Nonlinear stability of FGM shallow spherical shells including the effects of transverse shear deformation using analytical approach
سال انتشار: 1396
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 620
فایل این مقاله در 9 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
NCNMS06_012
تاریخ نمایه سازی: 22 دی 1396
چکیده مقاله:
This paper represents the nonlinear response of Functionally Graded shallow spherical shells under external uniform distributed transverse loads incorporating shear deformation effects by using modified interaction method to solve the boundary value problem. Material properties are continuously distributed along the thickness and symmetric related to middle surface of the spherical shell according to power-law distribution in terms of volume fractions of constituents. All of the equations for shallow spherical shells are derived by using the first-order shear deformation of the shell theory and specialized for axisymmetric deformation with geometrical non- linearity are taken into consideration. Stability analysis for a clamped spherical shell shows the effects of material and geometric parameters, edge restraint. The closed-form formula represents the equilibrium path, yields to helpful results. Comparison of equilibrium paths using classical and first-order shear deformation theories shows that the increasing of the instability (i.e. difference of upper and lower buckling loads) yields to more considerable effects of the transverse shear deformation. Parametric studies showed that the increasing of the proportional thickness yields decreasing of the instability but for the proportional depth it is invers. The same results obtained for effect of the differentvalues for power law index (k) of functionally graded material (FGM). Increasing the index k results more instability.
کلیدواژه ها:
shallow spherical shells-functionally graded materials-geometrical nonlinearitystability-shear deformation-equilibrium path
نویسندگان
Mohammad Amin Shahmohammadi
Civil engineering department - Isfahan University of Technology, Isfahan, Iran
Mohammad Zaman Kabir
Professor of civil and environmental engineering department - Amirkabir University of Technology, Tehran, Iran