CAJ | 학술논문

基于单质体非线性系统的动力学模型,推导出系统在谐波锐共振(主共振频率比z=0.95～1.05)情况下,反向回转的双激振电动机在平衡奇点处的谐振同步条件.并通过数值仿真,研究在不同初始条件下,推导的谐振同步条件的正确性.理论推导过程和仿真试验结果及实际试验数据表明:在系统特性参数保持一定的情况下,单质体非线性系统谐波锐共振的谐振同步现象与系统的谐波锐共振阶次p/q、谐振同步阶次n/m有直接关系,且只有当参与激振的两电动机在符合一定的系统特性条件下的某p/q及n/m比值处,方可出现谐振同步现象,并且主振同步远比谐振同步容易实现.为进一步开发高效的非线性锐共振振动机,提供理论支持和试验依据.
기우단질체비선성계통적동역학모형,추도출계통재해파예공진(주공진빈솔비z=0.95～1.05)정황하,반향회전적쌍격진전동궤재평형기점처적해진동보조건.병통과수치방진,연구재불동초시조건하,추도적해진동보조건적정학성.이론추도과정화방진시험결과급실제시험수거표명:재계통특성삼수보지일정적정황하,단질체비선성계통해파예공진적해진동보현상여계통적해파예공진계차p/q、해진동보계차n/m유직접관계,차지유당삼여격진적량전동궤재부합일정적계통특성조건하적모p/q급n/m비치처,방가출현해진동보현상,병차주진동보원비해진동보용역실현.위진일보개발고효적비선성예공진진동궤,제공이론지지화시험의거.
Based on the dynamic model of single mass nonlinear system, the necessary conditions of harmonic oscillation synchronization motion are deduced, under harmonic wave sharp resonance (main resonant frequency ratio) condition and dual vibration exciters rotating in opposite direction are moving at the balance singular point. Using the numerical simulation, the valid of the harmonic oscillation synchronization conditions are investigated under different initial conditions. The process of theoretical derivation, consequence of simulation tests and actual tests data indicate that if the systemic characteristic parameter remain constant, the vibration synchronization phenomena of single-mass nonlinear system under harmonic wave sharp resonance condition have direct relationship with the harmonic wave sharp resonance order p/q, and harmonic oscillation synchronization order n/m. But the harmonic oscillation synchronization phenomena of the dual vibration exciters only occur at a certain radio of p/q and n/m which conform to the specific mechanical characteristic conditions of nonlinear system. And they also indicate that the realization of system main resonance synchronization is far easier than system harmonic oscillation synchronization. This research provides theoretical support and test basis for further exploitation of efficient and energy-saving nonlinear sharp resonance shaker.