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| A linear element for parabolic shallow arch |
| Received:August 13, 2018 Revised:November 21, 2018 |
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| DOI：10.7511/jslx20180813001 |
| KeyWord:parabolic arch compression-bending coupling displacement shape functions potential energy principle governing equation |
| Author | Institution |
| 李烃 |
中国农业大学 水利与土木工程学院, 北京 |
| 王佳佳 |
中国农业大学 水利与土木工程学院, 北京 |
| 王斌泰 |
中国农业大学 水利与土木工程学院, 北京 |
| 许晶 |
中国农业大学 水利与土木工程学院, 北京 |
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| Abstract: |
| To study the linear internal force and displacement of parabolica shallow arch under complex stress state the equilibrium equations,geometric equations and physical equations were analyzed,based on the assumption of flat arch,by considering the arch bending coupling.The general solution scheme of the parabolic arch internal force equation was obtained and the displacement function of a parabolic shallow arch was constructed.Based on the principle of minimum potential energy,a parabolic shallow arch unit was modelled.The numerical example shows that the calculation precision of the internal force of the parabolic shallow arch unit constructed in this paper is good,and the maximum relative error of one arch unit is only 4.03%,which can be used in the analysis of a parabolic arch. |
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