence, and a performance-based placement-design procedure of VEDs is developed for finding the story-wise distribution of VEDs in a building such that each peak interstory drift coincides with the prescribed value. The mechanical properties of the employed VEDs dependence on amplitude and frequency of the excitation as well as material temperature are taken into account and a mechanical non-linear four-element model that comprises two dashpot elements and two spring elements is proposed for the VED. The developed performance-based design procedure utilizes equivalent linearization of the VED and the expanded complete quadratic combination method, which involves modal analysis with complex eigenvalue analysis. An equivalent linear Voigt model of the VED is determined by the prescribed peak interstory drift and the fundamental natural period of the structure for which the VEDs are installed. Seismic response analyses are carried out for high-rise building models installed with the necessary number of walltype VEDs, with the results demonstrating the effectiveness and validity of the proposed performance-based placement-design procedure.

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Modal decomposition method for stationary response of non‐classically damped systems

Cited by 135 publications

References 5 publications

Performance-Based Placement Design of Tuned Electromagnetic Inertial Mass Dampers

Performance-Based Placement Design of Tuned Electromagnetic Inertial Mass Dampers

Optimal stiffness distribution of mid-storeyisolated buildings considering storey drift and floor acceleration response

Performance-Based Placement of Manufactured Viscoelastic Dampers for Design Response Spectrum

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