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环膜大变形机械特性参数的回归
引用本文:高永祥,罗纪生.环膜大变形机械特性参数的回归[J].天津大学学报(自然科学与工程技术版),1994,27(3):317-323.
作者姓名:高永祥  罗纪生
摘    要:提出一种用环膜变形确定大变形膜特性参数的新方法。首先应用文献中计算轴对称膜大变形的数学模型解出内,外固定环膜的变形,并对Mooney和Hart-Smith本构模型进行了线性回归,克服了这类多变量非线性常微分方程组参数回归中的困难,然后,根据本文回归出的机械特性参数,计算出环膜的理论变形,所得结果与实验基本吻合。

关 键 词:  大变形  机械特性参数  回归

DETERMINATION OF MECHANICAL PARAMETERS OF FINITE DEFORMATION OF MEMBRANES
Gao Yongxiang,Luo Jisheng.DETERMINATION OF MECHANICAL PARAMETERS OF FINITE DEFORMATION OF MEMBRANES[J].Journal of Tianjin University(Science and Technology),1994,27(3):317-323.
Authors:Gao Yongxiang  Luo Jisheng
Institution:Dept.of Mechanics & Engineering Measurements
Abstract:This paper describes a new method for the determination of the mechanicalparameters of finite deformation of membranes by means of the deformation of ring membranes.A theoretical model is first described of the finite deformation of axisymmetrical membranes.With the model the problem of axisymmetrical membranes clamped down on their inner and outer circumferences is solved and the nonlinear regression of Mooney model and Hart-Smith model are made. Basing on the parameters obtained the authors calculated the deformation andfound the results in agreement with the results obtained by experiments.
Keywords:membrane  finite deformation  mechanical parameters  nonlinear regression
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