This dissertation presents the analytical and numerical investigation of the response of a slab-supported liquid storage tank taking into account soil-structure interaction and nonlinear uplift effect. The dissertation consists of two parts. In the first part, a generalized approach based on the variational principle is developed to analyze the dynamic response of liquid storage tanks taking into account soil-structure interaction. Two types of tank movements are studied: (i) a liquid storage tank on a deformable soil undergoing lateral and rocking motion; (ii) a liquid storage tank on a deformable soil subjected to a vertical excitation. Also in this part of the analysis, governing equations for the liquid sloshing motion in a flexible tank are derived in a concise form. Examples with various properties are presented for the two types of tank movements to illustrate the significant effects of soil-structure interaction. Comprehensive numerical data are also presented which may be used readily in design applications. The second part studies the nonlinear uplift behavior of a liquid storage tank from its rigid supporting slab under static loadings. In this part of the study, the nonlinear large deflexion plate theory is used to model the tank bottom plate while, for simplicity, the linear shell theory is used for describing the tank shell. To describe the uplift behavior of the bottom plate, a set of nonlinear differential equations and the corresponding boundary conditions for the plate are derived using the variational principle. According to the interface conditions between the tank shell and the bottom plate, a complete nonlinear boundary value problem is defined for the uplifting tank system. An approximate solution procedure based on the Ritz method is developed for such an uplifting tank system. An example is also provided to show the tank performance during its uplifting.
| Identifer | oai:union.ndltd.org:UMASS/oai:scholarworks.umass.edu:dissertations-7784 |
| Date | 01 January 1990 |
| Creators | Ma, Lun |
| Publisher | ScholarWorks@UMass Amherst |
| Source Sets | University of Massachusetts, Amherst |
| Language | English |
| Detected Language | English |
| Type | text |
| Source | Doctoral Dissertations Available from Proquest |
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