卷筒纸胶印机纸带振动问题的研究
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摘要
现代化印刷所追求的主要目标是印刷的高速度和印品的高质量。而在卷筒纸印刷中影响印刷速度和印品质量的主要因素是纸带的振动。本课题在研究卷筒纸胶印机输纸过程中纸带振动的基础上,得出其振动规律,从而有针对性地研究问题,得到新的减振方法,以期能够更好地控制纸带张力,从而保证印品质量。
课题主要内容及创新点归纳如下:
(1)将卷筒纸胶印机的纸带模拟为薄膜,分析其受力情况,运用D′Alembert原理,建立其运动微分方程,并运用解析法求解其无量纲振型微分方程,采用微分求积法分析纸带的横向振动特性及稳定性问题。
(2)分析卷筒纸胶印机所采用的浮动辊装置,设计一满足要求的圆柱压缩螺旋弹簧,并采用空气弹簧进行新型减振机构设计。
(3)分析空气弹簧特性,验证新型减振装置的合理性。
(4)利用仿真软件对设计方案进行仿真验证。仿真结果表明,所设计的带空气弹簧的新型减振装置有效地减小了纸带振动。
本课题从运动学、动力学及振动等方面对轴向运动纸带作了较为完整的分析与研究,并且利用空气弹簧开发出新型的减振装置,不仅为控制纸带张力提高印品质量做出了贡献,而且为更好地保持恒定的张力提供了新的方法和思路。
The main target of modern printing is high speed and high quality. But in the process of printing ,the main factor that affects printing speed and quality is paper's vibration .The principle of paper's vibration has been worked out on the basis of paper's vibration in the process of printing ,so that the new damping method has also been developed. By the new way ,paper's tension will be controlled well and printing's quality will also be improved .The main contents and innovations items are as follows:
1 .The paper in the process of printing has been simulated film .The power that the film was received has also been analysized .Based on the D'Alembert elements ,the differential eguation has been established and worked out by analytic means . Finally, the paper's transverse vibration and stability has also been referred.
2.The dancer roll used by web offset printing in order to reduce paper's vibration has been analysized and a clutch-pressing spring has also been devised. A new damping setting with air spring has been designed.
3.The air spring's characteristic has been analysized ,and the rationality of the new damping setting has also been validated.
4.Based on the simulink toolbox in Matlab softwares emulational system of the new setting has been developed .The emulational results show that the new damping setting with air spring can reduce the paper's vibration effectively.
In this thesis , the paper's vibration has been analysized completed in many respects , including kinematics, dynamics, vibration and so on .The new setting with air spring has also been designed ,which not only contribute to controlling paper's tention ,and improving printing's quality ,but also offer new means and notion fro keeping invariable tension.
课题主要内容及创新点归纳如下:
(1)将卷筒纸胶印机的纸带模拟为薄膜,分析其受力情况,运用D′Alembert原理,建立其运动微分方程,并运用解析法求解其无量纲振型微分方程,采用微分求积法分析纸带的横向振动特性及稳定性问题。
(2)分析卷筒纸胶印机所采用的浮动辊装置,设计一满足要求的圆柱压缩螺旋弹簧,并采用空气弹簧进行新型减振机构设计。
(3)分析空气弹簧特性,验证新型减振装置的合理性。
(4)利用仿真软件对设计方案进行仿真验证。仿真结果表明,所设计的带空气弹簧的新型减振装置有效地减小了纸带振动。
本课题从运动学、动力学及振动等方面对轴向运动纸带作了较为完整的分析与研究,并且利用空气弹簧开发出新型的减振装置,不仅为控制纸带张力提高印品质量做出了贡献,而且为更好地保持恒定的张力提供了新的方法和思路。
The main target of modern printing is high speed and high quality. But in the process of printing ,the main factor that affects printing speed and quality is paper's vibration .The principle of paper's vibration has been worked out on the basis of paper's vibration in the process of printing ,so that the new damping method has also been developed. By the new way ,paper's tension will be controlled well and printing's quality will also be improved .The main contents and innovations items are as follows:
1 .The paper in the process of printing has been simulated film .The power that the film was received has also been analysized .Based on the D'Alembert elements ,the differential eguation has been established and worked out by analytic means . Finally, the paper's transverse vibration and stability has also been referred.
2.The dancer roll used by web offset printing in order to reduce paper's vibration has been analysized and a clutch-pressing spring has also been devised. A new damping setting with air spring has been designed.
3.The air spring's characteristic has been analysized ,and the rationality of the new damping setting has also been validated.
4.Based on the simulink toolbox in Matlab softwares emulational system of the new setting has been developed .The emulational results show that the new damping setting with air spring can reduce the paper's vibration effectively.
In this thesis , the paper's vibration has been analysized completed in many respects , including kinematics, dynamics, vibration and so on .The new setting with air spring has also been designed ,which not only contribute to controlling paper's tention ,and improving printing's quality ,but also offer new means and notion fro keeping invariable tension.
引文
[1]齐福斌.卷筒纸胶印机[M].北京:印刷工业出版社,2006
[2]Mazumdar J A.Review of approximate methods for determining the vibrational modes of membranes.The Shock and Vibration Digest,1975,7:75-88
[3]Spence J P,Horgan C O.Bounds on natural frequencies of composite circular membranes:integral equation method.Journal of Sound and Vibration,1983,87:71-81
[4]Laura P A A,Ercoli L et al.Transverse vibration of composite membranes of arbitrary boundary shape.Journal of Sound and Vibration,1985,101:299-306
[5]Masad J A.Free vibrations a non-homogeneous rectangular membrane.Journal of Sound and Vibration,1996,195:674-678
[6]Laura P A A,Rossi R E et al.Fundamental frequency of non-homogeneous rectangular membranes.Journal of Sound and Vibration,1997,204:373-376
[7]Changho Shin,Wonsuk Kim,Jintai Chung.Free in-plane vibration of an axially moving membrane,2004,272:137- 154
[8]徐芝纶.弹性力学[M].北京:高等教育出版社,1987
[9]陈绎勤.噪声与振动的控制[M].北京:中国铁道出版社,1981
[10](德)P·C·米勒 W·Q·席伦 著 曾子平 向豪英 等译 线性振动[M].天津:天津大学出版社,1989
[11]曲庆璋,章权,季求知,梁兴复.弹性板理论[M].青岛:人民交通出版社,2000
[12]方同,薛璞.振动理论及应用[M].西安:西北工业大学出版社,1998
[13]刘延柱,陈文良,陈立群.振动力学[M].北京:高等教育出版社,1998
[14]Zu J W,Zhang L.Two-to-one internal resonance in serpentine belt drive systems.Int J Nonlinear Sci Num Simu,2000,1(3):187-198
[15]沈欢欢,梁在中,许履瑚.实用数学手册,科学出版社,1992
[16]倪振华.振动力学[M].西安:西安交通大学出版社,1989
[17]周叮.两对边简支中间有任意多个单向弹性线支矩形板横向振动的一个解析解法[J]。应用数学和力学,1996,8(17):729-734
[18]周叮.粘弹性线支矩形板横向振动特性的一个精确解析解法[J]。应用力学学报,1995,3(12):111-116
[19]Bellman R E,CastiJ.Differential quadrature and long-term integration.J.Math.Anal.Appl.,1971,34:235-238
[20]王永亮.微分求积法和微分求积单元法--原理与应用[D]。南京航空航天大学博士学位论文,2002
[21]王鑫伟.微分求积法在结构力学中的应用[J]。力学进展,1995,2(25):232-240
[22]顾海明,周勇军.机械振动理论与应用[M].南京:东南大学出版社,2007
[23]Wickert J A,Mote C D Jr.Current research on the vibration and stability of axially moving materials.Shock vibration digest,1988,20(5):3-13
[24]陈力群.轴向运动弦线的纵向振动及其控制[J]。力学进展,2001,4(31):535-546
[25]Sack R A.Transverse oscillations in traveling strings.British Journal of Applied Physical,1954,2:224-226
[26]Schaier G S.The vibration of a rotating circular strings subject to a freed elastic restraint.Journal of Sound and Vibration,1984,92(1):11- 19
[27]Wicker J A.Response solutions for the vibration of a traveling string on an elastic foundation.Journal of Vibration and Acoustics,1994,116(1):137- 139
[28]Zhu W D,Mote C D Jr.Propagation of boundary disturbances in an axially moving strip in contact with rind and flexible constraints.Journal of Applied Mechanics,1995,62(4):873-879
[29]Zhang L,Zu J W.Modal analysis of serpentine belt drive systems.Journal of Sound and Vibration,1999,222:259-279
[30]陈立群.平带驱动系统振动分析研究进展[J].力学与实践,2001,23(4):8-12
[31]张海燕.卷筒纸胶印机[M].北京:化学工业出版社,2006
[32]机械设计手册联合编写组.机械设计手册[M].北京:化学工业出版社,1982
[33]John Lewis.Car spring[P].US Patent:No.4965,1847-02- 10.
[34]Bancroft George.pneumatic cushion for vehicle[P].US Patent:No.980138,1910-12-27
[35]Gieck Hack.Ride on air:A history of air suspension[M].New york:SAE Inc,1999
[36]马从兵.凌志轿车电子调节空气悬架系统的检修[J].汽车维修,2006.6
[37]李蒂,付茂海,黄运华.空气弹簧动力学特性参数分析[J].西南交通大学学报,2003,38(3):276-281
[38]盖玉先,董申,李旦等.超精密机床的振动混合控制[J].中国机械工程,2000.11(3):289-291
[39]刘增华,李蒂.空气弹簧及其在轨道车辆上的应用[J].电力机车与城轨车辆,2003,26(6):24-27
[40]张阿舟,姚起航等.振动控制工程[M].北京:航空工业出版社,1989
[41]陈杰.MATLAB宝典[M].北京:电子工业出版社,2007
[42]高成.MATLAB图像处理与应用[M].北京:国防工业出版社
[43]郭荣生.空气弹簧悬挂的振动特性和参数计算[J].铁道车辆,1992,30(5):1-6:(6):8-12
[44]郭荣生.空气弹簧讲义[Z].上海:同济大学铁道与城市轨道交通研究院,2000
[45]薛定宇,陈阳泉.基于MATLAB/Simulink的系统仿真技术与应用[M].北京:清华大学出版社, 2003
[46]张亮等.MATLAB7.X系统建模与仿真[M].北京:人民邮电出版社,2006
[2]Mazumdar J A.Review of approximate methods for determining the vibrational modes of membranes.The Shock and Vibration Digest,1975,7:75-88
[3]Spence J P,Horgan C O.Bounds on natural frequencies of composite circular membranes:integral equation method.Journal of Sound and Vibration,1983,87:71-81
[4]Laura P A A,Ercoli L et al.Transverse vibration of composite membranes of arbitrary boundary shape.Journal of Sound and Vibration,1985,101:299-306
[5]Masad J A.Free vibrations a non-homogeneous rectangular membrane.Journal of Sound and Vibration,1996,195:674-678
[6]Laura P A A,Rossi R E et al.Fundamental frequency of non-homogeneous rectangular membranes.Journal of Sound and Vibration,1997,204:373-376
[7]Changho Shin,Wonsuk Kim,Jintai Chung.Free in-plane vibration of an axially moving membrane,2004,272:137- 154
[8]徐芝纶.弹性力学[M].北京:高等教育出版社,1987
[9]陈绎勤.噪声与振动的控制[M].北京:中国铁道出版社,1981
[10](德)P·C·米勒 W·Q·席伦 著 曾子平 向豪英 等译 线性振动[M].天津:天津大学出版社,1989
[11]曲庆璋,章权,季求知,梁兴复.弹性板理论[M].青岛:人民交通出版社,2000
[12]方同,薛璞.振动理论及应用[M].西安:西北工业大学出版社,1998
[13]刘延柱,陈文良,陈立群.振动力学[M].北京:高等教育出版社,1998
[14]Zu J W,Zhang L.Two-to-one internal resonance in serpentine belt drive systems.Int J Nonlinear Sci Num Simu,2000,1(3):187-198
[15]沈欢欢,梁在中,许履瑚.实用数学手册,科学出版社,1992
[16]倪振华.振动力学[M].西安:西安交通大学出版社,1989
[17]周叮.两对边简支中间有任意多个单向弹性线支矩形板横向振动的一个解析解法[J]。应用数学和力学,1996,8(17):729-734
[18]周叮.粘弹性线支矩形板横向振动特性的一个精确解析解法[J]。应用力学学报,1995,3(12):111-116
[19]Bellman R E,CastiJ.Differential quadrature and long-term integration.J.Math.Anal.Appl.,1971,34:235-238
[20]王永亮.微分求积法和微分求积单元法--原理与应用[D]。南京航空航天大学博士学位论文,2002
[21]王鑫伟.微分求积法在结构力学中的应用[J]。力学进展,1995,2(25):232-240
[22]顾海明,周勇军.机械振动理论与应用[M].南京:东南大学出版社,2007
[23]Wickert J A,Mote C D Jr.Current research on the vibration and stability of axially moving materials.Shock vibration digest,1988,20(5):3-13
[24]陈力群.轴向运动弦线的纵向振动及其控制[J]。力学进展,2001,4(31):535-546
[25]Sack R A.Transverse oscillations in traveling strings.British Journal of Applied Physical,1954,2:224-226
[26]Schaier G S.The vibration of a rotating circular strings subject to a freed elastic restraint.Journal of Sound and Vibration,1984,92(1):11- 19
[27]Wicker J A.Response solutions for the vibration of a traveling string on an elastic foundation.Journal of Vibration and Acoustics,1994,116(1):137- 139
[28]Zhu W D,Mote C D Jr.Propagation of boundary disturbances in an axially moving strip in contact with rind and flexible constraints.Journal of Applied Mechanics,1995,62(4):873-879
[29]Zhang L,Zu J W.Modal analysis of serpentine belt drive systems.Journal of Sound and Vibration,1999,222:259-279
[30]陈立群.平带驱动系统振动分析研究进展[J].力学与实践,2001,23(4):8-12
[31]张海燕.卷筒纸胶印机[M].北京:化学工业出版社,2006
[32]机械设计手册联合编写组.机械设计手册[M].北京:化学工业出版社,1982
[33]John Lewis.Car spring[P].US Patent:No.4965,1847-02- 10.
[34]Bancroft George.pneumatic cushion for vehicle[P].US Patent:No.980138,1910-12-27
[35]Gieck Hack.Ride on air:A history of air suspension[M].New york:SAE Inc,1999
[36]马从兵.凌志轿车电子调节空气悬架系统的检修[J].汽车维修,2006.6
[37]李蒂,付茂海,黄运华.空气弹簧动力学特性参数分析[J].西南交通大学学报,2003,38(3):276-281
[38]盖玉先,董申,李旦等.超精密机床的振动混合控制[J].中国机械工程,2000.11(3):289-291
[39]刘增华,李蒂.空气弹簧及其在轨道车辆上的应用[J].电力机车与城轨车辆,2003,26(6):24-27
[40]张阿舟,姚起航等.振动控制工程[M].北京:航空工业出版社,1989
[41]陈杰.MATLAB宝典[M].北京:电子工业出版社,2007
[42]高成.MATLAB图像处理与应用[M].北京:国防工业出版社
[43]郭荣生.空气弹簧悬挂的振动特性和参数计算[J].铁道车辆,1992,30(5):1-6:(6):8-12
[44]郭荣生.空气弹簧讲义[Z].上海:同济大学铁道与城市轨道交通研究院,2000
[45]薛定宇,陈阳泉.基于MATLAB/Simulink的系统仿真技术与应用[M].北京:清华大学出版社, 2003
[46]张亮等.MATLAB7.X系统建模与仿真[M].北京:人民邮电出版社,2006