固定-固定型无阻尼弹簧质点系统的质量约束问题  

On the Construct Design of a Fixed-Fixed Undamped Mass-spring System under the Sum of Mass of System Restriction

作　　者：黄贤通[1] 胡锡炎[1] 张磊[1] 

机构地区：[1]湖南大学数学与计量经济学院

出　　处：《应用数学》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)

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.

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 

分 类 号：O151.21[理学—数学]