Spectral element method for dynamic response of transversely isotropic asphalt pavement under impact load

2016 ◽  
Vol 19 (1) ◽  
pp. 223-238 ◽  
Author(s):  
Lingyun You ◽  
Kezhen Yan ◽  
Yingbin Hu ◽  
Jun Liu ◽  
Dongdong Ge
Keyword(s):  
Dynamic Response ◽  
Spectral Element Method ◽  
Impact Load ◽  
Asphalt Pavement ◽  
Transversely Isotropic ◽  
Spectral Element ◽  
Element Method

Application of Spectral Element Method for Dynamic Analysis of Plane Frame Structures

2019 ◽  
Vol 35 (3) ◽  
pp. 1213-1233 ◽  
Author(s):  
N. Merve Çağlar ◽  
Erdal Şafak
Keyword(s):  
Dynamic Response ◽  
Spectral Element Method ◽  
Computational Cost ◽  
Spectral Element ◽  
Frame Structure ◽  
Frame Structures ◽  
The Finite Element Method ◽  
Plane Frame ◽  
Impedance Functions ◽  
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.

Wave Analysis of Planar Deployable Structures with Revolute Clearance Joints Based on Spectral Element Method

2018 ◽  
Vol 10 (08) ◽  
pp. 1850090 ◽  
Author(s):  
Xiao-Fei Ma ◽  
Tuan-Jie Li
Keyword(s):  
Spectral Element Method ◽  
Impact Load ◽  
Spectral Element ◽  
Wave Analysis ◽  
Clearance Joints ◽  
Revolute Clearance Joint ◽  
Planar Structures ◽  
Clearance Joint ◽  
The Impact ◽  
Element Method

Clearance is inevitable in the deployable mechanisms due primarily to the kinematic function requirements. This phenomenon affects the dynamic performances of deployed structures negatively. In this paper, the wave analysis of dynamic characteristics of planar structures with revolute clearance joints is developed by spectral element method. First, the spectral element model of revolute clearance joints is established. The radial and tangential springs and damping coefficients of revolute clearance joints are evaluated based on the contact model of elastic foundation. Then, the wave equations of two beams connected by a revolute clearance joint are derived, and extended to the case of multiple beams connected by revolute clearance joints. Finally, the dynamic response is analyzed for planar structures with single revolute clearance joint and multiple revolute clearance joints under the impact load. The wave propagation rules in planar structures with revolute clearance joints are revealed.

Simulation of anisotropic wave propagation based upon a spectral element method

Geophysics ◽  
2000 ◽  
Vol 65 (4) ◽  
pp. 1251-1260 ◽  
Author(s):  
Dimitri Komatitsch ◽  
Christophe Barnes ◽  
Jeroen Tromp
Keyword(s):  
Wave Propagation ◽  
Spectral Element Method ◽  
Mass Matrix ◽  
Computational Cost ◽  
Transversely Isotropic ◽  
Anisotropic Media ◽  
Spectral Element ◽  
Weak Formulation ◽  
Element Mesh ◽  
Element Method

We introduce a numerical approach for modeling elastic wave propagation in 2-D and 3-D fully anisotropic media based upon a spectral element method. The technique solves a weak formulation of the wave equation, which is discretized using a high‐order polynomial representation on a finite element mesh. For isotropic media, the spectral element method is known for its high degree of accuracy, its ability to handle complex model geometries, and its low computational cost. We show that the method can be extended to fully anisotropic media. The mass matrix obtained is diagonal by construction, which leads to a very efficient fully explicit solver. We demonstrate the accuracy of the method by comparing it against a known analytical solution for a 2-D transversely isotropic test case, and by comparing its predictions against those based upon a finite difference method for a 2-D heterogeneous, anisotropic medium. We show its generality and its flexibility by modeling wave propagation in a 3-D transversely isotropic medium with a symmetry axis tilted relative to the axes of the grid.

Dynamic response of pavement under FWD using spectral element method

2014 ◽  
Vol 18 (4) ◽  
pp. 1047-1052 ◽  
Author(s):  
Xingyu Gu ◽  
Linbing Wang ◽  
Sheng Cheng ◽  
Fujian Ni
Keyword(s):  
Dynamic Response ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Element Method
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