CAJ | 학술논문

将广泛应用于薄壁棱柱形构件稳定性研究的广义梁理论推广到薄壁圆形截面柱壳的稳定性分析中，采用正交对称形式的位移函数，并考虑截面畸变翘曲的影响。由能量法推导出临界应力表达式，提出了一种用于薄壁圆形截面的柱壳稳定性分析的新方法，并进一步研究了不同长细比薄壁圆柱壳的临界屈曲应力与轴长及壁厚之间的关系。研究表明：随圆柱壳轴长的增大，临界应力整体呈波动下降趋势，其中存在的局部极小值点为对应于不同屈曲模态下的临界应力；随着圆柱壳壁厚的增大，临界应力呈增大趋势。上述方法的分析结果与有限元方法模拟结果及文献中结果对比均具有较好的一致性，说明将广义梁理论应用于薄壁圆柱壳稳定性分析是可行的。
장엄범응용우박벽릉주형구건은정성연구적엄의량이론추엄도박벽원형절면주각적은정성분석중，채용정교대칭형식적위이함수，병고필절면기변교곡적영향。유능량법추도출림계응력표체식，제출료일충용우박벽원형절면적주각은정성분석적신방법，병진일보연구료불동장세비박벽원주각적림계굴곡응력여축장급벽후지간적관계。연구표명：수원주각축장적증대，림계응력정체정파동하강추세，기중존재적국부겁소치점위대응우불동굴곡모태하적림계응력；수착원주각벽후적증대，림계응력정증대추세。상술방법적분석결과여유한원방법모의결과급문헌중결과대비균구유교호적일치성，설명장엄의량이론응용우박벽원주각은정성분석시가행적。
The generalised beam theory, which is widely applied to thin-walled prismatic shaped shells, is extended to conduct the stability analysis of a thin-walled cylindrical shell.Based on the orthogonal symmetric displacement function and considering the influence of the cross sectional dis-tortion warp, the formulation of the critical stress is obtained by the energy method.Therefore, a new method for the stability analysis of cylindrical shells is proposed and relationships among the critical buckling stresses of the shells with different slenderness ratios, length and thickness are fur-ther studied.The results show that the critical stress decreases with the increase in the length of the shell with local minimum values corresponding to the critical stress of different buckling modes.The critical stress increases when the thickness of the shells increases.The results from the proposed method has good agreement with those from the finite element simulations and results from other re-searchers, which demonstrates that the application of the generalised beam theory to the stability analysis of thin-walled cylindrical shells is effective.