Dynamic property analysis of the space-frame structure using the spectral element method

The paper presents a methodology to analyze plane frame structures using the Spectral Element Method (SEM) with and without considering Soil-Structure Interaction (SSI). The formulation of spectral element matrices based on higher-order element theories and the assemblage procedure of arbitrarily oriented members are outlined. It is shown that SEM gives more accurate results with much smaller computational cost, especially at high frequencies. Since the formulation is in the frequency domain, the frequency-dependent foundation impedance functions and SSI effects can easily be incorporated in the analysis. As an example, the dynamic response of a plane frame structure is calculated based on the Finite Element Method (FEM) and SEM. FEM and SEM results are compared at different frequency bands, and the effects of SSI on the dynamic response are discussed.

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Dynamic strain analysis using spectral element method

10.26678/abcm.diname2019.din2019-0029 ◽

2019 ◽

Author(s):

THIAGO SILVA ◽

Marcela Machado ◽

Leila Khalij

Keyword(s):

Spectral Element Method ◽

Strain Analysis ◽

Spectral Element ◽

Dynamic Strain ◽

Element Method

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Dynamic modeling and analysis of the PZT-bonded composite Timoshenko beams: Spectral element method

Journal of Sound and Vibration ◽

10.1016/j.jsv.2012.06.020 ◽

2013 ◽

Vol 332 (6) ◽

pp. 1585-1609 ◽

Cited By ~ 32

Author(s):

Usik Lee ◽

Daehwan Kim ◽

Ilwook Park

Keyword(s):

Dynamic Modeling ◽

Spectral Element Method ◽

Spectral Element ◽

Timoshenko Beams ◽

Modeling And Analysis ◽

Bonded Composite ◽

Element Method

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Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes

Journal of Scientific Computing ◽

10.1007/s10915-005-9070-8 ◽

2006 ◽

Vol 26 (3) ◽

pp. 301-327 ◽

Cited By ~ 105

Author(s):

David A. Kopriva

Keyword(s):

Spectral Element Method ◽

Spectral Element ◽

Element Method

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The Implementation of Spectral Element Method in a CAE System for the Solution of Elasticity Problems on Hybrid Curvilinear Meshes

Modelling and Simulation in Engineering ◽

10.1155/2017/1797561 ◽

2017 ◽

Vol 2017 ◽

pp. 1-7 ◽

Cited By ~ 3

Author(s):

Dmitriy Konovalov ◽

Anatoly Vershinin ◽

Konstantin Zingerman ◽

Vladimir Levin

Keyword(s):

Mathematical Simulation ◽

High Performance ◽

Spectral Element Method ◽

New Technologies ◽

Spectral Element ◽

High Tech ◽

Engineering Analysis ◽

Elasticity Problems ◽

Cae System ◽

Element Method

Modern high-performance computing systems allow us to explore and implement new technologies and mathematical modeling algorithms into industrial software systems of engineering analysis. For a long time the finite element method (FEM) was considered as the basic approach to mathematical simulation of elasticity theory problems; it provided the problems solution within an engineering error. However, modern high-tech equipment allows us to implement design solutions with a high enough accuracy, which requires more sophisticated approaches within the mathematical simulation of elasticity problems in industrial packages of engineering analysis. One of such approaches is the spectral element method (SEM). The implementation of SEM in a CAE system for the solution of elasticity problems is considered. An important feature of the proposed variant of SEM implementation is a support of hybrid curvilinear meshes. The main advantages of SEM over the FEM are discussed. The shape functions for different classes of spectral elements are written. Some results of computations are given for model problems that have analytical solutions. The results show the better accuracy of SEM in comparison with FEM for the same meshes.

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