Nonlinear Static Analysis of Structures with Rocking Columns

Roh, Hwasung; Reinhorn, A. M.

doi:10.1061/(asce)st.1943-541x.0000154

Cited by 60 publications

(31 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The evaluation of these response quantities shall be conducted in association with the equivalent response quantities from vertically post-tensioned hybrid frames (Wacker et al [31], Pang et al [32], Cheng [35]) and seismically isolated decks (Constantinou et al [36], Makris and Zhang [37], Buckle et al [38] among others) after considering the effects of the end-conditions of the deck at the abutments. This comparison/evaluation is the subject of an ongoing study which also examines other practical issues such as the effect of the crushing of the pivoting points of the columns (Roh and Reinhorn [39], [40]) and the accommodation of the deck uplift at the end-abutments.…”

Section: Rocking Isolation Of Bridges -Proof Of Conceptmentioning

confidence: 99%

Rocking Response and Stability Analysis of an Array of Free-Standing Columns Capped With a Free-Standing Rigid Beam

Makris¹,

Vassiliou²

2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

View full text Add to dashboard Cite

Abstract. This paper investigates the planar rocking response of an array of free-standing columns capped with a freely supported rigid beam in an effort INTRODUCTIONUnder base shaking slender objects and tall rigid structures may enter into rocking motion that occasionally results in overturning. Early studies on the seismic response of a slender rigid block were presented by Milne [1]; however, it was Housner [2] who uncovered a sizefrequency scale effect which explained why: (a) the larger of two geometrically similar blocks can survive the excitation that will topple the smaller block; and (b) out of two same acceleration amplitude pulses, the one with the longer duration is more capable to induce overturning. Following Housner's seminal paper a number of studies have been presented to address the complex dynamics of one of the simplest man-made structures-the free standing rigid column.Yim et al. [3] conducted numerical studies by adopting a probabilistic approach, Aslam et al. [4] confirmed with experimental studies that the rocking response of rigid blocks is sensitive to system parameters; while Psycharis and Jennings [5] examined the uplift of rigid bodies supported on viscoelastic foundation. Subsequent studies by Spanos and Koh [6] investigated the rocking response due to harmonic steady-state loading and identified "safe" and "unsafe" regions together with the fundamental and suharmonic modes of the system. Their study was extended by Hogan [7], [8] who further elucidated the mathematical structure of the problem by introducing the concepts of orbital stability and Poincare sections. The transient rocking response of free-standing rigid blocks was examined in depth by Zhang and Makris [9] who showed that there exist two modes of overturning: (a) by exhibiting one or more impacts; and (b) without exhibiting any impact. The existence of the second mode of overturning results in a safe region that is located on the acceleration-frequency plane above the minimum overturning acceleration spectrum. The fundamental differences between the response of a rocking rigid column (inverted pendulum) and the response of the linear elastic oscillator (regular pendulum) led to the development of the rocking spectrum (Makris and Konstantinidis In this paper we investigate the planar rocking response of an array of free-standing columns capped with a freely supported rigid beam as shown schematically in Figure 1. Herein we use the term "rocking frame" for the one degree of freedom structure shown in Figure 1. Sliding does not occur either at the pivot points at the base or at the pivot points at the capbeam. Our interest to this problem was partly motivated from the need to explain the remarkable seismic stability of ancient free-standing columns which support heavy free standing epistyles together with the even heavier frieze atop. As an example, Figure 2 shows the entrance view of the late archaic temple of Aphaia in the island of Aegina nearby Athens, Greece. Dates ranging from 510BC to 470BC have been proposed fo...

show abstract

Section: Rocking Isolation Of Bridges -Proof Of Conceptmentioning

confidence: 99%

Rocking Response and Stability Analysis of an Array of Free-Standing Columns Capped With a Free-Standing Rigid Beam

Makris¹,

Vassiliou²

2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…Roh used the "rocking columns," a type of double hinged gravity column or cracked base and top column which resists vertical loads with minimum or no lateral strength, to reduce the strength of the part of the lateral load resisting system (i.e., weaken the structure) for controlling the story accelerations [92]. Roh and Reinhorn firstly proposed a macroscopic analytical approach applicable for analysis of rocking column [93]. The proposed model is verified through the quasi-static cyclic of 1 : 3 scale rocking column and the IDARC2D computational model [94].…”

Section: Rocking Concrete Framementioning

confidence: 99%

High Performance Damage‐Resistant Seismic Resistant Structural Systems for Sustainable and Resilient City: A Review

Wang

Hua

2018

Shock and Vibration

View full text Add to dashboard Cite

This paper presents a review of high performance damage-resistant seismic resistant structural (DRSRS) systems for the sustainable and resilient city. Firstly, the motivation and the basic principle as well as methodology of the developing DRSRS system are briefly illustrated. Then, the structural detailing and the seismic behaviors of three types of existing DRSRS systems, namely, the replaceable structural element (RSE), rocking seismic resisting structural (RSRS) system, and self-centering seismic resisting structural (SCSRS) system, are summarized in detail. The theoretical and extensive experimental study results indicated that the three existing types of DRSRS system can minimize the postdamage after loading. Types of energy dissipation devices and dampers, as well as fuse sections, can largely enhance the energy dissipation capacity of the proposed structural system. Many numerical and finite element models have been proposed to analyze the dynamic and static cyclic responses of them. The residual deformation after the dynamic response is smaller compared to that following the cyclic response. Then, the current research challenges of DRSRS system are illustrated, and the new research highlights that emerged in recent years are stated. Finally, the conclusions of this paper are summarized; furthermore, the recommendations for the future studies are pointed out at the end of the paper.

show abstract

Nonlinear Static Analysis of Structures with Rocking Columns

Cited by 60 publications

References 13 publications

Rocking Response and Stability Analysis of an Array of Free-Standing Columns Capped With a Free-Standing Rigid Beam

Rocking Response and Stability Analysis of an Array of Free-Standing Columns Capped With a Free-Standing Rigid Beam

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

High Performance Damage‐Resistant Seismic Resistant Structural Systems for Sustainable and Resilient City: A Review

Contact Info

Product

Resources

About