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等透射率冲击部件的动态反演综合
引用本文:刘德顺,朱萍玉,彭佑多,陈安华.等透射率冲击部件的动态反演综合[J].机械工程学报,2001,37(4):17-20.
作者姓名:刘德顺  朱萍玉  彭佑多  陈安华
作者单位:湘潭工学院振动、冲击与诊断研究所,
基金项目:国家自然科学基金! (5 9875 0 73),湖南省自然科学基金!(99JJY2 0 0 5 0 )
摘    要:研究了应力波在冲击机械系统中的传播规律 ,提出了给定部件等透射率的部件综合方法。将给定部件离散成N个等时段 ,每段内的截面积一定 ,从而建立了描述应力波传播的矩阵方程。提出并讨论了部件特征矩阵和等透射率概念。借助反演技术 ,通过替代求解出所有与给定部件透射率相等的部件设计方案 ,并论证了当离散数为N时部件设计方案数目最多为 2 N 个 ,其中包括给定部件本身。给出了两种部件的数值计算实例

关 键 词:透射率  冲击部件  应力波  反演
修稿时间:2000年5月29日

INVERSE SYNTHESIS OF IMPACT PARTS WITH THE SAME WAVE TRANSMISSIVITY AS A GIVEN PART
LIU Deshun,Zhu Pingyu,Peng Youduo,Chen Anhua.INVERSE SYNTHESIS OF IMPACT PARTS WITH THE SAME WAVE TRANSMISSIVITY AS A GIVEN PART[J].Chinese Journal of Mechanical Engineering,2001,37(4):17-20.
Authors:LIU Deshun  Zhu Pingyu  Peng Youduo  Chen Anhua
Affiliation:Xiangtan Polytechnic University
Abstract:Transmission of stress wave through the mechanical impact system is studied with the aim to provide an approach to synthesize all parts with the same wave transmissivity as a given part.The given part is divided into a finite number N of segments with constant cross sectional area and equal transit time,as a consequence the matrix equations are established to represent the transmisson of stress waves.Characteristic matrix and transmission equivalent are defined and discussed.By means of an inversion approach,all parts which are transmission equivalent to the given part can be obtained through substitutions.It is mentioned that there are at most two to the power N different.Numerical examples are given for cases with N =2,3.
Keywords:Wave transmissivity  Impact part  Stress wave  Inversion
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