具有高阶项的弹性杆振动系统的稳定性  

Stability of Higher Order Vibration System of Elastic Rod

作　　者：裴金仙[1] 

机构地区：[1]山西大学商务学院理学系,山西太原030031

出　　处：《中北大学学报（自然科学版）》2012年第1期18-20,共3页Journal of North University of China(Natural Science Edition)

摘　　要：弹性杆描述的数学模型有很强的实际背景,对一类弹性杆的振动系统进行了研究,分析了系统的稳定性.由于该系统的显式解求不出来,因此对其稳定性的讨论就是很必要的.利用能量方法证明了系统解的衰减性结果,给出了系统是多项式稳定的.该结果推广到具有阻尼的弹性杆振动系统的渐近稳定性.There is strong application background for the mathematical model describing elastic rod.The elastic rod vibration system of the initial boundary value problem was studied and the stability of the solutions was discussed.For there is no explicit solution could not obtained,the study on the system＇s stability becomes necessary.Using the energy method,the decay result of the solutions was obtained.The result shows that the system was of polynomial stability,and can be generalized to the elastic rod system with damping.

关 键 词：弹性杆 稳定性 能量法 

分 类 号：O175.29[理学—数学]