隨機(jī)分布多孔板拉伸極限強(qiáng)度的蒙特卡洛有限元分析
[Abstract]:Offshore platforms are usually subjected to a relatively bad marine environment, in which corrosion is an extremely important factor affecting the safety of offshore platforms, and the maximum limit load of structures is an important index to evaluate the safety of offshore platforms. At present, nonlinear finite element method for large elastic-plastic deformation is an effective method for calculating the maximum ultimate load of structures. Considering the randomness of corrosion in steel structures of offshore platforms, the combination of Monte Carlo method and stochastic finite element method has become one of the development directions to study the maximum limit loads of offshore platforms. Therefore, the Monte Carlo finite element analysis of the maximum tensile limit load of randomly distributed perforated plates is of great theoretical and practical significance. The stochastic distribution of perforated plates is used to replace the steel plates used in the corrosion environment. Although this approximation is far from the true corrosion, it is a conservative estimate. Because of the random distribution of Monte Carlo method, the simulated corrosion location and size can be very close to the real situation. Taking the 981 offshore platform project as the background, taking the WDH370 steel plate produced by WISCO as the research object, the maximum tensile limit load of the randomly distributed perforated plate is calculated, and a large number of sample data are obtained and the mathematical statistics are carried out. The influence factors of the maximum tensile limit load are studied, and the numerical simulation results and statistical laws with high reference value are obtained. The main work of this paper is as follows: the method of parametric modeling and collaborative computing is used to realize the complete automatic calculation from the whole process of finite element pre-processing, calculation and post-processing. In MATLAB environment, the model of randomly distributed perforated plates is established, the corrosion holes are generated automatically and the mesh is automatically divided. In the ABAQUS environment, the bilinear elastoplastic stress-strain curves of WDH370 are customized to open the calculation options of ABAQUS elastoplasticity and large deformation. In the ABAQUS/Python environment, the automatic transfer of the results of the ABAQUS calculation and the effective data import to specify the EXCEL spreadsheet are realized, and finally, the elastic-plastic large deformation finite element calculation is realized by the MATLAB main program. In the absence of human intervention, a single command was executed to complete the automatic calculation of a finite element model for several hundred scheduled models. The numerical results show that the proposed method is reasonable, effective and accurate. The random perforated plates with different porosity (nominal corrosion rate DOP),) and different yield ratio are calculated. The load-displacement curve and the data of maximum limit load, displacement, elastic stiffness and so on are extracted and analyzed statistically. It is found that the residual limit load ratio and elastic stiffness reduction of the structure all conform to the normal distribution and through the test, the quantitative statistical relationship between the corrosion rate and the flexural strength ratio, the corrosion rate and the flexural strength ratio and the elastic stiffness reduction is obtained.
【學(xué)位授予單位】:華中科技大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2015
【分類號】:P755.3
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