东北大学学报(自然科学版)
東北大學學報(自然科學版)
동북대학학보(자연과학판)
JOURNAL OF NORTHEASTERN UNIVERSITY(NATURAL SCIENCE)
2015年
8期
1155-1159
,共5页
张义民%王昊%曹辉%杨周
張義民%王昊%曹輝%楊週
장의민%왕호%조휘%양주
主轴系统%有限元法%神经网络%可靠度%可靠性灵敏度
主軸繫統%有限元法%神經網絡%可靠度%可靠性靈敏度
주축계통%유한원법%신경망락%가고도%가고성령민도
spindle system%finite element method%neural network%reliability%reliability sensitivity
基于有限元法参数化建立主轴系统三维有限元模型,将轴承简化为弹性支撑。考虑皮带轮和卡盘的影响,对整个主轴系统进行模态分析,得到主轴系统的前八阶固有频率及固有振型。进行临界转速分析,将工作转速与非零最低阶频率对应的转速进行比较,验证主轴设计的合理性。利用ISIGHT集成ANSYS 进行正交试验设计并计算非零最低阶固有频率,将有公差范围要求的轴段的直径和长度以及基本物理参数作为随机变量,采用BP神经网络拟合主轴系统非零最低阶固有频率与随机变量之间的关系。利用一次二阶矩法计算主轴系统在特定转速下的可靠度并求解各随机参数的可靠性灵敏度。
基于有限元法參數化建立主軸繫統三維有限元模型,將軸承簡化為彈性支撐。攷慮皮帶輪和卡盤的影響,對整箇主軸繫統進行模態分析,得到主軸繫統的前八階固有頻率及固有振型。進行臨界轉速分析,將工作轉速與非零最低階頻率對應的轉速進行比較,驗證主軸設計的閤理性。利用ISIGHT集成ANSYS 進行正交試驗設計併計算非零最低階固有頻率,將有公差範圍要求的軸段的直徑和長度以及基本物理參數作為隨機變量,採用BP神經網絡擬閤主軸繫統非零最低階固有頻率與隨機變量之間的關繫。利用一次二階矩法計算主軸繫統在特定轉速下的可靠度併求解各隨機參數的可靠性靈敏度。
기우유한원법삼수화건립주축계통삼유유한원모형,장축승간화위탄성지탱。고필피대륜화잡반적영향,대정개주축계통진행모태분석,득도주축계통적전팔계고유빈솔급고유진형。진행림계전속분석,장공작전속여비령최저계빈솔대응적전속진행비교,험증주축설계적합이성。이용ISIGHT집성ANSYS 진행정교시험설계병계산비령최저계고유빈솔,장유공차범위요구적축단적직경화장도이급기본물리삼수작위수궤변량,채용BP신경망락의합주축계통비령최저계고유빈솔여수궤변량지간적관계。이용일차이계구법계산주축계통재특정전속하적가고도병구해각수궤삼수적가고성령민도。
Based on the finite element method,we created a parametric three-dimension finite element model for spindle system and simplified the bearing as elastic support.Taken pulley and chuck into consideration,modal analysis of the entire system was conducted,thus the natural frequencies of the first eight vibrations and the corresponding spindle vibration modes were acquired.Critical speed of rotation was analyzed.We compared the working speed with rotation speed of the lowest non-zero set of frequency,hereby the rationality of design was verified.The ISIGHT integrated with ANSYS was used in designing orthogonal experiment and in calculating the lowest non-zero set of frequency.Diameters and length with tolerance requirements,and basic physical parameters considered as random variables,the BP neural network fitting method was used to get the relationship between the lowest non-zero set of frequency and random variables. The first order second moment (FOSM) method was used to calculate the spindle system reliability with specific rotation speed and reliability sensitivity of random variables.