摘要
用三角函数组合成双跨连续梁的挠度函数,写出双跨连续梁屈曲及振动的势能函数。引入拉格朗日系数,构造拉格朗日函数,把拉格朗日函数对挠度函数中待定系数求极值,即可求得双跨连续梁的临界载荷及固有频率。
The trigonometric functions are composed to form the deflection function of a two-span continuous beam,and the potential energy functions for beam buckling and vibration are written.Lagrangian coefficient is introduced to construct Lagrangian function.In the Lagrangian function the undetermined coefficients of the deflection function are solved to find the extreme value,and then the critical load and natural frequency of two-span continuous beam are obtained.
作者
吴晓
Wu Xiao(College of Mechanical Engineering Hunan University of Arts and Science,Changde Hunan 415000,China)
出处
《工程与试验》
2019年第4期5-6,共2页
Engineering and Test
关键词
连续梁
临界载荷
挠度
振动
函数
固有频率
continuous beam
critical load
deflection
vibration
function
natural frequency
