基于动量守恒的变质量系统振动分析方法  

VIBRATION ANALYSIS METHOD FOR TIME-VARYING MASS SYSTEMS BASED ON MOMENTUM CONSERVATION

作　　者：赵艳青[1] 宋伟志[2] 李洪[3] 孙丽[1] 高强[4] Zhao Yanqing Song Weizhi Li Hong Sun Li Gao Qiang(Department of Traffic Engineering, Huaiyin Institute of Technology, Huaian 223003, China Department of Mechanical, Luoyan9 Institute of Science and Technology, Luoyang 471000, China Automobile Management College of PLA, Bengbu 233011, China School of Automobile, Chang＇an University, Xi＇an 710064, China)

机构地区：[1]淮阴工学院交通工程学院,淮安223003 [2]洛阳理工学院机械系,洛阳471000 [3]中国人民解放军汽车管理学院,蚌埠233011 [4]长安大学汽车学院,西安710064

出　　处：《数值计算与计算机应用》2017年第1期1-10,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金资助(51505172);校级项目资助(491714304)

摘　　要：为了研究变质量系统的动态响应,提出一种基于动量守恒的变质量系统振动分析方法.与现有变质量系统振动分析方法不同,在建立动力系统微分方程时,无需考虑质量变化率对阻尼的影响,而在计算过程中,由某一时刻计算下一时刻系统响应时,考虑质量变化对系统速度的影响,速度变化遵守动量守恒定律.利用算例和实验分别对提出的振动分析方法进行验证,结果表明:该方法可用于变质量动力系统振动分析.In order to study dynamic response of time-varying mass system, a vibration analysis method for time- varying mass system based on momentum conservation is developed in this paper. Different from other vibration analysis methods for time-varying mass system, the developed vibration analysis method possesses the following properties： （1） The effect of mass changing rate on damping is not considered when the differential equation of dynamic system is established; （2） The velocity of the system is varied as a result of the mass changing when the system response of next time interval is obtained. The variation of the velocity is based on the law of momentum conservation. The developed vibration analysis method was validated using some examples. The simulation and experimental example indicates that the developed vibration analysis method can be used to study dynamic response of time- raising mass system.

关 键 词：变质量系统 振动 直接积分方法 动量守恒 

分 类 号：O19[理学—数学]