采用俞茂宏统一强度理论求解圆筒和球壳的极限值  

Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory

作　　者：田红亮 彭文昱 何孔德 董元发 杜义贤 钟先友 王骁鹏 郤能 TIAN Hongliang;PENG Wenyu;HE Kongde;DONG Yuanfa;DU Yixian;ZHOGN Xianyou;WANG Xiaopeng;XI Neng(College of Mechanical and Power Engineering,China Three Gorges University,Y ich ang, Hubei 443002,China)

机构地区：[1]三峡大学机械与动力学院,湖北宜昌443002

出　　处：《西安交通大学学报》2018年第3期1-11,共11页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51775307;51605255;51775308)

摘　　要：使用俞茂宏统一强度理论,获得了薄壁圆筒的弹性极限压强和最小壁厚,并根据钢管与核心混凝土的横截面面积,求解了厚壁圆筒的纵向极限承载能力;按照俞茂宏统一强度理论,得到了球壳的弹性极限压强和最小壁厚。计算表明:对于薄壁圆筒,其弹性极限压强随中间主应力系数的增大而增大;当中间主应力系数很小时,弹性极限压强随拉压强度比的增大而略微减小,而当中间主应力系数较大时,弹性极限压强随拉压强度比的增大而增大;最小壁厚随中间主应力系数的增大而减小;当中间主应力系数很小时,最小壁厚随拉压强度比的增大仅有微小的增大,而当中间主应力系数较大时,最小壁厚随拉压强度比的增大而减小。对于厚壁圆筒,增加中间主应力系数或套箍指标都将提高其纵向极限承载能力;当中间主应力系数较小时,纵向极限承载能力随拉压强度比的增大而减小,而当中间主应力系数较大时,纵向极限承载能力随拉压强度比的增大而增大;塑性极限内压强随径厚比的增大而逐渐降低。对于球壳,其弹性极限压强随拉压强度比的增大而减小,最小壁厚随拉压强度比的增大而增大。The elastic ultimate pressure and minimum wall thickness in thin-walled cylinder are attained with Yu's unified strength theory,and the longitudinal ultimate loading capacity of thick-walled cylinder is oslved according to the cross section area between steel tube and central concrete.The elastic ultimate pressure and minimum wall thickness in spherical shell are obtained according t o Yu)unified strength theory.Calculation reveals that:for thin-walled cylinder,the elasBic ulBimaBe pressure increases wiBh Bhe increase in Bhe inBermediaBe principal sBress coefficient;when the intermediate principal stress coefficient is sm all,the elastic ultimate pressure decreases slightly with the increase in the tensile-to-compressive strength ratio,while when this coefficient is large,the elastic ultimate pressure increases with the increase in the tensile-to-compressible strength ratio;the minimum wall thickness decreases with the increase in the intermediate principal stress coefficient;when the intermediate principal stress very sm all,the minimum wall thickness increases trivially with the increase in the tensile-tocompressive strength ratio,while when this coefficient is large,the minimum wall thickness decreases with the increase in the tensile-to-compressive strength ratio.For thick-walled cylinder,the longitudinal ultimate carrying capacity will improve by increasing principal stress coefficient or confinement index;when the intermediate principal stress coefficient is relatively sm all,the longitudinal ultimate loading capacity decreases with the increase in the tensile-to-compressive strength ratio,while when this coefficient is relatively large,the longitudinal ultimate loading capacity increases with the increase in the tensile-to-compressive strength ratio;and the plastic ultimate inner pressure decreases gradually with the increase in the diameter-to-thickness ratio.The elastic ultimate pressure of spherical shell decreases with the increase in the tensile-to-compressive strength ratio,and its minimum wall thick

关 键 词：俞茂宏统一强度理论 圆筒 球壳 极限载荷 钢管 混凝土 套箍指标 

分 类 号：TH113.1[机械工程—机械设计及理论]