大连民族学院学报
大連民族學院學報
대련민족학원학보
JOURNAL OF DALIAN UNIVERSITY FOR NATIONAL MINORITIES
2011年
5期
469-471
,共3页
牛大田%高洋%杨文美
牛大田%高洋%楊文美
우대전%고양%양문미
可压缩超弹性材料%应变能函数%平衡微分方程%非线性微分方程组%边界条件%参数型解析解
可壓縮超彈性材料%應變能函數%平衡微分方程%非線性微分方程組%邊界條件%參數型解析解
가압축초탄성재료%응변능함수%평형미분방정%비선성미분방정조%변계조건%삼수형해석해
compressible hyperelastic material%strain energy function%equilibrium differential equation%system of nonlinear differential equations%boundary condition%analytic solution of parametric type
以非线性弹性力学的有限变形理论为基础，建立了一类可压缩橡胶材料组成的层合柱壳受内外径向压力时的对称径向有限变形问题数学模型，得到了柱壳的径向变形方程组，并由此得到了模型的参数型解析解，最后给出了确定参数的有效途径。
以非線性彈性力學的有限變形理論為基礎，建立瞭一類可壓縮橡膠材料組成的層閤柱殼受內外徑嚮壓力時的對稱徑嚮有限變形問題數學模型，得到瞭柱殼的徑嚮變形方程組，併由此得到瞭模型的參數型解析解，最後給齣瞭確定參數的有效途徑。
이비선성탄성역학적유한변형이론위기출，건립료일류가압축상효재료조성적층합주각수내외경향압력시적대칭경향유한변형문제수학모형，득도료주각적경향변형방정조，병유차득도료모형적삼수형해석해，최후급출료학정삼수적유효도경。
Based on the finite deformation theory of elasticity mechanics, the mathematical model that describes the deformation problem of a cylindrical shell composed of two classes of compressible rubber materials subjected to inner and outer radial pressure has been established, and the equations of the radial deformation has been developed. Then, the analytic solution of parametric type of the model has been in hand, and the approach to determine the parameters has been provided.
