Vibration Analysis and Design of a Monumental Stair

Setareh, Mehdi

doi:10.1007/978-3-319-00771-7_56

Cited by 4 publications

(9 citation statements)

References 12 publications

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“…It must be emphasised that the accelerations shown in Fig. 7, obtained by all methods, were not affected by any adjustment factor, as proposed by various researchers [30,31,37,44,45], since it was intended to compare the predicted results of the four numerical methods on the same basis, taking into account only their fundamental theory. The different values of adjustment factors proposed in the literature are discussed and presented in Part 2 of this paper.…”

Section: Numerical Resultsmentioning

confidence: 99%

Numerical methods to predict human induced vibrations on low frequency stairs. Part 1: Literature review, modelling

Andrade¹,

Santos

Maia

2021

Structures

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Section: Numerical Resultsmentioning

confidence: 99%

Numerical methods to predict human induced vibrations on low frequency stairs. Part 1: Literature review, modelling

Andrade¹,

Santos

Maia

2021

Structures

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“…Other researchers, such as Eid et al [5] and Setareh [6], only estimated vibrations on stairs numerically. Eid et al [5] conducted a dynamic analysis on a numerical model of a steel staircase, taking into account only the information provided by the design guides SCI P354 [7] and AISC 11 [8].…”

Section: Introductionmentioning

confidence: 99%

Numerical methods to predict human induced vibrations on low frequency stairs. Part 2: Evaluation by comparing with experimental data

Andrade¹,

Santos

Escórcio

2021

Structures

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“…Huntington and Mooney [10] presented a case study carried out on a monumental steel staircase with a span of 12 m. They found that using numerical models and expressions indicated by AISC 11 [11] led to overestimation of the results. Some authors such as Eid et al [12] and Setareh [13] only evaluated vibrations on stairs numerically.…”

Section: Introductionmentioning

confidence: 99%

“…Setareh [13] presented a dynamic analysis performed on the design of a monumental metal staircase. The author calculated that between Fourier Series and Steady State analysis an adjustment factor of 0.84 was required.…”

Section: Introductionmentioning

confidence: 99%

“…The author calculated that between Fourier Series and Steady State analysis an adjustment factor of 0.84 was required. This, according to Setareh [13], means that the adjustment factor of 0.35 recommended by Davis et al [8] may be unconservative, although, it should be mentioned that this factor was obtained based only on numerical analysis and not on experimental tests.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pre-design of laterally supported stair steps

Santos

Andrade

Escórcio

2019

Engineering Structures

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It is becoming increasingly common to design monumental staircases and their steps with elevated stiffness and low mass, obtaining high natural frequencies, off the range of frequencies that are excitable by pedestrians. However, this sometimes leads to unacceptable levels of vibration, with impulsive responses. In many cases the dynamic behaviour of steps is almost independent from the rest of the staircase, causing a phenomenon designated as local vibrations, which could be much more severe than the global vibrations of the staircase.In order to avoid this problem, this paper presents a simplified expression to pre-design stair steps which guarantee that excessive vibrations will not occur, without the need to perform a dynamic analysis. The expression was deduced based on the results of an experimental campaign, several numerical analyses and a theoretical analysis. During this study it was necessary to define an acceptable limit of vibrations specific for this type of vibration, which affects mainly the feet of pedestrians. The expression deduced is easy to apply because it depends only of vertical stiffness of the step. Finally, the pre-design expression is also applied to the staircase used in the experimental campaign, and it was concluded that it would be easy to avoid excessive vibrations, with a negligible cost increase.

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Vibration Analysis and Design of a Monumental Stair

Cited by 4 publications

References 12 publications

Numerical methods to predict human induced vibrations on low frequency stairs. Part 1: Literature review, modelling

Numerical methods to predict human induced vibrations on low frequency stairs. Part 1: Literature review, modelling

Numerical methods to predict human induced vibrations on low frequency stairs. Part 2: Evaluation by comparing with experimental data

Pre-design of laterally supported stair steps

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