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| Optimization algorithm for post-buckling load of clamped-clamped column considering material nonlinearity |
| Received:August 27, 2021 Revised:October 08, 2021 |
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| DOI：10.7511/jslx20210827002 |
| KeyWord:post-buckling 6082-T6 aluminum alloy nonlinearity Ramberg-Osgood constitutive relationship optimization algorithm |
| Author | Institution |
| 侯祥林 |
沈阳建筑大学 机械工程学院, 沈阳 |
| 成永刚 |
沈阳建筑大学 机械工程学院, 沈阳 |
| 殷晓薇 |
中车长春轨道客车股份有限公司, 长春 |
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| Abstract: |
| The post-buckling of 6082-T6 aluminum alloy columns with a clamped-clamped boundary condition and satisfying Ramberg-Osgood constitutive relationship is investigated.An explicit stress expression for calculating the bending moment on the cross section is obtained by using the Taylor expansion, and the governing equation for shear stress is derived in terms of the bending moment-curvature relationship.Since both material nonlinearity and geometric nonlinearity are considered, the governing equation is a second-order nonlinear differential equation, and an optimization algorithm for solving the governing equation containing buckling load is proposed in this paper.The buckling load and curvature at the fixed end are taken as design variables.The objective function is formed by the rotation angle and deflection at the midpoint of the clamped-clamped column.The values of design variables are changed by using advance and retreat method and golden section method, and different results are outputted by the R-K method included in the program.Then the results are substituted into the objective function for comparison, and the minimum interval containing the minimum value of the objective function is obtained.Finally, the values of the design variables satisfying the calculation accuracy are determined.Compared with the complex analysis process of shooting method, the optimization algorithm has a simple optimization process and high calculation speed.In order to verify the correctness of the algorithm, the numerical results of a post-buckling of 6082-T6 aluminum alloy clamped-clamped column are compared. |
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