Abstract
While interacting with the elements of the engineering structures, geosynthetics can be treated as elastic membranes or shells placed on different types of foundation. Modeling of the real system takes into account the most important properties of the system and its elements. We will develop a physical and mathematical model in a form of generalized dynamic system. The mathematical description will use different operators leading to a continuous distributed system. The modeling will be further modified by development of discrete dynamic systems, which is enabled by the theory of generalized dynamic systems. This approach allows for the analysis of the problem with continuous and discrete signals. The results will show the response of the analyzed systems with analytic, numerical or hybrid methods.
Publisher
Stowarzyszenie Inzynierow i Technikow Komunikacji RP
Reference21 articles.
1. [1] American Petroleum Institute. API 653. Tank inspection, repair, altrenation and reconstruction. Washington, 2005.
2. [2] Bittner R. Operational calculus in linear spaces. Studia Mathematica, 1961, 20(1), 1-18.
3. [3] Hall L. Simulations and analyses of train - induced ground vibrations. A comparative study of two- and three-dimensional calculations with actual measurements (Dissertation). Division of Soil & Rock Mechanics, Department of Civil & Environmental Engineering, Royal Institute of Technology, Stockholm, Sweden, April 2000.
4. [4] Hamdan M.N., Abuzeid O., Al-Salaymeh A. Assessment of an edge type settlement of above ground liquid storage tanks using a simple beam model. Applied Mathematical Modelling, 2007, 31(11), 2461-2474.
5. [5] Latha M.G., Murthy V.S. Effects of reinforcement form on the behavior of geosynthetic reinforced sand. Geotextiles and Geomembranes, 2007, 25(1), 23–32.