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Simulation of Nonlinear Behavior of Beam Structures Based on Discrete Element Method
Ruo-qiang Feng,Baochen Zhu,Chunchang Hu,Xi Wang 한국강구조학회 2019 International Journal of Steel Structures Vol.19 No.5
In this paper, the discrete element method (DEM) is improved to simulate the strong nonlinear mechanics behavior of beam structures. First, the spring stiff ness of parallel bond model applied to beam structure is deduced using the principle of energy conservation, and the relationship between spring stiff ness and elastic constants is established. Second, the layered beam theory is introduced into the traditional DEM. The yield criteria and the spring stiff ness of contact in yield state are deduced, so that the improved DEM can be used to solve the plastic problem of beam structures. Third, the fracture criterion based on the limit strain of material is defi ned, so that the fracture problem of steel beams can be solved by DEM. Fourth, the force–displacement equations of Hertz model is deduced. Finally, the numerical examples show that the improved DEM can eff ectively solve the problems of large deformation, plasticity, fracture, contact and collision of beam structures.
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A Mode Contribution Ratio Method for Seismic Analysis of Large-span Spatial Structures
Ruo-qiang Feng,Zhu Baochen,Xin Wang 한국강구조학회 2015 International Journal of Steel Structures Vol.15 No.4
The structural forms of large-span spatial structures can be characterized by the dense distribution of their natural frequencies, and their vibration subjected to seismic loads is three-dimensional. There are many modes that contribute to the seismic response. The high-order modes typically dominate. The mode superposition dynamic analysis method used for seismic design of spatial structures requires a criterion to determine the dominant modes. The criterion for tall buildings is not applicable for spatial structures; instead, we have proposed the mode contribution ratio method for the selection of the dominant modes of spatial structures subjected to seismic loads. A set of 18 typical cases of different single-layer spherical lattice shells was used to verify the validity of this method. The following conclusions can be drawn: First, the method for combining the first thirty modes to calculate the seismic responses specified in the Technical Specification for Space Frame Structures is not accurate and is not applicable to spatial structures. Second, the mode contribution ratio method can be used to choose the dominant modes of spatial structures. Third, the mode contribution ratio is physically different from the effective mass ratio. Especially when the structural mass distribution is uneven, the two ratios are different, and the mode contribution ratio is more precise in calculation of the seismic responses of spatial structures.
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