![](/images/graphics-bg.png)
Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method
المؤلفون المشاركون
Abumandour, Ramzy M.
Abdelmgeed, Fathi A.
Elrefaey, Adel M.
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-14، 14ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-01-25
دولة النشر
مصر
عدد الصفحات
14
التخصصات الرئيسية
الملخص EN
In this paper, we present a simple, powerful, yet efficient and easily applicable technique based on the GDQ method for solving nonlinear problems.
The proposed technique is implemented to some nonlinear engineering problems in structure analysis.
The results reveal that the proposed technique is effective.
Then, the proposed technique is used to explain the effects of the variation of cross section area on the nondimensional critical buckling loads for columns with and without elastic foundation for three sets of boundary conditions.
Finally, the proposed technique is used to investigate the effect of the nonlinearity term of Winkler elastic foundation on the nondimensional critical buckling loads of nonuniform columns resting on elastic foundations.
The effectiveness of the proposed technique is validated through comparing the present results with exact solutions and other numerical results available in references.
The proposed method benefits the optimum design of columns against buckling in engineering applications.
The most important conclusions from this paper can be summarized as follows.
When the inertia ratio varies parabolically, the nondimensional critical buckling loads increase in comparison with varying linearly.
Moreover, the nondimensional critical buckling loads increase in the presence of the elastic foundation.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Abumandour, Ramzy M.& Abdelmgeed, Fathi A.& Elrefaey, Adel M.. 2020. Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1197579
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Abumandour, Ramzy M.…[et al.]. Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1197579
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Abumandour, Ramzy M.& Abdelmgeed, Fathi A.& Elrefaey, Adel M.. Joint Effect of the Nonlinearity of Elastic Foundations and the Variation of the Inertia Ratio on Buckling Behavior of Prismatic and Nonprismatic Columns Using a GDQ Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1197579
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1197579
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر
![](/images/kashef-image.png)