轴向力作用下非对称支承Euler-Bernoulli梁在过屈曲前后的横向自由振动  

PRE-BUCKLING AND POST-BUCKLING TRANSVERSE FREE VIBRATION OF AN ASYMMETRICALLY SUPPORTED EULER-BERNOULLI BEAM SUBJECTED TO AXIAL FORCE

作　　者：滕兆春[1] 李世荣[1] 

机构地区：[1]甘肃工业大学理学院,兰州730050

出　　处：《振动与冲击》2004年第4期88-90,共3页Journal of Vibration and Shock

基　　金：甘肃省自然科学基金B类项目 (ZS0 2 2 -A2 5 - 0 0 4 )

摘　　要：基于轴线可伸长杆的几何非线性理论 ,建立了Euler_Bernoulli梁在轴向载荷作用下过屈曲横向自由振动的精确模型 ,并采用打靶法数值求解了一端可移简支一端固定的Euler_Bernoulli梁在过屈曲前后的小振幅自由振动 ,获得了线性振动的响应。结果表明 ,轴向力对过屈曲前后梁的各阶固有频率均有影响。Based on geometrically non-linear theory for axially extensible rods, an exact mathematical model of post-buckling transverse free vibration of Euler-Bernoulli beams subjected to axial force are developed. By using shooting method, pre-buckling and post-buckling free vibrations of both simply supported and fixed Euler-Bernoulli beam are solved and the responses of small amplitude vibration are obtained. Results show the effect of axial force on all orders of natural frequencies.

关 键 词：过屈曲 自由振动 线性振动 打靶法 数值求解 非对称 简支 几何非线性 轴线 支承 

分 类 号：TU311.3[建筑科学—结构工程] O343[理学—固体力学]