Rotor platforms on pile-groups running through resonance: A comparison between unbounded soil and soil-layers resting on a rigid bedrock

Cazzani, Antonio; Rüge, P.

doi:10.1016/j.soildyn.2013.02.022

Cited by 7 publications

(4 citation statements)

References 9 publications

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“…The soil is modeled as a half-space as well as a stratum on bedrock. The dynamic stiffness of the soil in the frequency-domain has been transferred to the time-domain in [49] by a rational approximation and the same data are used here: in particular, for the Padé rational approximation an order M = 7…”

Section: Numerical Treatment Of the Modified Matrix Bmentioning

confidence: 99%

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Stabilization by deflation for sparse dynamical systems without loss of sparsity

Cazzani

Rüge

2016

Mechanical Systems and Signal Processing

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Section: Numerical Treatment Of the Modified Matrix Bmentioning

confidence: 99%

“…in the frequency-domain are those taken from [49] and are shown in In the time-domain the generalized forces f u , f ϕL in the interface are described by means of a first-order ODE with additional internal DOFs z f :…”

Section: Numerical Treatment Of the Modified Matrix Bmentioning

confidence: 99%

Stabilization by deflation for sparse dynamical systems without loss of sparsity

Cazzani

Rüge

2016

Mechanical Systems and Signal Processing

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“…Various time-domain methods are used to convert the frequency response functions into timedomain mechanical models, which are coupled with the superstructure for time-domain analysis. Currently, commonly used time-domain methods include continued fraction expansion [5][6][7] , operator split methods [8] , rational approximation function [9][10][11][12][13] , etc. Among them, according to the computation time, the rational approximation method, compared to other current time-domain methods, is characterized by its simplicity and high applicability.…”

Section: Introductionmentioning

confidence: 99%

Time-domain instability mechanism for artificial boundary condition of semi-infinite medium described by discrete rational approximation

Tang,

Fu,

2024

Dis Prev Res

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The use of discrete rational approximation functions to represent foundation dynamic impedance plays a crucial role in the time-domain analysis of soil-structure interaction regarding artificial boundary. In modeling, the rational approximation functions need to be transformed into time-domain recursive models for incorporation into time-history analysis. However, this method also suffers from uncertainties in parameter identification and instability in time-domain analysis when the time-domain recursive models of soil are coupled with upper structure. The stability issue in artificial boundary coupled time-domain computation has not been effectively addressed. This paper establishes the closed-loop transfer function of the coupled system and analyzes the causes of instability in the coupled system based on gain margin analysis. Different numerical simulations demonstrate that the major cause of artificial boundary system instability is the description errors of discrete rational approximation functions beyond the fitting frequency range.

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“…Finally, we should consider the possibility of analyzing the problem of B-G wave propagation in a layered piezoelectric system by using a Pade´rational expansion of complex-valued stiffness coefficients in the frequency domain. Such a method has been already used for the study of wave propagation in an homogeneous unbounded domain by Ruge et al [41] and by Birk et al [42] and for unbounded coupled soil-structure problems by Cazzani and Ruge [43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations for the phase velocities and the electromechanical coupling factor of the Bleustein–Gulyaev waves in some piezoelectric smart materials

Abd-alla

Asker

2014

Mathematics and Mechanics of Solids

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In this paper, the propagation behavior of the surface Bleustein-Gulyaev (B-G) waves in a piezoelectric layered half-space is investigated. The governing equations of the coupled waves are obtained. The boundary conditions are assumed in such a way that the displacements, shear stress, electric potential, and electric displacements are continuous across the interface between the layer and the substrate together with the traction-free boundary at the surface of the layer. The electrically open and short conditions at the surface are adopted to solve the problem. The phase velocity is numerically calculated for the electric open and short cases for different thicknesses of the layer and wave number. The phase velocity equation of the B-G wave is obtained by an analytical technique when a layered half-space with an identical piezoelectric layer and substrate but with opposite polarization is utilized. The electromechanical coupling factor in the layered piezoelectric structures is discussed. The results obtained in this paper will be very useful for the engineering application of B-G waves.

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Rotor platforms on pile-groups running through resonance: A comparison between unbounded soil and soil-layers resting on a rigid bedrock

Cited by 7 publications

References 9 publications

Stabilization by deflation for sparse dynamical systems without loss of sparsity

Stabilization by deflation for sparse dynamical systems without loss of sparsity

Time-domain instability mechanism for artificial boundary condition of semi-infinite medium described by discrete rational approximation

Numerical simulations for the phase velocities and the electromechanical coupling factor of the Bleustein–Gulyaev waves in some piezoelectric smart materials

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