【摘要】：針對活動線纜在安裝和服役過程中受到單面約束時的運動過程仿真問題,提出一種基于彈性細桿靜力學理論的光滑平面約束下的活動線纜物性建模與仿真方法。該方法通過分析活動線纜在光滑平面約束下的受力情況,將活動線纜所受到的約束力用拉格朗日乘子表達,將節(jié)點與平面的相對空間位置關(guān)系作為限制活動線纜運動的約束方程,得到分布力作用下的活動線纜Kirchhoff平衡方程,并建立活動線纜的物理模型。進而采用非線性約束優(yōu)化方法求解模型。最后根據(jù)不同假設條件進行算例測試,通過比較活動線纜的仿真形態(tài)和實際形態(tài),驗證模型和數(shù)值解法的正確性。結(jié)果表明,該模型和解法能充分真實地表達活動線纜的基本物理特性和活動線纜受到光滑平面約束時的形變特點。
[Abstract]:In order to simulate the motion process of moving cable under one-sided constraint during installation and service, a physical modeling and simulation method for moving cable under smooth plane constraint based on the static theory of thin elastic rod is proposed. In this method, the force of active cable under smooth plane constraint is analyzed, and the binding force of active cable is expressed by Lagrangian multiplier. The relative spatial position relationship between the nodes and the plane is taken as the constraint equation to restrict the movement of the active cable. The Kirchhoff equilibrium equation of the active cable under the distributed force is obtained and the physical model of the active cable is established. Then the nonlinear constrained optimization method is used to solve the model. Finally, a numerical example is tested according to different hypothetical conditions, and the correctness of the model and numerical solution is verified by comparing the simulation form and the actual form of the moving cable. The results show that the model and the solution can express the basic physical properties of the active cable and the deformation characteristics of the active cable under the constraint of smooth plane.
【作者單位】： 北京理工大學機械與車輛學院;
【基金】：國家自然科學基金(51275047) 國防基礎(chǔ)科研(A0420132501)和總裝預先研究(51318010102)資助項目
【分類號】：O343
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本文編號：2439808