Approximate formulae for natural periods of plane steel frames

Chrysanthakopoulos, Christos; Bazeos, Nikitas; Beskos, D.E.

doi:10.1016/j.jcsr.2005.09.005

Cited by 11 publications

(6 citation statements)

References 9 publications

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“…In this way, the integrated design can be carried out by considering the undamped natural vibration period both fixed and as a design variable. The above-described variability may, for example, oscillate in a range whose ends can be represented by the values of the period relating, respectively, to unbraced and braced systems: there are several formulations in literature to estimate the period of a structural system with or without braces depending on the material (Tremblay 2005;Chrysanthakopoulos et al 2006;Jalali and Milani 2004;Crowley and Pinho 2009). It follows that the procedure is applicable both to the case of existing structural systems and new constructions.…”

Section: Integrated Design Approachmentioning

confidence: 99%

Integrated Design of Proportionally Damped Framed Structural Systems Equipped with Viscous Devices

Castaldo

2013

Springer Tracts in Mechanical Engineering

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This chapter deals with the integrated design of the elastic structural system and the viscoelastic dissipative bracing system to achieve an expected seismic design displacement. The variables that characterize the design problem, their domain and the steps of the proposed methodology are illustrated and commented in details by taking into account the concepts described in the previous chapters. A set of seven historical unscaled acceleration records is selected to develop dynamic analyses by testing the proposed integrated design methodology. With reference to an equivalent SDOF integrated system, a cost index, assumed as an optimized objective function and defined on the design variables, is described in order to find the optimal design in economic terms, or rather, the economically optimal combination of the design variables for each expected seismic target performance. Finally, the extension of the results, developed on the substitute structure, to a viscoelastically and proportionally damped MDOF framed integrated system is explained in order to design the least expensive regular system. Integrated Seismic Design PhilosophyOver the past years, structure and control systems have been independently designed and, in some cases, optimized. Over the last 30 years, a lot of research has been developed on the integrated optimal design of structural/control systems.Specifically, the idea is to consider both the viscoelastic resources of the bracingdamper system as well as the elastic ones of the structural system from the beginning of design in order to obtain an integrated design of elastic structural/viscoelastic control systems. In this sense, the main variables that characterize the dynamic response of both systems are investigated as variables to be simultaneously optimized within the same design, the so-called ''integrated design''

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Section: Integrated Design Approachmentioning

confidence: 99%

Integrated Design of Proportionally Damped Framed Structural Systems Equipped with Viscous Devices

Castaldo

2013

Springer Tracts in Mechanical Engineering

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“…Natural period estimation of wall-frame structures has been studied in the past [29,[32][33][34][35]. Theorems developed for wall frame structures can be coupled with the hand method developed in the previous section to calculate the natural period of steel plate shear wall systems with moment resisting frames.…”

Section: Natural Period Estimation Of Dual Systemsmentioning

confidence: 99%

Natural periods of steel plate shear wall systems

Topkaya

Kurban

2009

Journal of Constructional Steel Research

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“…Empirical expressions for the fundamental periods of idealized buildings have been proposed by Housner and Brady [8]. Furthermore, relative studies for moment-resisting RC and steel frame buildings have been investigated by Chopra and Goel [9], Goel and Chopra [10], Hong and Hwang [11], Tremblay [12], Chrysanthakopoulos et al [13], Guler et al [14], and Verderame et al [15]. Additionally, shear-wall dominant systems have been examined by Goel and Chopra [16], Lee et al [17], Balkaya and Kalkan [18], and Ghrib and Mamedov [19].…”

Section: Introductionmentioning

confidence: 99%

“…Measures of fundamental periods of buildings from their motions recorded during earthquakes have been provided by Chopra and Goel's studies [9,10,16]. Numerical methods such as 2-D or 3-D finite element models were used by Balkaya and Kalkan [18], Chrysanthakopoulos et al [13], and Crowley and Pinho [23]. (c) In relation to presence/absence of infill walls (bare frame or infilled frame).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of fundamental period of low‐rise and mid‐rise reinforced concrete buildings

Hatzigeorgiou

Kanapitsas

2013

Earthq Engng Struct Dyn

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SUMMARY Fundamental period of vibration appears to be one of the most critical parameter for the seismic design of buildings because this period strongly affects the magnitude of seismic forces. In this paper, an empirical formula for estimating the fundamental period of reinforced concrete structures is recommended, on the basis of the vibration analysis of 20 different real building configurations. These structures have already been constructed in Greece, and they are analyzed by using in detail 3‐D finite element models and modal eigenvalue analysis. These models take into account the presence of external and internal infill walls, which are usually ignored as nonstructural elements. This neglect leads to unreliable evaluation of period because the infill walls' contribution to the lateral stiffness and therefore to the fundamental period of vibration is also ignored. Furthermore, taking into account that the flexibility of soil elongates the fundamental period, the soil–structure interaction effect is also considered. To achieve a unique, simple, and effective empirical expression for the fundamental period of vibration, a comprehensive nonlinear regression analysis is applied for the datasets of buildings under consideration. This empirical expression is also compared with the similar expressions from the pertinent literature. Copyright © 2013 John Wiley & Sons, Ltd.

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Approximate formulae for natural periods of plane steel frames

Cited by 11 publications

References 9 publications

Integrated Design of Proportionally Damped Framed Structural Systems Equipped with Viscous Devices

Integrated Design of Proportionally Damped Framed Structural Systems Equipped with Viscous Devices

Natural periods of steel plate shear wall systems

Evaluation of fundamental period of low‐rise and mid‐rise reinforced concrete buildings

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