摘要
建立了机械基础动力系统的强非线性动力学模型 ,利用能量法对该系统的周期解进行了解析研究 ,确定了系统动态参数满足周期解的条件、系统的周期解以及解的稳定性判别式。发现了亚谐振动 ,并给出了系统在满足周期解条件下的一组参数对应的主振动、1 / 3亚谐振动和 1 / 5亚谐振动。最后利用数值积分方法计算了系统在给定条件下的主振动及亚谐振动解 。
A strongly nonlinear dynamicl model of machine foundation system is presented, and the analytical research on the periodic solution of the system is developed using the energy method in this paper. The condition of the periodic solution which must be satisfied by the dynamical parameters, the periodic solution of the system and the discriminant of the stability are suggested. Besides main resonance, the subharmonic resonance in the system is detected, and a set of periodic solution of main and 1/3 & 1/5 subharmonic resonance under the periodic condition are given as examples. Finally the periodic solution of the system is investigated with the numerical method, and the precision of analytical method is compared with numerical one.
出处
《应用力学学报》
CAS
CSCD
北大核心
2003年第2期140-144,共5页
Chinese Journal of Applied Mechanics
