多体系统离散时间传递矩阵法及其在舰炮动力学中的应用
|
摘要
本文结合数值积分法，将不适合于时变、非线性系统的经典传递矩阵法推广到非线性多体系统动力学，形成了多体系统离散时间传递矩阵法的基本理论。并将其成功应用于刚弹耦合舰炮多体系统发射动力学计算。
与其它多体系统动力学方法相比，多体系统离散时间传递矩阵法具有如下特点：1 无需建立总体系统动力学方程，因而应用和计算方便。2 可事先建立各种元件的传递矩阵库，并象拼积木一样根据实际多体系统结构用元件的传递矩阵拼装得到系统的传递矩阵，方便而灵活地计算多体系统的动力学特性。3 能综合分析计算线性时不变、时变、非线性多体系统动力学问题。
By combining the numerical integral method, the conventional transfer matrix method that can not be applied in the time varying or nonlinear problems is expanded into the nonlinear multibody system dynamics in this paper. The basic theory of discrete time transfer matrix method (DT-TMM) of multibody system is proposed primarily. And this method is applied successfully in the launch dynamics of the shipboard gun multibody system including rigid body and elastic body.
In contrast with other conventional multibody system dynamics method, DT-TMM has following characteristics: 1. The overall dynamic equations for a multibody system are not necessary to establish, and the application and computing are done conveniently. 2. The transfer matrix library of multifarious elements can be established in advance. According to the structure of the multibody system, the overall system transfer matrix can be got like fitting the building block. The dynamic characteristics of the multibody system can be gotten easily and conveniently. 3. DT-TMM can be applied in the linear time invariant, time varying or nonlinear multibody system dynamic problems.
与其它多体系统动力学方法相比，多体系统离散时间传递矩阵法具有如下特点：1 无需建立总体系统动力学方程，因而应用和计算方便。2 可事先建立各种元件的传递矩阵库，并象拼积木一样根据实际多体系统结构用元件的传递矩阵拼装得到系统的传递矩阵，方便而灵活地计算多体系统的动力学特性。3 能综合分析计算线性时不变、时变、非线性多体系统动力学问题。
By combining the numerical integral method, the conventional transfer matrix method that can not be applied in the time varying or nonlinear problems is expanded into the nonlinear multibody system dynamics in this paper. The basic theory of discrete time transfer matrix method (DT-TMM) of multibody system is proposed primarily. And this method is applied successfully in the launch dynamics of the shipboard gun multibody system including rigid body and elastic body.
In contrast with other conventional multibody system dynamics method, DT-TMM has following characteristics: 1. The overall dynamic equations for a multibody system are not necessary to establish, and the application and computing are done conveniently. 2. The transfer matrix library of multifarious elements can be established in advance. According to the structure of the multibody system, the overall system transfer matrix can be got like fitting the building block. The dynamic characteristics of the multibody system can be gotten easily and conveniently. 3. DT-TMM can be applied in the linear time invariant, time varying or nonlinear multibody system dynamic problems.
引文
[1] Xiaoting Rui, Yuqi Lu, Ling Pan, and Wenguang Lu. Discrete time transfer matrix method for mutibody system dynamics. EUROMOECH COLLOQUIUM 404. 1999: 93-108
[2] 芮筱亭，陆毓琪．多体系统动力学离散时间传递矩阵法．第六届全国一般力学学术会议论文集．1998：279-283
[3] S. Kumar and T. S. Sankar. A new transfer matrix method for response analysis of large dynamic systems. Computers & structures. 1986(23): 545-552
[4] 芮筱亭．多体系统发射动力学．北京：国防工业出版社．1995
[5] 芮筱亭，杨启仁．弹丸发射过程理论．南京：东南大学出版社，1992
[6] K. Subbaraj and M. A. Dokainish. A survey of direct time-integration method in computation structural dynamics-Ⅰ. Computers & structures. 1989: 1371-11386
[7] M. A. Dokainish and K. Subbaraj. A survey of direct time-integration method in computation structural dynamics-Ⅱ. Computers & structures. 1989: 1387-1401
[8] 肖世富．一类刚-柔耦合系统的建模及其稳定性研究．多体系统动力学与控制．1996：10-16
[9] M.IURA. Dynamic analysis of finitely stretched and rotation three-dimensional space-curved beams. Computer & structure. 1988:875-889
[10] 朱位秋．一维格子结构分析的传递矩阵法．应用力学学报．1991：88-97
[11] Z-E. BOUTAGHOU. Continuous/discrete modeling and analysis of elastic planar multibody system. Computer & structure. 1991: 605-613
[12] 章定国．“分路”方法在树系统动力学分析中的应用．力学学报．1994：341-346
[13] J. C. Simo. On the dynamics of flexible beams under large overall motions-the plane. Journal of applied mechanics. 1986:849-856
[14] 芮筱亭，陆毓琪．空间转动梁的横向振动．工程力学．1991(2)：380-390
[15] 王营，张兴准．系统运动对弹性梁固有频率的影响．振动与冲击．1990(2)：56-65
[16] 芮筱亭．含有多分支的多体系统振动的传递矩阵法．振动与冲击．1993(7)
[17] L. A. Shultzt and V. R. Murthy. Direct application of transfer matrix method to solve nonlinear autonomous boundary value problems with multiple branches. Computer & structure. 439-452
[18] P.K. Chartterjee, T. K. Datta AND C. S. Surana. Vibration of continuous bridges under moving vehicles. Journal of sound and vibration. 1994:619-632
[19] B. Yang. Linear vibration of a coupled string-rigid bar system. Proceedings of the international conference on vibration engineering
[20] 陆毓琪，芮筱亭，刘正福，黄葆华．耦合多体系统动力响应计算．宇航学报．1998(1)：44-48
[21] 芮筱亭，党双喜，张金奎，陆毓琪．多体系统传递矩阵法在火炮动力学中的应用．力学与实践．1995(4)：42-44
[22] Lu S.Y. Transfer matrix method for nonlinear vibration analysis of rotor-bearing system. ASME Des Eng Div. 75-83
[23] Henrgl. L. and Arthor. P. B. Dynamics of a projectile in a concentric flexible tube. 1983.
[24] Rui Xiaoting, Zeng Shilun, Qin Yingxiao. Vibration of rotating beam with load and mass. ARMAMONTARLISINICA. 1994(4)
[25] 张炳根．二阶常微分方程的全局稳定性．数学学报．1959
[26] 刘又午．多体系统理论在机构运动分析中的应用．机械工程学报．1993
[27] 郑兆昌．机械振动(中册)．北京：机械工业出版社，1986
[28] Kane．动力学理论与应用．北京：清华大学出版社．1988
[29] Kane．航天飞行器动力学．北京：科学出版社．1988
[30] 维藤伯格．多刚体系统动力学．北京：北京航空学院出版社．1986
[31] 刘延柱．多刚体系统动力学．北京：高等教育出版社．1989
[32] 陆佑方．柔性多体系统动力学．北京：高等教育出版社．1996
[33] 覃正．多体系统压缩建模．北京：科学出版社．2000
[34] E.C. Pestel and F. A. Leckie. Matrix methods in elastomechanics. New York, USA: MC-Graw-Hill book Company. 1963
[35] S．铁摩辛柯．工程中的振动问题．北京：人民铁道出版社．1978
[36] 理论力学．北京：人民教育出版社．1981
[37] 朱照宣．理论力学．北京：北京大学出版社．1982
[38] 戴成勋．自动武器设计新编．北京：国防工业出版社．1990
[39] 王靖君．火炮概论．北京：兵器工业出版社．1992
[40] 宋丕极．枪炮与火箭外弹道学．北京：兵器工业出版社．1993
[41] 浦发．外弹道学．北京：国防工业出版社．1989
[42] 李庆扬，关治，白峰杉．数值计算原理．北京：清华大学出版社．2000
[43] 刘德贵，费景高．动力学系统数值仿真算法．北京：科学出版社．2000
[44] 袁兆鼎，费景高，刘德贵．刚性常微分方程初值问题的数值解法．北京：科学出版社．1987
[45] 李庆扬．数值分析．湖北武汉：华中理工大学出版社．1982
[46] 冯康．数值计算方法．国防工业出版社．1978年12
[47] 廖晓昕．动力系统的稳定性理论和应用．北京：国防工业出版社．2000
[48] 许淞庆．常微分方程稳定性理论．上海：上海科学技术出版社．1962
[49] 舒仲周．运动稳定性。成都：西南交通大学出版社．1989
[50] 王照林．运动稳定性及其应用．北京：高教出版社．1992
[51] 沐定夷，湖鸿利．数值分析．上海：上海交通大学出版社．1995
[52] 曹立凡，史万明．数值分析．北京：北京工业学院出版社．1986
[53] 康新中，吴三灵．火炮系统动力学．北京：国防工业出版社．1999
[54] R.柯朗．数学物理方法．北京：科学出版社．1977
[55] 钱焕延．计算方法．上海：上海交通大学出版社．1988
[56] 徐士良．FORTRAN常用算法程序集．北京：清华大学出版社，1995
[57] W.T.汤姆逊，胡宗武译．振动理论及其应用．北京：煤炭工业出版社，1980
[58] 金志明，袁亚雄．内弹道气动力原理．北京：国防工业出版社．1983．
[59] 倪振华．振动力学．西安：西安交通大学出版社出版．1989
[60] 臧建华，方蕴文．振动分析基础．成都：电子科技大学出版社出版，1990
[61] 张准，汪凤泉．振动分析．南京：东南大学出版社．1991
[62] 张国育．高技术兵器纵览．北京：宇航出版社．1995．
[63] 黄文虎，邵成勋．多柔体系统动力学．北京：科学出版社．1996
[64] 王连荣，张佩勤．火炮内弹道计算手册．北京：国防工业出版社．1987
[65] Meirotch. Leonarrd. Elements of vibration analysis. New York, USA: Mc-Graw-Hill Book Company. 1975.
[66] Dr.Eduard C. Pestel. Matrix Method in Elastomechanics. New York, USA: MC-Graw-Hill book Company. 1963
[67] 李体然．1990年国外国防高技术发展跟踪研究．北京：国防科技信息中心．1988
[68] 许忠敬．现代军事技术知识手册．北京：军事科学出版社．1990
[69] 洪昌仅．兵器工业高新技术．北京：兵器工业出版社．1994
[2] 芮筱亭，陆毓琪．多体系统动力学离散时间传递矩阵法．第六届全国一般力学学术会议论文集．1998：279-283
[3] S. Kumar and T. S. Sankar. A new transfer matrix method for response analysis of large dynamic systems. Computers & structures. 1986(23): 545-552
[4] 芮筱亭．多体系统发射动力学．北京：国防工业出版社．1995
[5] 芮筱亭，杨启仁．弹丸发射过程理论．南京：东南大学出版社，1992
[6] K. Subbaraj and M. A. Dokainish. A survey of direct time-integration method in computation structural dynamics-Ⅰ. Computers & structures. 1989: 1371-11386
[7] M. A. Dokainish and K. Subbaraj. A survey of direct time-integration method in computation structural dynamics-Ⅱ. Computers & structures. 1989: 1387-1401
[8] 肖世富．一类刚-柔耦合系统的建模及其稳定性研究．多体系统动力学与控制．1996：10-16
[9] M.IURA. Dynamic analysis of finitely stretched and rotation three-dimensional space-curved beams. Computer & structure. 1988:875-889
[10] 朱位秋．一维格子结构分析的传递矩阵法．应用力学学报．1991：88-97
[11] Z-E. BOUTAGHOU. Continuous/discrete modeling and analysis of elastic planar multibody system. Computer & structure. 1991: 605-613
[12] 章定国．“分路”方法在树系统动力学分析中的应用．力学学报．1994：341-346
[13] J. C. Simo. On the dynamics of flexible beams under large overall motions-the plane. Journal of applied mechanics. 1986:849-856
[14] 芮筱亭，陆毓琪．空间转动梁的横向振动．工程力学．1991(2)：380-390
[15] 王营，张兴准．系统运动对弹性梁固有频率的影响．振动与冲击．1990(2)：56-65
[16] 芮筱亭．含有多分支的多体系统振动的传递矩阵法．振动与冲击．1993(7)
[17] L. A. Shultzt and V. R. Murthy. Direct application of transfer matrix method to solve nonlinear autonomous boundary value problems with multiple branches. Computer & structure. 439-452
[18] P.K. Chartterjee, T. K. Datta AND C. S. Surana. Vibration of continuous bridges under moving vehicles. Journal of sound and vibration. 1994:619-632
[19] B. Yang. Linear vibration of a coupled string-rigid bar system. Proceedings of the international conference on vibration engineering
[20] 陆毓琪，芮筱亭，刘正福，黄葆华．耦合多体系统动力响应计算．宇航学报．1998(1)：44-48
[21] 芮筱亭，党双喜，张金奎，陆毓琪．多体系统传递矩阵法在火炮动力学中的应用．力学与实践．1995(4)：42-44
[22] Lu S.Y. Transfer matrix method for nonlinear vibration analysis of rotor-bearing system. ASME Des Eng Div. 75-83
[23] Henrgl. L. and Arthor. P. B. Dynamics of a projectile in a concentric flexible tube. 1983.
[24] Rui Xiaoting, Zeng Shilun, Qin Yingxiao. Vibration of rotating beam with load and mass. ARMAMONTARLISINICA. 1994(4)
[25] 张炳根．二阶常微分方程的全局稳定性．数学学报．1959
[26] 刘又午．多体系统理论在机构运动分析中的应用．机械工程学报．1993
[27] 郑兆昌．机械振动(中册)．北京：机械工业出版社，1986
[28] Kane．动力学理论与应用．北京：清华大学出版社．1988
[29] Kane．航天飞行器动力学．北京：科学出版社．1988
[30] 维藤伯格．多刚体系统动力学．北京：北京航空学院出版社．1986
[31] 刘延柱．多刚体系统动力学．北京：高等教育出版社．1989
[32] 陆佑方．柔性多体系统动力学．北京：高等教育出版社．1996
[33] 覃正．多体系统压缩建模．北京：科学出版社．2000
[34] E.C. Pestel and F. A. Leckie. Matrix methods in elastomechanics. New York, USA: MC-Graw-Hill book Company. 1963
[35] S．铁摩辛柯．工程中的振动问题．北京：人民铁道出版社．1978
[36] 理论力学．北京：人民教育出版社．1981
[37] 朱照宣．理论力学．北京：北京大学出版社．1982
[38] 戴成勋．自动武器设计新编．北京：国防工业出版社．1990
[39] 王靖君．火炮概论．北京：兵器工业出版社．1992
[40] 宋丕极．枪炮与火箭外弹道学．北京：兵器工业出版社．1993
[41] 浦发．外弹道学．北京：国防工业出版社．1989
[42] 李庆扬，关治，白峰杉．数值计算原理．北京：清华大学出版社．2000
[43] 刘德贵，费景高．动力学系统数值仿真算法．北京：科学出版社．2000
[44] 袁兆鼎，费景高，刘德贵．刚性常微分方程初值问题的数值解法．北京：科学出版社．1987
[45] 李庆扬．数值分析．湖北武汉：华中理工大学出版社．1982
[46] 冯康．数值计算方法．国防工业出版社．1978年12
[47] 廖晓昕．动力系统的稳定性理论和应用．北京：国防工业出版社．2000
[48] 许淞庆．常微分方程稳定性理论．上海：上海科学技术出版社．1962
[49] 舒仲周．运动稳定性。成都：西南交通大学出版社．1989
[50] 王照林．运动稳定性及其应用．北京：高教出版社．1992
[51] 沐定夷，湖鸿利．数值分析．上海：上海交通大学出版社．1995
[52] 曹立凡，史万明．数值分析．北京：北京工业学院出版社．1986
[53] 康新中，吴三灵．火炮系统动力学．北京：国防工业出版社．1999
[54] R.柯朗．数学物理方法．北京：科学出版社．1977
[55] 钱焕延．计算方法．上海：上海交通大学出版社．1988
[56] 徐士良．FORTRAN常用算法程序集．北京：清华大学出版社，1995
[57] W.T.汤姆逊，胡宗武译．振动理论及其应用．北京：煤炭工业出版社，1980
[58] 金志明，袁亚雄．内弹道气动力原理．北京：国防工业出版社．1983．
[59] 倪振华．振动力学．西安：西安交通大学出版社出版．1989
[60] 臧建华，方蕴文．振动分析基础．成都：电子科技大学出版社出版，1990
[61] 张准，汪凤泉．振动分析．南京：东南大学出版社．1991
[62] 张国育．高技术兵器纵览．北京：宇航出版社．1995．
[63] 黄文虎，邵成勋．多柔体系统动力学．北京：科学出版社．1996
[64] 王连荣，张佩勤．火炮内弹道计算手册．北京：国防工业出版社．1987
[65] Meirotch. Leonarrd. Elements of vibration analysis. New York, USA: Mc-Graw-Hill Book Company. 1975.
[66] Dr.Eduard C. Pestel. Matrix Method in Elastomechanics. New York, USA: MC-Graw-Hill book Company. 1963
[67] 李体然．1990年国外国防高技术发展跟踪研究．北京：国防科技信息中心．1988
[68] 许忠敬．现代军事技术知识手册．北京：军事科学出版社．1990
[69] 洪昌仅．兵器工业高新技术．北京：兵器工业出版社．1994