CAJ | 학술논문

为了研究剪式线性对称阵列可展结构的动力学特性，基于杆系能量泛函，建立剪式单元的等效质量矩阵，继而组装得到剪式可展结构的等效质量矩阵。考虑剪式铰的基本约束关系，利用机械系统动力学方程的增广法建立了适用于任意单元个数的剪式线性阵列可展结构的动力学模型。采用一种高精确度的直接违约校正法对系统的坐标和速度进行修正，避免了数值结果的发散。最后通过多步长 Runge?Kutta 法完成数值仿真，获得了该机构运动过程中各节点位置、速度及加速度随时间变化的曲线。结果表明：由于剪式可展结构的几何约束以及外载的影响，导致各节点沿阵列方向其对称特性表现较好；同时，在受力一侧，各节点沿 x 轴动力学特性变化较明显，而非受力一侧，速度、加速度等物理量变化幅度很小。
위료연구전식선성대칭진렬가전결구적동역학특성，기우간계능량범함，건립전식단원적등효질량구진，계이조장득도전식가전결구적등효질량구진。고필전식교적기본약속관계，이용궤계계통동역학방정적증엄법건립료괄용우임의단원개수적전식선성진렬가전결구적동역학모형。채용일충고정학도적직접위약교정법대계통적좌표화속도진행수정，피면료수치결과적발산。최후통과다보장 Runge?Kutta 법완성수치방진，획득료해궤구운동과정중각절점위치、속도급가속도수시간변화적곡선。결과표명：유우전식가전결구적궤하약속이급외재적영향，도치각절점연진렬방향기대칭특성표현교호；동시，재수력일측，각절점연 x 축동역학특성변화교명현，이비수력일측，속도、가속도등물리량변화폭도흔소。
In order to research the dynamic characteristics of the scissor linear array deployable structure, the e?quivalent mass matrix of scissor unit is established based on linkage energy functional, which is assembled to obtain the equivalent mass matrix of the scissor pantographic structure. The dynamic model of scissor linear array deploy?able structure established is applied to any unit number using the augmented method of mechanical system dynamics equation. We use a high accuracy direct default correction method to modify the coordinates and speed of the system and avoid the divergence of numerical results. We use variable step Runge?Kutta method for numerical calculation;the laws of the structure, such as velocity and acceleration, can be obtained. The results show that the nodes of scissor deployable structure have good symmetrical performance along the array direction because of the influence of the geometric constraints and external load; meanwhile, all nodes at the side of the force, the dynamic change is obvious, without force side, however, only a small change along the x axis in speed, acceleration and other physi?cal quantities.