Three-dimensional infinite element artificial boundary establishment method suitable for explicit analysis
A building method, a three-dimensional technology, applied in 3D modeling, special data processing applications, image data processing, etc., can solve the problems of time-consuming calculation, difficult to achieve convergence, unable to set grounding spring-damper, etc., to achieve computational efficiency High and efficient effect
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Embodiment 1
[0046] Example 1: Calculation of Artificial Boundary Dynamics of 3D Soil
[0047] Such as figure 2 As shown, the geometric range of the intercepted soil is 400m×400m×300m by adopting the three-dimensional soil model for analysis, and the geometric size of the finite element near-field area of the intermediate soil is: 200m×200m×200m, and the grid unit type of this part is used C3D8R finite element simulation, and the outer areas of the four sides and the bottom of the finite element soil such as image 3 , 4 The simulation is shown using the infinite element CIN3D8 unit. The material parameter characteristics of the soil are: density ρ=2500kg / m 3 , elastic modulus E = 14.82GPa, Poisson's ratio ν = 0.3, shear wave velocity C s =1510m / s, compression wave velocity C p =2825m / s. Input a quarter of the sinusoidal displacement wave of vertical incidence, the duration is taken as 1s, its expression is: when 0≤t≤0.25s, u(t)=0.01sin(4πt), and the displacement at other times is...
Embodiment 2
[0048] Example 2: Calculation of artificial boundary dynamics of three-dimensional soil under seismic wave load
[0049] Using the soil model in Example 1, input the vertically incident unidirectional LBNS seismic wave, the acceleration time history is as follows Figure 8 As shown, the duration is 30s, the acceleration is in the unit of gravitational acceleration g, and the peak value of the acceleration is 0.1g. Convert it into an equivalent load and apply it to the nodes at the interface between the finite element and the infinite element. Taking the top surface of the soil, that is, the center point of the upper surface, as the observation point, the acceleration time-history response is calculated as follows: Figure 9 As shown in , it is only necessary to observe whether the obtained acceleration response peak value of the center point of the soil free surface satisfies the nearly twice relationship with the input seismic wave peak value. It is found that the obtained ...
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