Buckling of Nonprismatic Column on Varying Elastic Foundation with Arbitrary Boundary Conditions
Autor: | Mohammed T. Albahttiti, Ahmad A. Ghadban, Ahmed H. Al-Rahmani, Hayder A. Rasheed |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Discretization
Article Subject Differential equation General Mathematics 020101 civil engineering Young's modulus 02 engineering and technology 0201 civil engineering Matrix (mathematics) symbols.namesake 0203 mechanical engineering medicine Boundary value problem Mathematics business.industry lcsh:Mathematics Mathematical analysis General Engineering Stiffness Structural engineering Moment of inertia lcsh:QA1-939 020303 mechanical engineering & transports Buckling lcsh:TA1-2040 symbols medicine.symptom lcsh:Engineering (General). Civil engineering (General) business |
Zdroj: | Mathematical Problems in Engineering, Vol 2017 (2017) |
ISSN: | 1024-123X |
DOI: | 10.1155/2017/5976098 |
Popis: | Buckling of nonprismatic single columns with arbitrary boundary conditions resting on a nonuniform elastic foundation may be considered as the most generalized treatment of the subject. The buckling differential equation for such columns is extremely difficult to solve analytically. Thus, the authors propose a numerical approach by discretizing the column into a finite number of segments. Each segment has constantsE(modulus of elasticity),I(moment of inertia), andβ(subgrade stiffness). Next, an exact analytical solution is derived for each prismatic segment resting on uniform elastic foundation. These segments are then assembled in a matrix from which the critical buckling load is obtained. The derived formulation accounts for different end boundary conditions. Validation is performed by benchmarking the present results against analytical solutions found in the literature, showing excellent agreement. After validation, more examples are solved to illustrate the power and flexibility of the proposed method. Overall, the proposed method provides reasonable results, and the examples solved demonstrate the versatility of the developed approach and some of its many possible applications. |
Databáze: | OpenAIRE |
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