CAJ | 학술논문

对一类单自由度非光滑动力统进行了研究，应用微分包含理论研究了其沿着分离边界的滑动运动；提出了在分离边界上确定其运动奇异性的扰动方法；借助理论分析和数值仿真对系统擦边周期运动的存在性进行了研究，推导了擦边周期运动存在的条件，并通过数值模拟对其进行了验证。
대일류단자유도비광활동력통진행료연구，응용미분포함이론연구료기연착분리변계적활동운동；제출료재분리변계상학정기운동기이성적우동방법；차조이론분석화수치방진대계통찰변주기운동적존재성진행료연구，추도료찰변주기운동존재적조건，병통과수치모의대기진행료험증。
A single-degree-of-freedom non-smooth dynamical system has been discussed in this pa-per.A methodology for the local singularity of non-smooth dynamical systems is systematically presented,and the sliding dynamics along the separation boundary is investigated by the differen-tial inclusion theory.A perturbation method is introduced to determine the singularity of the slid-ing dynamics on the separation boundary.The conditions of grazing period motions are deduced and the formula is verified by numerical simulation.