%0 Journal Article %T ON THE EQUILIBRIUM AND STABILITY OF ELASTIC THIN-WALLED CYLINDERS
弹性薄壁桿件的平衡与稳定的一般理论 %A HU HAI-CHANG %A SHI PO-MING %A
胡海昌 %A 解伯民 %J 物理学报 %D 1955 %I %X In this paper a theory of equilibrium and stability of elastic thin-walled cylinders is proposed. The theory is based on the following assumptions: 1) The cross section of the cylinder is uncleformable. 2) The cylinder is under a system of initial stresses σz0=- P0/F-My0/Ixx x + Mx0/Iyyy. This theory may be regarded as a generalization of V. Z. Vlasoff's theory of stability of thin-walled rods, and includes the theory of Karman-Chien and Adaduroff as a special case. For cases of simply supported cylinders and cantilever cylinders, a method of solution using trigonometric series is proposed which is much simpler than the methods used by Karman-Chien and Adaduroff. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=8B0CD04ADA5F3AE4&yid=86111F5AA060BA96&vid=708DD6B15D2464E8&iid=E158A972A605785F&sid=5A6705FDACED0BF9&eid=EF78DD85C21CB57F&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0