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压杆是房屋和桥梁结构的重要受力构件。当压杆所承受的荷载达到一定的临界值时,整个结构就会失去稳定性。该文根据精细传递矩阵法原理和压杆微弯平衡状态下的微分平衡方程,建立了在轴向荷载作用下压杆稳定分析的精细传递矩阵式。并运用精细传递矩阵法对不同边界约束的压杆进行了临界荷载的计算,计算结果与压杆屈曲的理论解基本一致,从而验证了该文方法是正确、有效的。算例表明:轴心受压杆件的屈曲荷载的增幅逐阶递增。建议采取措施以避开压杆的低阶屈曲荷载,从而可以有效的提高压杆的承载能力,充分发挥材料的性能。
Presses are an important component of the structure of houses and bridges. When the load on the strut reaches a certain critical value, the entire structure will lose its stability. According to the principle of the fine transfer matrix method and the differential equilibrium equation under the micro-bending equilibrium condition, the fine transfer matrix of the stability analysis of the compression rod under axial load is established. The critical load is calculated by using the fine transfer matrix method. The calculated results are basically consistent with the theoretical solution of buckling of buckling bar, which verifies that this method is correct and effective. The example shows that the increase of buckling load of axial compression member increases step by step. It is recommended to take measures to avoid low-order buckling buckling load, which can effectively improve the carrying capacity of the bar, give full play to the performance of the material.