非线性振动中周期与振幅和能量关系的级数表达式  

The series expressions of relations between period and amplitude and energy for nonlinear vibration

作　　者：郝继光 黄亦斌[2] HAO Ji-guang;HUANG Yi-bin(The First Middle School of Wanli,Nanchang,Jiangxi,330004,China;College of Physics and Communication Electronics,Jiangxi Normal University,Nanchang,Jiangxi 330022,China)

机构地区：[1]南昌市湾里区第一中学,江西南昌330004 [2]江西师范大学物理与通信电子学院,江西南昌330022

出　　处：《大学物理》2021年第1期17-20,共4页College Physics

摘　　要：针对一般的一维非线性振动问题,讨论了周期与振幅和能量关系的级数解法,给出了直到4阶的表达式和相关结果,并用单摆和中心力场的严格解进行了验证.The series expressions of relations between period and amplitude and energy are discussed for general one-dimensional nonlinear vibration,and solutions up to the fourth order are obtained.They are checked by the rigorous solution of two examples,i.e.,simple pendulum and central force.

关 键 词：非线性振动 周期 振幅 能量 级数 

分 类 号：O322[理学—一般力学与力学基础]