大转动曲边柱壳非线性3-D动力学建模及分析  

NONLINEAR 3-D DYNAMICS MODELING AND ANALYSIS OF CURVED BOUNDARY CYLINDRICAL SHELL WITH LARGE ROTATION

作　　者：何锃[1,2] 刘桂祥[1,2] 李志江 黄正[1,2] 张栋梁[1,2] 江雯[1,2] 

机构地区：[1]华中科技大学力学系,武汉430074 [2]工程结构分析与安全评定湖北省重点实验室,武汉430074 [3]长江航道规划设计研究院,武汉430011

出　　处：《固体力学学报》2014年第5期451-457,共7页Chinese Journal of Solid Mechanics

摘　　要：对曲边柱壳受轴向非均匀内压作用下的大转动几何非线性3-D动力学行为进行了研究,给出了一套高效三维动力学建模与数值求解方法.基于结构静动态变形关系,采用Lagrange方程推导建立了曲边柱壳多自由度三维动力学方程,通过线性化和降阶处理获得了曲边柱壳3-D动态膨胀数值解,与LS-DYNA有限元方法求解结果一致.计算结果表明:曲边柱壳动态响应行为与内压载荷轴向分布形式关系紧密,可以通过改变内压轴向分布形式来控制结构的动态变形模式;同时发现时间步是影响论文方法计算精度的重要因素.论文研究为后续含曲边柱壳复杂系统动力学响应研究提供了参考.The 3-D dynamic behavior of curved boundary cylindrical shell with large rotation under non-uniform internal pressure along its axial direction is studied,with a special consideration of the geometric nonlinearity.An efficient method of 3Dmodeling and numerical solution is presented.Based on the relation between its static and dynamic deformations,the 3-D multi-degree of freedom equations of motion are established using Lagrange＇s equation,and the numerical solution is obtained through a series of linearization and order reduction processes,which is coincide with result from LS-DYNA.The calculation results show that the dynamic response of shell is closely related to its load distribution,which means that one can change the load distribution to realize different dynamic deformation modes.It should be pointed out,however,that the calculation accuracy of our method is significantly influenced by the time step.The present work offers some reference for follow-up research on dynamic responses of complex systems with the shell structure.

关 键 词：曲边柱壳 大转动 几何非线性 3-D动力学建模 数值解 

分 类 号：O302[理学—力学]