细长压杆稳定分析的对称性方法  

The Application of Symmetry on the Stability of Compressive Member

作　　者：夏超凡 周宇晨 徐情怡 XIA Chaofan;ZHOU Yuchen;XU Qingyi(Jiangsu Testing Center for Quality of Construction Engineering Co.,Ltd.,Nanjing Jiangsu 210028,China)

机构地区：[1]江苏省建筑工程质量检测中心有限公司,江苏南京210028

出　　处：《工程质量》2018年第4期83-86,共4页Construction Quality

摘　　要：利用系统构型和载荷的对称性对分析模型进行简化是力学建模的重要环节,针对细长压杆稳定性的高阶模态分析问题,采用对称性方法,分析两端铰支和两端固定细长压杆的屈曲模态和特征值表达式,建立了对称压杆与非对称压杆屈曲载荷之间的联系,比较了压杆稳定性分析中四阶和二阶微分方程方法的特征,计算实例证明提出的方法有效。Symmetry of system configuration and loads may simplify the analytical model,which is an important tool of mechanical modeling.To the stability research of compressive slender rod member of higher modes,the symmetric method is applied to analyze the buckling modes and eigen value expressions of simply supported and clamped members.The relation between buckling lodes of symmetric and asymmetric members is obtained.Besides,the character comparison of fourth-order and second-order differential equations in the analysis of the stability is presented.The calculation example proves the method reliable.

关 键 词：压杆稳定 屈曲荷载 对称性 

分 类 号：O317.3[理学—一般力学与力学基础]