扁壳有限条的静力和动力分析

Finite Strip Static and Dynamic Analysis for Shallow Shell

  • 摘要: 本文用限条法导出了分析二次抛物形扁壳的计算模式。所采用的曲条单元可用于分析在某一方向曲率较大的二次抛物壳体。经过蜕化,它还可计算双曲扁壳、柱壳及析板等结构。用这一摸式在微型机上编制了FORTRAN静力和动力程序,并对各种正、负及零高斯曲率扁壳进行了计算。对双曲马鞍型壳还进行了静力和动力试验,将理论计算值与实验结果进行比较,两者符合较好。将有限条法的计算情况与有限元法进行比较,前者具有计算精度高、省时、省内存等优点,并使许多问题可在微型机上解决。

     

    Abstract: This paper is concerned with the analysis of quadratic parabolic shallow shels by means of the finite strip method (FSM).The curved strip element can be used to analyse the shell, in which the cuvature is larger in one direction. Through degeneracy, it can be used to solve doubly curued shallow shells, cylindrical shell and folded plates etc. Two FORTRAN programes are given on micro computer for the static and dynamic calculation. A series of shells, including positive, negative and zero Ganssian curvature shallow shells are analysed. Several static and dynamic experiments have been done for doubly curved saddle shells. The theoretical results are agreeable with the test data. Comparing with the finite element method, FSM has some advantages, such as higher precision, less computer time and less compter storage reguirements etc. It can be seen, many problems can easily be solved on micro computer by FSM.

     

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