安徽大学学报（自然科学版）
安徽大學學報（自然科學版）
안휘대학학보（자연과학판）
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2010年
2期
43-48
,共6页
包兴明%周志坚%袁玉全%戚作涛%王时建
包興明%週誌堅%袁玉全%慼作濤%王時建
포흥명%주지견%원옥전%척작도%왕시건
非线性振动%对称八弹性振子%微小振动
非線性振動%對稱八彈性振子%微小振動
비선성진동%대칭팔탄성진자%미소진동
nonlinear vibration%eight flexible symmetric simple harmonic oscillator%the small vibration
应用拉格朗日方程方法研究理想对称八弹性振子作二维运动的变化规律,得到其微小振动的控制方程,用数值解法求解振动方程,得到了振子运动的时程响应图样.结果表明:理想对称八弹性振子的振动为非线性振动.波形可看成是一个变形了的余弦波.
應用拉格朗日方程方法研究理想對稱八彈性振子作二維運動的變化規律,得到其微小振動的控製方程,用數值解法求解振動方程,得到瞭振子運動的時程響應圖樣.結果錶明:理想對稱八彈性振子的振動為非線性振動.波形可看成是一箇變形瞭的餘絃波.
응용랍격랑일방정방법연구이상대칭팔탄성진자작이유운동적변화규률,득도기미소진동적공제방정,용수치해법구해진동방정,득도료진자운동적시정향응도양.결과표명:이상대칭팔탄성진자적진동위비선성진동.파형가간성시일개변형료적여현파.
In this paper, the authors studied two dimension vibrations of eight flexible symmetric simple harmonic oscillator.The nonlinear vibration equations of this model were obtained by using the Lagrange function method , then solved by using numerical method. The results showed that the small vibration of this ideal model was nonlinear, and the deformation of the waves could be seen as an asimilar cosine waveshape.
