Abstract
This paper proposes a methodology to obtain the transient response of structural system interacting with soil-foundation schemes supported by viscoelastic soils. The structure and soil are divided into sub-systems. The time domain solution for each subsystem is formulated by an appropriated methodology. The equations of motion of structure are solved by Newmark integration algorithm. The transient response of the soil is obtained by a convolution integral. The convolution integral uses transient impulse response of viscoelastic soils. Newmark and convolution algorithms are formulated as input and output schemes, which, in turn, are plugged to the time stepping iterative algorithm. The scheme is applied to vertical response of a dynamical system interacting with a massless foundation laying on a soil modelled as a three-dimensional homogeneous viscoelastic half-space. For two distinct external forces, the resulting coupled displacements, interface forces, errors and number of iterations within each time step are provided.
Highlights
The dynamic analysis of complex systems with parts presenting distinct properties constitutes an immense challenge to the scientific and professional community
A very efficient methodology to describe Dynamic soil-structure interaction problems (DSSI) problems is the coupling of the Finite Element Method (FEM) with the Boundary Element Method (BEM)
These initial results tend to indicate that the proposed transient iterative coupling procedure has the potential to obtain transient responses of more complex structural and foundation systems interacting with many soil profiles or soil-supported foundation schemes
Summary
The dynamic analysis of complex systems with parts presenting distinct properties constitutes an immense challenge to the scientific and professional community. A non-singular transient influence functions for semi-unbounded domains based on viscoelastic frequency domain solutions and the application of the FFT algorithm was synthesized by Mesquita et al (2012) These solutions, which do not present singularities at the loading point (Barros and Mesquita, 1999) and require no integration regularization procedures (Dangla et al, 2005), were able to render accurate wave propagation phenomena for general linear viscoelastic models. A previously synthesized time domain solution for rigid foundation interacting with a linear viscoelastic unbounded domain is incorporated into a discretized convolution integral, which in turn, can, for every time step of the iterative procedure, deliver Newman or Dirichlet values of the variables at the domains interface. To the best of the authors’ knowledge, iterative time domain coupling of unbounded viscoelastic domains with structures has not been reported in the literature
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