【摘要】：勢函數(shù)離散單元法在接觸力計算中存在勢函數(shù)物理意義不明確、接觸力計算與客觀實際不符等重大缺陷。在已有研究的基礎(chǔ)上,提出一種新型任意形狀塊體距離勢離散單元法。該方法將勢函數(shù)定義為接觸體間歸一化的距離函數(shù),可以客觀衡量單元間的嵌入程度,具有明確的物理意義,真實反映單元的接觸剛度,使法向接觸力計算更為合理。此外,新方法重新定義了切向方向矢量,提出切向接觸力計算方法。新方法保留原勢函數(shù)法所有優(yōu)點,同時完善接觸力計算受單元形式影響的不足,并突破三角形單元的限制,能夠應用于任意凸多邊形單元。通過若干算例說明新方法的正確性和有效性,可用于精確描述復雜非連續(xù)介質(zhì)的運動過程。
[Abstract]:The potential function discrete element method has some important defects in the calculation of contact force, such as the unclear physical meaning of the potential function and the inconsistency between the calculation of the contact force and the objective reality. Based on the previous research, a new discrete element method for the distance potential of blocks with arbitrary shape is proposed. This method defines the potential function as the normalized distance function between contact bodies, which can objectively measure the embedding degree between elements, have clear physical significance, reflect the contact stiffness of the element, and make the calculation of normal contact force more reasonable. In addition, the tangential direction vector is redefined and the tangential contact force is calculated. The new method preserves all the advantages of the original potential function method, and at the same time improves the deficiency of contact force calculation influenced by the element form, and breaks through the limitation of the triangular element, and can be applied to any convex polygon element. Some examples are given to illustrate the correctness and validity of the new method, which can be used to accurately describe the motion process of complex discontinuous media.
【作者單位】： 河海大學水利水電學院;天津大學水利工程仿真與安全國家重點實驗室;
【基金】：霍英東教育基金會第十五屆高等院校青年教師基金(151073) 水利部公益性行業(yè)科研專項經(jīng)費項目(201501034) 國家重點研發(fā)計劃(2016YFC0401601)~~
【分類號】：TU45
，

本文編號：2325407