非局部弹性杆固有频率求解的传递函数法  

TRANSFER FUNCTION METHOD FOR FINDING NATURAL FREQUENCIES OF A NONLOCAL ELASTIC BAR

作　　者：雷勇军[1] 赵雪川[1] 周建平[1] 

机构地区：[1]国防科技大学航天与材料工程学院,长沙410073

出　　处：《振动与冲击》2006年第6期104-107,共4页Journal of Vibration and Shock

基　　金：国家杰出青年基金资助项目(19925209);湖南省自然科学基金项目资助(02JJY2009)

摘　　要：基于Eringen提出的非局部弹性模型,采用幂指数型核函数,导出直杆的振动方程,该振动方程与应用Eringen非局部微分本构关系得到的杆的振动方程一致,并应用传递函数法,进行了直杆的动力学分析,计算了它的固有频率和相应振型,结果表明本文方法具有一般性和通用性,并且求解问题过程统一,精度高,能够处理多种边界条件。Based on Eringen's nonlocal elastic model,dynamic analysis of a bar is presented by transfer function method with exponential form of kernel functions,the natural frequencies and the modal shape functions of the bar are obtained.The governing equation of the bar deduced is the same as the one obtained by Eringen's nonlocal differential constitutive equation.Compared with results of numerical examples,the proposed method shows its generality and higher accuracy,and problems with various boundary conditions can be solved.

关 键 词：非局部弹性 直杆 固有频率 传递函数 

分 类 号：O343.5[理学—固体力学]