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弱非线性惯性共振式振动机振幅的稳定性
Amplitude Stability of Inertial-Resonant,Weak-Nonlinear Vibrating Machines
【摘要】 本文在对弱非线性惯性共振式振动机进行非线性系统动力学分析的基础上,讨论了了其振幅的稳定性.导出了临界激振力的近似公式,并指出,响应曲线是否存在垂直切点直接影响工作点的确定.当 F(?)F_c 时,可选 Z=1.1~1.3;当 F≈F_c 时,可选 Z=0.75~O.85;当 F(?)F_c 时,可选 Z=0.85~0.9.这里 F,F_c 分別为激振力及其临界值;Z 为频率比.
【Abstract】 The amplitude stability of an inertial-resonant,weak-nonlinear vibratingmachine is analyzed dynamically,taking it as a nonlinear system.An approxima-te formula to calculate the critical exciting force is thus given.It is concludedthat whether there is a point on the response curve,where a perpendicular linewill be tangent to,influences directly the positioning for working points.LetF and F_c be the exciting force and its critical respectively and Z the ratio offrequencies,Z may be selected as(?)
【关键词】 振动;
弱非线性;
软特性;
激振力;
【Key words】 vibration; weak nonlinearity; soft cbaracteristic; exciting force;
【Key words】 vibration; weak nonlinearity; soft cbaracteristic; exciting force;
- 【文献出处】 东北工学院学报 , 编辑部邮箱 ,1987年04期
- 【被引频次】2
- 【下载频次】45