轴压弹性圆柱壳中的包络孤立子及其存在条件  

The Envelope Soliton in a Elastic Cylindrical Shell Subjected to Axial Compression and Its Existent Conditions

作　　者：周义清[1,2] 张善元[1] 

机构地区：[1]太原理工大学应用力学与生物医学工程研究所,山西太原030024 [2]中北大学理学院,山西太原030051

出　　处：《兵工学报》2010年第7期922-926,共5页Acta Armamentarii

基　　金：国家自然科学基金资助项目(10772129)

摘　　要：采用环向对数应变,详细推导了支配圆柱壳横向轴对称运动的非线性方程。利用约化摄动法从非线性运动方程中导出了非线性Schrdinger方程。由此表明,在一定条件下受轴压弹性圆柱壳中存在包络孤立波;随着载荷参数λ和波数k的取值不同,可给出亮孤子解和暗孤子解。A nonlinear partial differential equation governing the transverse axial symmetrical motion of a elastic cylindrical shell in axial compression was derived using circumferential logarithmic strain definition.The reductive perturbation method was used to derive a nonlinear equation from the nonlinear flexural wave equation.It follows that the existence of the envelope soliton in the cylindrical shell is possible under certain conditions.The bright and dark solitons can be formed depending on the situated sections of load-parameter λ and wave-number k in λ-k plane.

关 键 词：固体力学 圆柱壳 轴向压缩 对数应变 约化摄动法 包络孤立子 

分 类 号：O347.4[理学—固体力学]