西南石油大学学报(自然科学版) ›› 1985, Vol. 7 ›› Issue (1): 89-95.DOI: 10.3863/j.issn.1000-2634.1985.01.010

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热屈曲问题的权余法解

林敏诚   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1985-02-20 发布日期:1985-02-20

THE SOLUTION TO THERMO-BENDING QUESTIONS BY MWR

Lin Minchen   

  • Received:1900-01-01 Revised:1900-01-01 Online:1985-02-20 Published:1985-02-20

摘要: 本文对圆柱长杆在两端铰支、两端固定、一端固定另一端铰支以及一端固定另一端自由的四种不同约束条件下,因温度上升而在杆件中发生热屈曲现象时的临界温度T_k用新计算方法,即加权余力法进行分析计算,从而得出临界温度T_k的计算通式。这种方法的优点是计算简捷准确,它也是求解微分方程近似解的一种有效方法。

Abstract: This paper has derived a new method to calculate the critical temperature T_K, which, as the temperature increases, is yielded by the thermobending phenomena in the round-longer bar under four different conditions of binding, i.e. both ends hinged, both ends fixed, one end fixed whereas the other hinged, and one end fixed whereas the other free. The collocation method of MWR(Method of Weighted Residuals ) is used to analyse and calculate in this method, with which the common formula.