發(fā)布時間：2018-03-09 21:47

  本文選題：多邊形單元　切入點：彈塑性　出處：《浙江大學學報(工學版)》2017年10期 　論文類型：期刊論文

【摘要】：針對當前比例邊界有限元法(SBFEM)僅適用于彈性求解,無法推廣至非線性應用的問題;根據(jù)三角形單元積分法則,提出在每個線單元徑向覆蓋的三角形引入域內(nèi)高斯積分點,通過半解析的彈性解來構造用于非線性分析的單元形函數(shù),實現(xiàn)了非線性多邊形比例邊界有限單元(NPSBFE).采用NPSBFE對經(jīng)典算例Koyna大壩進行塑性損傷動力響應分析,與振動臺實驗及XFEM模擬結果進行比較,結果基本一致,驗證了實現(xiàn)的NPSBFE用于非線性動力分析的可靠性.采用NPSBFE模擬考慮擠壓邊墻的面板堆石壩彈塑性地震動響應.用較少的網(wǎng)格模擬結果與有限元較密網(wǎng)格所得的結果吻合良好.多邊形比例邊界有限元可以非常靈活地處理復雜的材料分區(qū)及跨尺度區(qū)域的網(wǎng)格銜接問題,能夠大幅減少建模難度和單元數(shù)量,提高模擬效率.
[Abstract]:In view of the problem that the current proportional boundary finite element method (SBFEMM) is only suitable for elastic solution and can not be extended to nonlinear application, according to the integral rule of triangular element, the Gao Si integral point in the domain of introducing Gao Si into the triangle with radial coverage of each line element is proposed. The element shape function for nonlinear analysis is constructed by semi-analytical elastic solution, and the nonlinear polygonal proportional boundary finite element (NPSBFEE) is realized. The plastic damage dynamic response of a classical Koyna dam is analyzed by NPSBFE. Compared with the shaking table experiment and XFEM simulation results, the results are basically consistent. The reliability of NPSBFE for nonlinear dynamic analysis is verified. The elastoplastic ground motion response of face rockfill dam with extruded side wall is simulated by NPSBFE. The finite element method of polygonal proportional boundary can deal with the problem of complex material partitioning and meshing in cross-scale region flexibly. It can greatly reduce the difficulty of modeling and the number of units, and improve the efficiency of simulation.
【作者單位】： 大連理工大學水利工程學院;大連理工大學海岸和近海工程國家重點實驗室;
【基金】：國家重點研發(fā)計劃資助項目(2017YFC0404900) 國家自然科學基金資助項目(51678113;51379028) 中央高�；究蒲袠I(yè)務費資助項目(DUT17ZD219)
【分類號】：TV32;TV641.43
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本文編號：1590360