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2 Engineering Transactions

2 1999

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Mass minimization of dynamically loaded machine foundations using different subsoil models

100%

Sienkiewicz Z. , Wilczyński B.

tom Vol. 47, iss. 2

183-201

The effect of variation of the shear wave velocity profile of a layered soil a minimal mass of a rigid machine fountation under behaviour constraints on vibration and normal stress compact amplitudes and side constraints is numerically studied. The nonlinear programming problem has been solved by an iterative application of a sequential linear programming. The dynamic response of the machine foundation to unbalanced forces is evaluated including the dynamic soil-block interaction. The mixed-boundary value problem of elastodynamics was formulated as the system of Fredholm integral equations of the first kind with the Green's functions for a half-space as kernels and concact tractions as unknowns. The solution of the integral equations was accomplished numerically by a Boundary Element Method. In addition, the effect of embedment of the block into the soil was included by means of a local dynamic boundary used to simulate the backfill. Numerical results illustrate the sensitivity of the optimum design with respect to variations in problem preassigned parameters.

2-D and 3-D analysis of stochastic, elastic soil medium

75%

Przewłócki J. , Górski J.

tom Vol. 47, iss. 2

173-181

The paper presents a stochastic description of a three-dimensional soil medium and its modelling under strain conditions. The main aim of the paper of the paper is to work out a computational model enabling incorporation of three-dimensional variability of soil properties into the plane strain state analysis. It is assumed that the soil medium is statitically homogeneous and its mechanical behaviours is governed by the linear elasticity theory. It is also assumed that elastic parameters can be modelled as the multidimensional random fields. The strip foundation on a soil layer in the 3-D and the 2-D strain states is analysed. Stochastic 2-D and 3-D finite element methods, based on the Monte Carlo technique, were used. The analysis performed enables determination of the standard deviatios of components of the stress tensor and the displacement vector for the 3-D state, based on the solution for the 2-D plane strain state. Transfer functions between both states are determined.