机床与液压
機床與液壓
궤상여액압
MACHINE TOOL & HYDRAULICS
2012年
6期
39-47
,共9页
PM控制器%开式静压导轨%非线性微分方程组%Laplace变换%动刚度
PM控製器%開式靜壓導軌%非線性微分方程組%Laplace變換%動剛度
PM공제기%개식정압도궤%비선성미분방정조%Laplace변환%동강도
PM flow Controller%open-type hydrostatic slide%nonlinear differential equations systems%laplace transform%dynamic stiffness
液体静压导轨系统实质是非线性系统,在分析其动态特性时通常被简化为线性系统,然而目前还未见关于对线性化导致的误差进行研究的文献.以PM控制器调节下的开式静压导轨为对象,推导了导轨关于压力、流量的非线性微分方程组.一方面,对导轨支承系统进行线性化处理,利用Laplace变换的方法获得了系统的传递函数,并绘制了系统的阶跃响应和脉冲响应曲线.另一方面,利用Simulink工具箱搭建了非线性系统的框图,并绘制了系统的阶跃响应和脉冲响应曲线.对比2种方法得到的响应曲线,线性化的系统与原系统的响应曲线差别很小,精度能够满足正常的工程需要,表明线性化处理对于PM控制器调节下的开式静压导轨是可行的.因此对静压导轨进行了动态性能分析,绘制了幅频、相频、动刚度曲线图.所做研究为线性化处理使用PM控制器的开式静压支承系统提供了理论依据,为工程实际提供了参考.
液體靜壓導軌繫統實質是非線性繫統,在分析其動態特性時通常被簡化為線性繫統,然而目前還未見關于對線性化導緻的誤差進行研究的文獻.以PM控製器調節下的開式靜壓導軌為對象,推導瞭導軌關于壓力、流量的非線性微分方程組.一方麵,對導軌支承繫統進行線性化處理,利用Laplace變換的方法穫得瞭繫統的傳遞函數,併繪製瞭繫統的階躍響應和脈遲響應麯線.另一方麵,利用Simulink工具箱搭建瞭非線性繫統的框圖,併繪製瞭繫統的階躍響應和脈遲響應麯線.對比2種方法得到的響應麯線,線性化的繫統與原繫統的響應麯線差彆很小,精度能夠滿足正常的工程需要,錶明線性化處理對于PM控製器調節下的開式靜壓導軌是可行的.因此對靜壓導軌進行瞭動態性能分析,繪製瞭幅頻、相頻、動剛度麯線圖.所做研究為線性化處理使用PM控製器的開式靜壓支承繫統提供瞭理論依據,為工程實際提供瞭參攷.
액체정압도궤계통실질시비선성계통,재분석기동태특성시통상피간화위선성계통,연이목전환미견관우대선성화도치적오차진행연구적문헌.이PM공제기조절하적개식정압도궤위대상,추도료도궤관우압력、류량적비선성미분방정조.일방면,대도궤지승계통진행선성화처리,이용Laplace변환적방법획득료계통적전체함수,병회제료계통적계약향응화맥충향응곡선.령일방면,이용Simulink공구상탑건료비선성계통적광도,병회제료계통적계약향응화맥충향응곡선.대비2충방법득도적향응곡선,선성화적계통여원계통적향응곡선차별흔소,정도능구만족정상적공정수요,표명선성화처리대우PM공제기조절하적개식정압도궤시가행적.인차대정압도궤진행료동태성능분석,회제료폭빈、상빈、동강도곡선도.소주연구위선성화처리사용PM공제기적개식정압지승계통제공료이론의거,위공정실제제공료삼고.
Hydrostatic guide system,which is actually nonlinear system,usually is considered as the linear system when the dynamic performance is concerned,however,the error via linearization transform has not been analyzed.Take the open-type hydrostatic guide adjusted by PM flow Controller as an example,the nonlinear differential equations of the pressure and flow are derived.One method to linearize the nonlinear differential equations by Laplace transform and the corresponding transfer functions are obtained,and the step response curves and the pulse response curves are presented in this paper.The other method for hydrostatic guide system is to use Simulink tool box to build the nonlinear system block diagram of the guide system.The corresponding step response curves and the pulse response curves are presented as well.Comparing the response curves from these two different methods,the difference between the results are very small,and the precision of these two methods can meet the demand of the practical engineering application,and the linear treatment is valid for the open-type hydrostatic slide adjusted by the PM controller.Based on these methods,the dynamic performance on the slide is analyzed,and the amplitude-frequency curves,the phase-frequency curves,and the dynamic stiffness-frequency curves are presented.The present study provides a theoretical basis for the open-type hydrostatic slide based on PM flow Controller,and shows feasibility for the practical engineering applications.
