摘要
本文讨论了系统总质量约束下的固定-固定型无阻尼弹簧质点系统的构造问题,得到了该问题的可解性条件,给出了解的表达式和数值算法,算例说明算法是有效的.
This paper discussed the construct design of a fixed-fixed undamped massspring system from prescribed data. The prescribed data involve physical parameters of subsystem and partial information of modes. The vibration system is constrained to satify a relation that the sum of mass of system is a constant. The conditions for the existence of the solution is shown. The expression of the solution and the related numerical algorithm is derived. The numerical example is given.
出处
《应用数学》
CSCD
北大核心
2007年第1期70-75,共6页
Mathematica Applicata
基金
国家自然科学基金资助项目(10571047)
关键词
逆振动问题
逆特征问题
弹簧质点系统
优化设计问题
Inverse vibration problem
Inverse eigen-problem Mass-spring system
Construct design problem