Model reduction of shear building models: A quantitative approach for master degrees of freedom selection

García-Illescas, Miguel Ángel; Álvarez-Icaza, Luis

doi:10.1016/j.engstruct.2018.11.019

Cited by 3 publications

(3 citation statements)

References 18 publications

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“…Although the structure can suffer displacements without collapse, excessive vibrations become a problem when the service situations of the building are verified. The low damping of high-strength materials and the use of precast structures, in which the connections are fully hinged or partially clamped, can justify this behavior [3].…”

Section: Introductionmentioning

confidence: 99%

H∞ hybrid control and MRD in a steel frame building subjected to excessive vibrations caused by the dynamic action of wind and earthquake

De Gois Silva,

Chavarette

2024

J. Appl. Math.

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The dynamic loads from earthquakes and winds can destroy lives, cause collapse in civil structures, and interrupt basic services provided to the population. In this scenario, structural designs must be developed to decrease the damage induced by these actions. The objective of this work is to design a hybrid controller based on the H¥ optimization via state feedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations of a three-story steel frame building, represented through the shear building model, subjected to the simultaneous dynamic action of wind and earthquake. All research is based on computational simulation, experimental research and results will not be addressed. In the numerical analysis, digital computer and MATLAB® software are used, and implemented codes generate the expected results based on the mathematical modeling. With the application of the H¥ control technique via state feedback, the displacements were reduced by 77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was 100%. Thus, the verifications in relation to maximum displacements were met for NBR 15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that the hybrid controller proved to be more efficient and achieved the proposed objective. The exogenous inputs had zero influence on the behavior of the system output.

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Section: Introductionmentioning

confidence: 99%

H∞ hybrid control and MRD in a steel frame building subjected to excessive vibrations caused by the dynamic action of wind and earthquake

De Gois Silva,

Chavarette

2024

J. Appl. Math.

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“…Research on DOF-based ROM is relatively less active than those on mode-based ROM due to the convenience of constructing ROBs in generalized coordinates. However, because the physical DOF of the ROM can be synchronized with the actual sensor location directly, DOFbased ROM can be a powerful tool, particularly when we consider data acquisition-based modeling and simulations [15], system identification based on sensor data [16], model updating techniques and experiments [17], and so on. Meanwhile, for transformation between reduced variables in modal coordinates and those in physical coordinates, the SEREP method [18] can be applied by dividing ROM into parts of master and slave DOF with pseudo-inverse of the partitioned ROB.…”

Section: Introductionmentioning

confidence: 99%

“…Sampling ranges were adaptively refined considering the difference between two adjacent ROMs. Previously, dynamic condensation considering the dependency of the ROB on the frequency and its variants has been introduced in the literature [13,15]. However, performing an inversion of a dynamic stiffness matrix corresponding to parts of the slave DOF at every frequency is neither efficient nor appropriate.…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Frequency Sampling Algorithm for Dynamic Condensation-Based Frequency Response Analysis

et al. 2023

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This paper proposed an efficient and adaptive frequency sampling algorithm for frequency response analysis using dynamic condensation-based reduced-order modeling. For the degree of freedom-based model reduction method, the reduced-order basis becomes a frequency-dependent matrix since the relationship between master and slave degrees of freedom stems from partial equations of a second-order dynamical system. Such frequency-dependency makes the analysis inefficient for investigating the frequency response of the system. Considering that the coverage of a local reduced-order basis at a single frequency varies depending on the frequency, a new frequency sampling algorithm was proposed with a strategy of constructing multiple local reduced-order models (ROMs) at sample frequencies. For adaptive sampling, the frequency range of a local ROM was evaluated, and a new sample was added if there was a gap between two adjacent ROMs. As a result, the accuracy of the local ROM can be estimated, and the efficiency in the online stage was greatly enhanced. The proposed method was verified by performing frequency response analysis with several numerical examples, including a large-scale structural and dynamic system.

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Improvement to dynamic condensation of structural systems using an innovative virtual model reduction

Tabar

2024

Structures

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Model reduction of shear building models: A quantitative approach for master degrees of freedom selection

Cited by 3 publications

References 18 publications

H∞ hybrid control and MRD in a steel frame building subjected to excessive vibrations caused by the dynamic action of wind and earthquake

H∞ hybrid control and MRD in a steel frame building subjected to excessive vibrations caused by the dynamic action of wind and earthquake

An Adaptive Frequency Sampling Algorithm for Dynamic Condensation-Based Frequency Response Analysis

Improvement to dynamic condensation of structural systems using an innovative virtual model reduction

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