Abstract
This paper is devoted to a new approach—the dynamic response of Soil-Structure System (SSS), the far field of which is discretized by decay or mapped elastodynamic infinite elements, based on scaling modified Bessel shape functions are to be calculated. These elements are appropriate for Soil-Structure Interaction problems, solved in time or frequency domain and can be treated as a new form of the recently proposed elastodynamic infinite elements with united shape functions (EIEUSF) infinite elements. Here the time domain form of the equations of motion is demonstrated and used in the numerical example. In the paper only the formulation of 2D horizontal type infinite elements (HIE) is used, but by similar techniques 2D vertical (VIE) and 2D corner (CIE) infinite elements can also be added. Continuity along the artificial boundary (the line between finite and infinite elements) is discussed as well and the application of the proposed elastodynamical infinite elements in the Finite element method is explained in brief. A numerical example shows the computational efficiency and accuracy of the proposed infinite elements, based on scaling Bessel shape functions.
Highlights
Infinite elements are widely used in the numerical simulations of engineering problems if unbounded domain exists
This paper is devoted to a new approach—the dynamic response of Soil-Structure System (SSS), the far field of which is discretized by decay or mapped elastodynamic infinite elements, based on scaling modified Bessel shape functions are to be calculated
0.2278 max displacement [m] 0.611 model 2 1.5584 0.7395 0.5377 0.1985 0.572 model 3 1.5614 0.7455 0.5455 0.2219 0.585 model 4 1.5615 0.7458 0.5459 0.2239 0.586 of motion of the entire Soil-Structure Interaction (SSI) system are presented. This element is a new form of the infinite element, given in [6,21]
Summary
Infinite elements are widely used in the numerical simulations of engineering problems if unbounded domain exists. The infinite elements can be integrated in the Finite element method codes [10,11,12] adequately, and dynamic SSI simulations can be obtained. The infinite elements as a computational technology are widely used due to the fact that their concepts and formulations are much closed to those of the finite elements. These elements are very effective for models of structures containing a near field discretized by finite elements and a far field discretized by infinite elements. In the last two decades a lot of dynamic infinite elements were developed, [18,19,20,21,22]
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