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| Optimization algorithm of boundary value problem of stable nonlinear differential equation for variable cross-section compression bar |
| Received:June 26, 2016 Revised:August 05, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201702002 |
| KeyWord:compression bar stability boundary value problem nonlinear differential equation optimization algorithm critical load buckling position |
| Author | Institution |
| 侯祥林 |
沈阳建筑大学 机械工程学院 沈阳 |
| 胡建强 |
沈阳建筑大学 机械工程学院 沈阳 |
| 卢宏峰 |
中国建筑东北设计研究院有限公司 沈阳 |
| 王春刚 |
沈阳建筑大学 土木工程学院 沈阳 |
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| Abstract: |
| For computation of critical load of variable cross-section compression bar under all types of constraints, numerical algorithms for nonlinear differential equation are combined with optimization methods. Taking initial condition of the starting point boundary, unknown critical load and additional constraint force as design variables, terminal boundary value condition and buckling position condition as objective function, an optimization algorithm for critical load and stable buckling deformation of variable cross-section compression bar is proposed. Visual Basic is used to develop a universal computing program. Typical examples are analyzed. Comparison shows that critical load is computed with high precision and the method can be applied in engineering. |