Finite Element Modeling of “Rocking Walls”

Belleri, Andrea; Torquati, Mauro; Riva, Paolo

doi:10.7712/120113.4706.c1213

Cited by 15 publications

(24 citation statements)

References 17 publications

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“…Equation (20) can be used to estimate the quarter period, T/4, and the decay in rotation amplitude of the CRM after its n th impact. The resulting expressions for T/4 and θ n are presented in Equations (21) and (22), respectively, as follows:…”

Section: Closed-form Solutionmentioning

confidence: 99%

Dynamic response and impact energy loss in controlled rocking members

Kalliontzis

Sritharan

2019

Earthq Engng Struct Dyn

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Summary Unbonded posttensioning anchors a rocking structural member to its foundation and produces its controlled rocking response when the member undergoes seismic action. Unlike rocking of free‐standing bodies, little attention has been given to the dynamic behavior of these controlled rocking members. This paper utilizes experiments of concrete structural members with unbonded posttensioning, varying member geometries, and levels of initial posttensioning force to (a) characterize the associated impact energy loss and (b) improve modeling of controlled rocking motions. Experimental results show that impact energy loss in controlled rocking members can be captured accurately using the coefficient of restitution (r) approach of the modified simple rocking model (MSRM). Based on the MSRM, a controlled rocking model (CRM) is developed that additionally accounts for the variations in contact length at the member‐to‐foundation (rocking) interface. The CRM reproduces the experimental responses of controlled rocking members with good accuracy and is used to investigate controlled rocking motions under horizontal base excitations.

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Section: Closed-form Solutionmentioning

confidence: 99%

Dynamic response and impact energy loss in controlled rocking members

Kalliontzis

Sritharan

2019

Earthq Engng Struct Dyn

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“…However, few computational models exist for modeling the response of deformable rocking bodies (e.g. [9], [10], [11], [12], [13], [14], [15], [16], [17]). Most of these studies, though, consider the rocking base to be rigid, take into account the stress nonlinearity only across the rocking interface or make simplifications regarding the stress distribution near the contact area.…”

Section: Introductionmentioning

confidence: 99%

A New Computational Approach for the Rocking Response of Deformable Bodies Considering Material Nonlinearity

Avgenakis¹,

Psycharis²

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. An increasing interest in the use of rocking members in earthquake resistant structural systems has been observed in recent years. The benefits of such members include the limitation of the damage, re-centering capabilities and reduction of seismic forces transmitted to the rest of the structure due to a yield-like response.Despite the importance of such members, few models able to describe the response of flexible rocking members in structural systems realistically can be found in literature, since most of the research focuses on the response of rigid bodies or ignores the stress nonlinearity near the contact area, which is considered crucial to the accurate determination of the rocking response of deformable rocking bodies. A new macro-element formulation for elastic rocking members has been proposed by the authors in previous papers which is able to take into account this stress nonlinearity, producing results which are very close to the ones produced by conventional finite element programs.Rocking members in structural systems are expected to behave inelastically for large seismic excitations. In this paper, the macroelement presented previously by the authors, which considered the element material to be elastic, is extended to also take material nonlinearity into account. The effect of the nonlinear stress distribution across the rocking interface on the member displacements is determined and approximate formulas for their determination are included in the macro-element formulation. The results produced by the macro-element with the inelastic material are finally compared to the ones of conventional finite element codes, showing very good agreement between the results of the two methods.

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“…[17], [18], [19], [20], [21], [22], among others). Computational approaches taking into account the deformability of the base of rocking members include [23], [24], [25], [26], [27].…”

Section: Introductionmentioning

confidence: 99%

A Macro-Element Formulation for Rocking Flexible Bodies With a Deformable Base

Avgenakis¹,

Psycharis²

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. In recent years, an increased interest in the use of rocking members for the design of earthquake resistant structures is observed. As described in the literature, the use of rocking members leads to more resilient structural systems, since, in contrast to conventional members which develop damage and residual deformations, rocking members have the ability to re-center without significant damage, leading to increased structural safety and lower repair costs after a seismic event, while their yield-like response restrains the seismic forces acting on the structure.Although much research has been conducted on the response of rocking members, mainly regarding analytical solutions for free-standing rocking bodies with rigid bases and simplified guidelines for the design of structural rocking members, it is believed that there is a need for simple computational models, which can describe the response of rocking flexible members in structural systems more realistically.In this paper, a new approach that is able to take into account the deformation along the height of the body and along the contact areas, especially required for cases of constrained structural members, is applied for the development of a generalized macro-element, which can be used in the context of a finite element program. The theoretical formulation of the problem is based on the solution of the normalized semi-infinite strip problem with random loads on its free side. The new macro-element is demonstrated using typical example problems and the results are compared with corresponding results obtained with Abaqus, showing excellent agreement. Concerning the required runtimes, the macro-element runs significantly faster compared to conventional finite element codes. 5129

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Finite Element Modeling of “Rocking Walls”

Abstract: Abstract. Rocking walls represent an emerging solution for lateral force resisting systems in low to

Cited by 15 publications

References 17 publications

Dynamic response and impact energy loss in controlled rocking members

Dynamic response and impact energy loss in controlled rocking members

A New Computational Approach for the Rocking Response of Deformable Bodies Considering Material Nonlinearity

A Macro-Element Formulation for Rocking Flexible Bodies With a Deformable Base

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Finite Element Modeling of “Rocking Walls”

Abstract: Abstract. Rocking walls represent an emerging solution for lateral force resisting systems in low to

Cited by 15 publications

References 17 publications

Dynamic response and impact energy loss in controlled rocking members

Dynamic response and impact energy loss in controlled rocking members

A New Computational Approach for the Rocking Response of Deformable Bodies Considering Material Nonlinearity

A Macro-Element Formulation for Rocking Flexible Bodies With a Deformable Base

Contact Info

Product

Resources

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Finite Element Modeling of “Rocking Walls”