摘要
采用整体分析的方法，推导出轴向力作用下两端简支多跨均匀连续梁横向振动的频率方程和振型函数的解析式。所得公式包括了连续梁中间支座约束反力不全为零和全为零两种情形，对拉压轴向力、零轴向力和任意跨数均匀连续梁都适用。最后通过实例分析，说明了轴向力对连续梁固有频率的影响。
On considering the effect of axial force, the frequency equations and the normalmode functions of uniform continuous beams simply supported at both ends and with multisupports are derived by analysis in integration. Both two cases when the supporting forces of the intermediate supports are all zero and when at least one of them is not zero are considered. The formulas can be applied to any continuous beam with any number of intermediate supports and with any axial force, either tensile or compressive. Finally, numerical examples show the effect of axial force on natural frequencies.
出处
《机械科学与技术》
CSCD
北大核心
1998年第4期541-543,547,共4页
Mechanical Science and Technology for Aerospace Engineering
关键词
连续梁
横向振动
固有频率
轴向力
Continuous beam Transverse vibration Natural frequency
