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Seismic response of rectangular liquid retaining structures resting on ground considering coupled soil-structure interaction

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Abstract

Seismic response of water tanks resting on ground has been a topic of considerable research in academics as well as energy and infrastructure industry. In many cases, it remains essential that they remain functional even after a major ground shaking. State of the art adapted in different national and international code usually recommends a simplified mathematical model that in many cases digresses from field reality. A three dimensional analysis of the tank plus fluid and foundation soil is surely possible based on finite element analysis. However, in most cases, such exhaustive analysis is done away with, often due to lack of supportive software to tackle such problem, but more out of economic and schedule compulsion, where in many cases engineers do not have the luxury to carry out such expensive analysis, to remain competitive in the market. Thus, a search for a better and more realistic model than what is in vogue is still in quest for this particular problem. Present paper attempts to present a mathematical model based on Lagrange's formulation and adapting Galerkin's technique that circumvents many of the problems as cited above.

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Author information

Authors and Affiliations

  1. Indian Institute of Engineering Science & Technology, Shibpur, Howrah, India

    Indrajit Chowdhury

  2. Institution of Civil Engineers, London, UK

    Ronkoyel Tarafdar

  3. Department of Civil Engineering, Indian Institute of Engineering Science & Technology, Shibpur, Howrah, India

    Ambarish Ghosh

  4. Department of Civil Engineering, Indian Institute Technology, Kharagpur, West Bengal, India

    Sambhu. P. Dasgupta

Authors
  1. Indrajit Chowdhury
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  2. Ronkoyel Tarafdar
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  3. Ambarish Ghosh
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  4. Sambhu. P. Dasgupta
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Corresponding author

Correspondence to Sambhu. P. Dasgupta.

Appendix

Appendix

See Tables 20, 21.

Table 20 Design parameters of dynamic analysis of rectangular tanks Housner (1963)
Full size table
Table 21 Stiffness and Damping of Sloshing Fluid Housner (1963)
Full size table

In Tables 20 and 21, L = Half width of the wall; hf = Height of fluid in tank and can considered equal to height of tank H as the free board is usually small. W = Total weight of fluid in tank. Wi = Weight of impulsive fluid. Wsl = Weight of sloshing fluid hi, hsl = Height at which impulsive and sloshing fluid acts.

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Chowdhury, I., Tarafdar, R., Ghosh, A. et al. Seismic response of rectangular liquid retaining structures resting on ground considering coupled soil-structure interaction. Bull Earthquake Eng 15, 3695–3726 (2017). https://doi.org/10.1007/s10518-017-0097-7

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  • DOI: https://doi.org/10.1007/s10518-017-0097-7

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