A time-domain spectral element method with C1 continuity for static and dynamic analysis of frame structures

Structures ◽  
2020 ◽  
Vol 28 ◽  
pp. 604-613
Author(s):  
Lu Han ◽  
Jingxiong Wang ◽  
Hongjing Li ◽  
Guangjun Sun
2014 ◽  
Vol 6 (3) ◽  
pp. 1-10
Author(s):  
Ramezan Ali Izadifard ◽  
Reza Khaleseh Ranjbar ◽  
Benyamin Mohebi

2019 ◽  
Vol 145 (6) ◽  
pp. 3299-3310 ◽  
Author(s):  
Finnur Pind ◽  
Allan P. Engsig-Karup ◽  
Cheol-Ho Jeong ◽  
Jan S. Hesthaven ◽  
Mikael S. Mejling ◽  
...  

2019 ◽  
Vol 35 (3) ◽  
pp. 1213-1233 ◽  
Author(s):  
N. Merve Çağlar ◽  
Erdal Şafak

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.


2013 ◽  
Vol 838-841 ◽  
pp. 1726-1732
Author(s):  
Ping Tan ◽  
Nan Sheng Li ◽  
Qun Jiang

Spectral element method (SEM), which combines the ideas of the finite element method (FEM) with the theory of spectral method, is being in the initial stage of developing for the static and dynamic analysis of large dams. The best advantage of SEM is that it can arrive at so-called spectral accuracy out of FEMs reach. In this paper, the Fourier SEM has been first used in dynamic analysis of large dams in order to improve the accuracy and efficiency of numerical results and procedure. The study begins with the governing equation of motion of large dams, then deduces the corresponding SEM stiffness, mass (damping) matrix and equivalent load vector taking advantage of the Fourier interpolation polynomials to approximate the unknowns in spatial domains. This paper also reveals the valuable application of SEM in complicated structural engineering. The formulation proposed in this paper can also be applied to the general dynamic analysis of physical structures.


2004 ◽  
Vol 277 (4-5) ◽  
pp. 1071-1081 ◽  
Author(s):  
H. Igawa ◽  
K. Komatsu ◽  
I. Yamaguchi ◽  
T. Kasai

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