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基于弹性基础梁理论的球壳承压能力分析

DOI: 10.3969/j.issn.1006??7043.201304044

Keywords: 大挠度, 弹性基础梁, 球壳, 弹塑性, 切线模量, 承压能力

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Abstract:

为解决球壳的承压能力问题,从平板大挠度方程出发,假设板发生对称的球冠式初始弯曲变形,就能得出承受静水压力的球冠平衡方程,此方程可以简化成受横向载荷和轴向压力作用的弹性基础梁的平衡方程。通过弹性基础梁的屈曲问题,建立了球壳弹塑性失稳的极限强度和压杆临界应力的关系。在研究材料拉伸曲线的基础上,可以改进切线模量理论的计算方法,得出更简便、规范的切线模量因子算法。通过与大量深潜器球壳失稳的实验数据和数值数据比较,表明基于弹性基础梁理论的算法具有较高的准确性,可以推广用于计算承受均匀外压球壳的极限荷载。

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