Abstract

In order to know the mechanical properties of filament-wound composite cylindrical shells subjected to hydrostatic pressure, solve the buckling problem of pressure hull in deep sea and provide reference for engineering design, it is necessary to research the stability of filament-wound composite cylindrical shells. Based on the theory of thin shells, the governing equations were derived. Stability of composite cylindrical shells was researched by employing Galerkin method to solve the eigenvalue equation. The critical buckling pressure was calculated for cross filament-wound, metal-filament-wound and angle filament-wound composite cylinders under hydrostatic pressure. Compared to the test results, the numerical solution was illustrated to be feasibility. On this basis, the numerical method was interacted with genetic algorithm to search optimum stacking sequence and filament winding angle. Three types of winding pattern [(±θ)12], [(±θ1)x/(±θ2)12-x] and [(±θ1)4/(±θ2)4/(±θ3)4] were investigated, . Further, the effects of winding angle and the corresponding layer number on the critical buckling pressure were evaluated. It was shown that winding angle variation affected the critical buckling pressure significantly. Stability was greatly improved by numerical optimization, and the maximum critical buckling loads are increased by 31.31%, 43.25% and 57.51% compared with the base line, respectively. As the number of design variable increased, the carrying capacity was improved markedly. The optimal critical buckling pressure was increased by 57.17%.

Highlights

  • In order to know the mechanical properties of filament⁃wound composite cylindrical shells subjected to hydrostatic pressure

  • necessary to research the stability of filament⁃wound composite cylindrical shells

  • The critical buckling pressure was calculated for cross fil⁃ ament⁃wound

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Summary

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Aij 为面内刚度,表示中面应变与薄膜内力的刚 度关系,Bij 耦合刚度,表示弯曲与拉伸的耦合关系, Dij 弯曲刚度,表示弯曲内力矩与曲率、扭率的刚度 关系,其中 i,j = 1,2,6。 各刚度的表达式为 n. 程(9) 得到薄膜内力 ( Nα,Nβ,Nαβ) 和弯曲内力矩 ( Mα,Mβ,Mαβ) 的 表 达 式, 然后将其与附加力表达 (4) ~ (6)式带入平衡方程(1) ~ (3) 中,得到稳定性. 的唯一未知量为 aj,求解即可得到微分方程 L(u) = 0 的近似解 ua。 本文主要运用 Galerkin 方法求解圆 柱壳体的临界失稳压力,即求解微分方程 L(u) = 0. 纤维缠绕时相邻 2 层缠绕角度呈正负交错,当 ij = 16,26 时,面内刚度 Aij、耦合刚度 Bij 及弯曲刚度 Dij 相比 ij 其他项是微小量,在分析壳体屈曲问题时 可以简化为零。 可知,Nα = Mα = 0,故近似函数(19) 满足(18) 式中的全部边界条件。

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