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塑性管道内管被广泛应用于修复损坏的刚性管道。在之前的分析中,一般简化地认为内管是等厚度的。然而,在正常使用中,由于腐蚀性液体或气体的腐蚀,会造成内管厚度不均。论述了在外部流体压力作用下不同厚度圆柱体形管道内管的弹性屈曲的分析结果。根据最小势能理论得出了分析结果,并与有限元数值分析结果进行了对比。结果显示,有限元的分析结果与最小势能理论分析结果较好地吻合。分别对最小势能理论分析结果和有限元分析结果进行了讨论,并与其他理论得出的结果进行了对比。当内管厚度是常数时,本分析结果就简化为Glock的经典结论。
Plastic pipe inner pipe is widely used to repair damaged rigid pipe. In previous analyzes, it was generally simplified to think that the inner tube was of equal thickness. However, in normal use, due to corrosive liquid or gas corrosion, will result in uneven thickness of the inner tube. The results of elastic buckling analysis of tubes with different thicknesses under external fluid pressure are discussed. The analytical results are obtained according to the theory of the minimum potential energy and compared with the numerical results of finite element analysis. The results show that the finite element analysis results are in good agreement with the theoretical analysis of the minimum potential energy. The results of the theoretical analysis of the minimum potential energy and the results of the finite element analysis are respectively discussed and compared with the results obtained by other theories. When the thickness of the inner tube is constant, the results of this analysis are reduced to the classical conclusion of Glock.