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Buckling Analyses of Axially Functionally Graded Nonuniform Columns with Elastic Restraint Using a Localized Differential Quadrature Method
المؤلفون المشاركون
Yilmaz, Yasin
Girgin, Zekeriya
Evran, Savas
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-12، 12ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-07-28
دولة النشر
مصر
عدد الصفحات
12
التخصصات الرئيسية
الملخص EN
A localized differential quadrature method (LDQM) is introduced for buckling analysis of axially functionally graded nonuniform columns with elastic restraints.
Weighting coefficients of differential quadrature discretization are obtained making use of neighboring points in forward and backward type schemes for the reference grids near the beginning and end boundaries of the physical domain, respectively, and central type scheme for the reference grids inside the physical domain.
Boundary conditions are directly implemented into weighting coefficient matrices, and there is no need to use fictitious points near the boundaries.
Compatibility equations are not required because the governing differential equation is discretized only once for each reference grid using neighboring points and variation of flexural rigidity is taken to be continuous in the axial direction.
A large case of columns having different variations of cross-sectional profile and modulus of elasticity in the axial direction are considered.
The results for nondimensional critical buckling loads are compared to the analytical and numerical results available in the literature.
Some new results are also given.
Comparison of the results shows the potential of the LDQM for solving such generalized eigenvalue problems governed by fourth-order variable coefficient differential equations with high accuracy and less computational effort.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Yilmaz, Yasin& Girgin, Zekeriya& Evran, Savas. 2013. Buckling Analyses of Axially Functionally Graded Nonuniform Columns with Elastic Restraint Using a Localized Differential Quadrature Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010761
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Yilmaz, Yasin…[et al.]. Buckling Analyses of Axially Functionally Graded Nonuniform Columns with Elastic Restraint Using a Localized Differential Quadrature Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1010761
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Yilmaz, Yasin& Girgin, Zekeriya& Evran, Savas. Buckling Analyses of Axially Functionally Graded Nonuniform Columns with Elastic Restraint Using a Localized Differential Quadrature Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010761
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1010761
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