Abstract
To solve the problem that gravity deformation curve of large-span cast-iron beam analyzed by finite element method simulation is inaccurate due to material imperfection, a discretization calculation considering the inhomogeneity of the material based on finite difference method is proposed. Supposing the flexural rigidity of the beam is different along the length, the continuous beam is discretized into segments based on finite difference method, and equivalent flexural rigidity is presented to characterize the inhomogeneity of the material. Correction model of bending deformation is constructed to revise the results of finite element method simulation applying equivalent flexural rigidity that could be obtained by combining the discretization model and deformation data acquired in a simple self-load experiment in which the beam is simply supported without any assembly process. Finally, flowchart of application is presented, and the approach is illustrated through an example from real case. The experimental results show that the computational accuracy is improved from 73.14% to 88.33%, compared with just finite element method simulation.
Highlights
Large and accurate parts are desired for high-growth sectors such as rail road, aeronautics, and shipping
Static errors of heavy-duty machine tools were detected and compensated by laser instruments to improve the accuracy of large computer numerical control (CNC) machine tools.[2,3]
As the parameter (EI)i is involved in equation (3), combining the acquired deformation data in the self-weight load experiment and the discretization model of bending deformation caused by gravity, the equivalent flexural rigidity of all the discretizing segments could be calculated to characterize the property of actual material
Summary
Large and accurate parts are desired for high-growth sectors such as rail road, aeronautics, and shipping. As the parameter (EI)i is involved in equation (3), combining the acquired deformation data in the self-weight load experiment and the discretization model of bending deformation caused by gravity, the equivalent flexural rigidity of all the discretizing segments could be calculated to characterize the property of actual material. As the constant value of material parameters inputted in FEM pre-processing cannot characterize the inhomogeneity of the material, the result of FEM simulation should be corrected by the equivalent flexural rigidity to calculate the accurate curve of gravity deformation. The calculated equivalent flexural rigidity is applied to correct the resulting curves of FEM simulation based on FDM so that the accurate gravity deformation curve of the beam could be plotted.
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