CAJ | 학술논문

研究了一类梁的横向振动方程的稳定性态,使用Galerkin截断得到仅含时间变量的非线性常微分方程组。利用微分方程稳定性理论,讨论了系统平衡点的稳定性态。通过对参数的分析,得到了系统不同类型平衡点的存在条件,并给出了数值模拟。
연구료일류량적횡향진동방정적은정성태,사용Galerkin절단득도부함시간변량적비선성상미분방정조。이용미분방정은정성이론,토론료계통평형점적은정성태。통과대삼수적분석,득도료계통불동류형평형점적존재조건,병급출료수치모의。
The stability condition of the transverse vibration equation about a beam is studied.By using Galerkin truncation,the nonlinear ordinary differential equations only containing the variable time is gotten.We discuss the stability of the system＇s equilibrium by using of differential equation stability theory.Besides,we can get the existence conditions of different types of the system＇s equilibrium through the analysis of parameters.The numerical simulation result is also given.