焊接残余应力对非线性矩形薄板解的稳定性影响的研究  

STUDY OF THE WELDING RESIDUAL STRESS INFLUENCE ON STABILITY OF SOLUTION OF NONLINEAR THIN RECTANGULAR PLATE

作　　者：高永毅[1] 唐果[2] 万文[3] 邹声华[3] 

机构地区：[1]湖南科技大学物理与电子科学学院,湘潭411201 [2]湖南科技大学数学与计算科学学院,湘潭411201 [3]湖南科技大学能源与安全工程学院,湘潭411201

出　　处：《机械强度》2016年第6期1289-1293,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金(51175172;51174088;51274098;51134005)资助~~

摘　　要：根据非线性振动和高等板壳理论,以具有对接焊接残余应力的非线性矩形薄板为研究对象,研究了焊接残余应力对非线性构件解的稳定性影响;得出了具有焊接残余应力的非线性矩形簿板周期解的稳定和不稳定区域随焊接残余应力大小变化而变化和在不同频率范围内,焊接残余应力对周期解稳定性的影响不同以及焊接残余应力整体上是使周期解的稳定区域减少的结论;其结论对具有焊接残余应力的非线性矩形簿板的设计具有一定的指导意义。According to theory of nonlinear vibration and Higher theory of plates and shells, the welding residual stress influence on stability of solution of nonlinear thin rectangular plate was studied to choose nonlinear rectangular thin plate possessed the welding residual stress as subject investigated. The conclusion which the stable and unstable regions of periodic solution of nonlinear rectangular thin plate possessed the welding residual stress has with the welding residual stress and change was gained. The conclusion which in different frequency ranges, the welding residual stress effects on stability of periodic solutions of different was obtained. The conclusion which the welding residual stress on the whole bring to reduce the stable region of periodic Solutions. The conclusion has certain guiding significance for the design of nonlinear rectangular thin plate possessed the welding residual stress.

关 键 词：焊接残余应力 非线性矩形薄板 周期解 稳定性 

分 类 号：TG404[金属学及工艺—焊接] O327[理学—一般力学与力学基础]