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变密度环形薄膜的轴对称振动修正摄动解 被引量:4

AMENDED PERTURBATION SOLUTION FOR AXISYMMETRIC VIBRATIONS OF ANNULAR MEMBRANES WITH VARYTING DENSITY
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摘要 采用修正摄动法研究了变密度环形薄膜的轴对称横向固有振动 ,并求得了确定其横向振动固有频率的特征方程。把该方法所得到的修正摄动解与有关文献所得结果进行比较 ,可知此修正摄动解不但计算简便 ,而且精度可与经典的打靶法与微分求积法的精度相当。 In the paper,a perturbation solution analysis for axisymmetric transversal intrinsic vibrations of annular membranes with varying density is presented.The characteristic equations which determine the transversal intrinsic vibrations frequencies are obtained and are compared with the results in concerned references.It is shown that not only the solution has higher accuraoy but also the calculation process is simpler than others.
作者 吴晓
机构地区 常德师范学院
出处 《振动与冲击》 EI CSCD 北大核心 2002年第4期59-60,30,共3页 Journal of Vibration and Shock
关键词 变密度环形薄膜 轴对称振动 固有频率 修正摄动解 二阶线性齐次方程 varying density,annular membranes,transversal vibrations,natural frequency,amended perturbation solution
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参考文献7

  • 1Laura P A A,Ercoli L etal.Transverse vibr ations of composite membranes of arbitrary boundary shape.Journal of Sound and Vibration,1985;101:299-306
  • 2Mazumdar J A.Review of approsimate methods for determining the vibrational modes of membranes,The shock and vibration Digest,1975;7:75-88
  • 3Masad J A.Free vibrations of a non-homogeneous rectangular membrane.Journal of Sound and vibration 1996;195:674-678
  • 4Spence J P,Horgan C O.Bounds on natural frequencies of composite circular membranes:integral equation method,Journal of Sound and Vibration,1983;87:71-81
  • 5Laura P A A,Rossi R E et al.Fundamental frequency of non-homogeneous rectangular membranes,Journal of Sound and Vibration,1997;204:373-376
  • 6Laura P A A,Bambill D V et al.A note on transverse vibration of circular,annular composite membranes,Journal of Sound and Vibration,1997;205:692-697
  • 7Gutierrez R H,Laura P A A et al.Axisymmetric vibrations of solid circular and annular membranes with continuously varying density,Journal of Sound and Vibration,1998;212:611-622

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