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| Buckling of beams made of graded porous metal materials and times new vibration on the basis of buckling |
| Received:October 26, 2022 Revised:December 15, 2022 |
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| DOI：10.7511/jslx20221026001 |
| KeyWord:graded porous material porosity follower force critical load frequency |
| Author | Institution |
| 李清禄 |
兰州理工大学 理学院, 兰州 |
| 赵煊贺 |
兰州理工大学 理学院, 兰州 |
| 张靖华 |
兰州理工大学 理学院, 兰州 |
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| Abstract: |
| In order to study the buckling of a graded porous metal beam and its vibration characteristics near buckling,the governing equations of motion of the gradient porous metal beam under the distributed follower pressure were first established,and the governing differential equations of static equilibrium describing post-buckling and the governing equations describing the vibration response before and after buckling were obtained.Two sets of strongly nonlinear equations were solved numerically by shooting method,and the critical buckling load of hinged-fixed graded porous beams and the relationship between the vibration frequency and the load before and after buckling were obtained.The effects of porosity coefficient and porosity distribution on critical buckling load and vibration frequency before and after buckling were analyzed.The results show that the critical load decreases with the increase of porosity coefficient;the natural frequencies also decrease.Before buckling,the natural vibration frequencies decrease with the increase of load.After buckling,the first-and second-order frequencies increase with the increase of load,except for the third order frequencies. |
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