Closed-form equations for coupling linear structures using stiffness and damping elements

Richardson, Andy; Walsh, Kenneth K.; Abdullah, Makola M.

doi:10.1002/stc.490

Cited by 37 publications

(22 citation statements)

References 25 publications

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“…Over the last years, a significant research effort has been made in this field. Recent works on the seismic response of adjacent structures include nonlinear dynamical models for pounding events [2][3][4][5], stochastic assessment of pounding risk [6], structural analysis of large buildings connected by sky-bridge links [7], seismic response of adjacent nonstructural components [8], and reduced-order models for the study of the analytical characteristics of linked structures [9][10][11][12]. Also, a wide variety of control strategies has been recently proposed, including passive linking systems with viscous and viscoelastic elements [13][14][15][16][17][18], nonlinear linking dampers [19,20], semiactive magnetorheological linking dampers [21][22][23], shared Tuned-Mass-Dampers [24][25][26], and active linking devices [27,28].…”

Section: Introductionmentioning

confidence: 99%

Integrated Design of Hybrid Interstory-Interbuilding Multi-Actuation Schemes for Vibration Control of Adjacent Buildings under Seismic Excitations

et al. 2017

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Abstract:The design of vibration control systems for the seismic protection of closely adjacent buildings is a complex and challenging problem. In this paper, we consider distributed multi-actuation schemes that combine interbuilding linking elements and interstory actuation devices. Using an advanced static output-feedback H ∞ approach, active and passive vibration control systems are designed for a multi-story two-building structure equipped with a selected set of linked and unlinked actuation schemes. To validate the effectiveness of the obtained controllers, the corresponding frequency responses are investigated and a proper set of numerical simulations is conducted using the full scale North-South El Centro 1940 seismic record as ground acceleration disturbance. The observed results indicate that using combined interstory-interbuilding multi-actuation schemes is an effective means of mitigating the vibrational response of the individual buildings and, simultaneously, reducing the risk of interbuilding pounding. These results also point out that passive control systems with high-performance characteristics can be designed using damping elements.

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Section: Introductionmentioning

confidence: 99%

Integrated Design of Hybrid Interstory-Interbuilding Multi-Actuation Schemes for Vibration Control of Adjacent Buildings under Seismic Excitations

et al. 2017

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“…The isolation bearings are installed between the sky corridor and top of the towers. According to Richardson et al the adjacent towers can be simplified as an SDOF structure, which is characterized by mass m i , stiffness k i , and damping c i . The natural frequency and viscous damping ratios of the towers are

ω_{i} = \sqrt{\frac{k_{i}}{m_{i}}}

and

ξ_{i} = \frac{c_{i}}{2 \sqrt{k_{i} m_{i}}}

, respectively.…”

Section: Simplified Analysis Modelmentioning

confidence: 99%

Mechanism and optimum design of shared tuned mass damper for twin‐tower structures connected at the top by an isolated corridor

Lyu

Liu

Wang

et al. 2020

Structural Design Tall Build

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Summary The concept of shared tuned mass damper (STMD) for twin towers linked by a sky corridor using flexible joints is proposed in this paper. The analytical expressions of the transform functions and random earthquake responses of the flexibly connected structures are derived using a three‐degrees‐of‐freedom model system. The seismic reduction mechanism of the STMD is revealed using comparative analysis between the structures with STMD and those connected using a viscoelastic damper. The effect of the nondimensional parameters such as the frequency ratio of the two primary structures, mass ratio, tuning frequency ratio of the corridor, and damping ratio of the passive control devices on the structural seismic response is investigated. Optimum parametric analysis is performed using the principle of minimizing the displacements of both towers, and the optimal parameter formulas are established. Numerical analysis is conducted to verify the control effectiveness of the connected multi‐degree‐of‐freedom system subjected to the El Centro earthquake ground motion. The results show that the earthquake responses of the towers can be effectively reduced if the parameters of the flexible connecting elements are appropriately selected for a certain corridor mass. Moreover, a remarkable seismic reduction effect can be achieved if the towers have similar dynamic properties.

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“…Many experimental and analytical studies have proven that the introduction of damping devices between adjacent buildings provides an efficient mean for improving the seismic performance of the two systems. The behavior of adjacent structures linked by rigid, active, or passive control devices (Soong and Spencer, 2002;Christopoulos and Filiatrault, 2006;Takewaki, 2009) has been object of study of many papers in the last decades Ni et al, 2001;Kim et al, 2006;Cimellaro and Lopez-Garcia, 2007;Roh et al, 2011;Richardson and Walsh, 2012;Tubaldi et al, 2014;Tubaldi, 2015). These studies have shown that the interaction between two systems with different dynamic properties through the connecting devices allows to reduce the structural seismic responses in terms of displacements and accelerations with respect to the unconnected case.…”

Section: Introductionmentioning

confidence: 99%

A Design Method for Viscous Dampers Connecting Adjacent Structures

Tubaldi

Gioiella

Scozzese

et al. 2020

Front. Built Environ.

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This paper investigates the seismic design of fluid viscous dampers connecting adjacent structural systems. A simplified dampers design strategy is proposed, which relies on a linearized reduced order model of the coupled system. A stochastic linearization technique is adopted with the aim of extending the design method to non-linear viscous dampers. The effectiveness of the design method and of the coupling strategy are assessed via numerical analysis of two adjacent buildings with shear-type behavior connected by linear or non-linear viscous dampers and subjected to Gaussian stochastic base acceleration. Different dampers locations are analyzed. The accuracy of the reduced order model is assessed, by comparing the relevant response statistics to those provided by a refined multi degree of freedoms model. Finally, a parametric study is performed to assess the effectiveness of dissipative connection for different values of seismic intensity and dampers parameters (i.e., viscous coefficients and velocity exponents).The equation of motion of two adjacent MDOF systems, A and B, coupled by viscous dampers (Figure 1), is:Frontiers in Built Environment | www.frontiersin.org

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Closed-form equations for coupling linear structures using stiffness and damping elements

Cited by 37 publications

References 25 publications

Integrated Design of Hybrid Interstory-Interbuilding Multi-Actuation Schemes for Vibration Control of Adjacent Buildings under Seismic Excitations

Integrated Design of Hybrid Interstory-Interbuilding Multi-Actuation Schemes for Vibration Control of Adjacent Buildings under Seismic Excitations

Mechanism and optimum design of shared tuned mass damper for twin‐tower structures connected at the top by an isolated corridor

A Design Method for Viscous Dampers Connecting Adjacent Structures

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