郑瑞芬. 扭壳的动力响应及程序设计[J]. 工程力学, 1985, 2(4): 83-87.
引用本文: 郑瑞芬. 扭壳的动力响应及程序设计[J]. 工程力学, 1985, 2(4): 83-87.
Zheng Ruifen. The Dynamic Response of Hypar Shells and its Programming on Microcomputer[J]. Engineering Mechanics, 1985, 2(4): 83-87.
Citation: Zheng Ruifen. The Dynamic Response of Hypar Shells and its Programming on Microcomputer[J]. Engineering Mechanics, 1985, 2(4): 83-87.

扭壳的动力响应及程序设计

The Dynamic Response of Hypar Shells and its Programming on Microcomputer

  • 摘要: 本文在文献1的基础上提出了分析扭壳的动力响应问题以及在微型机上实现的程序。作者采用加权残数法中的配点法,用三次B样条函数作为振型位移的试函数,代人用拉格朗日方程推导的扭壳运动微分方程,然后,按照样条结点上残数方程为零的条件,计算扭壳的位移/速度和加速度。在此基础上,作者编出了计算机的程序,据此程序上机计算,只要输入几个原始数据,该扭壳的位移等计算结果在几秒钟之内即可算出,堪称方便、迅速、准确。文中列举了扭壳在几种载荷作用下的计算结果,特别是当动载荷趋向定值时,其结果与静力解吻合。本文并叙述了在微型机VICTOR 9000上实现的计算程序。

     

    Abstract: This paper presents the analyse of the dynamic response of hypar shells by the method proposed by Prof. Xu Cida and the programming on Microcomputer VICTOR 9000 C. By the use of the Largrange equation the author has derived the differential equation of motion specially for the hypar shell Assuming the displac ement function of the shell as a B spline function of the third order and substituting into the equation of motion of the hypar shell, an integral scheme for the dynamic loading of the shell is gotten by which the mode displacements, velocities and accelerations of the hypar shell may be calculated. The author has worked out the program on microcomputer VICTOR 9000 C. It needs only 4 original data for input and the displacements, velocities and accelerations of the hypar shell may be known in several seconds. The papar lists results of calculation of the hypar shell under four kinds of dynamic loadings. when the dynamic load remains to a constant va lue, then results of calculation coincde with the static solution.

     

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