摘要
对各向同性弹性锥形薄圆环的扭转振动进行了研究,推出了其等效电路.在此基础上得到了空载时扭转振动的频率方程、共振频率表达式及角位移放大系数表达式.利用数值方法求出了共振频率和角位移放大系数的理论值.给出了频率与半径及放大系数与内外半径比的拟合关系曲线,得到了放大系数最大时的半径比.通过有限元模态分析表明,理论值与仿真值符合很好,这对锥形截面环状聚能器的工程设计具有参考价值.
The torsional vibration of isotropic thin elastic circular ring with conical section is studied and the equivalent circuit is obtained.Based on the equivalent circuit,the resonance frequency equation,the expression of resonance frequency and the angular displacement amplitude magnification are obtained.The solutions of the resonance frequency equation and the angular displacement amplitude magnification are solved by numerical method.The fitted curve of frequencies and external radiuses is analyzed,and the fitted curve between the angular displacement amplitude magnifications and the ratios of external diameter to inner diameter is established,the maximal angular displacement amplitude magnification is obtained from the fitted curve.It is showed that the theoretical values basically agree with the simulation results of finite element analysis,which suggests some rules for engineering design and calculations of annular plate concentrator with conical section.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第3期37-41,共5页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10674090)
关键词
锥形截面环状聚能器
扭转振动
等效电路
共振频率
角位移放大系数
annular plate concentrator with conical section
torsional vibration
equivalent circuit
resonance frequency
angular displacement amplitude magnification
