摘要
以两端铰支直梁的大范围直线运动为研究对象,建立了直梁纵横运动的动力学模型,利用多尺度法,求解了纵横向运动微分方程,解决了纵向运动对横向运动的耦合影响关系,为研究非线性动力学特性奠定了基础,并计算了主共振响应.通过对文中的算例结果与非线性有限元计算结果比较,得出两种计算结果相差很小,证明该动力学模型是正确的.从计算结果可知,在一阶共振外部激振条件下,2,3阶振幅同样为零.
The dynamic model for the longitudinal and transverse movements of a simply supported beam with large overall straight-line motions is established.The coupling relation of the transverse and longitudinal motions is obtained by solving the differential equation with the method of multiple scales,and the principal resonance response calculated.Comparison of the results with those of the nonlinear finite element method shows little difference,which confirms the validity of the dynamic model.The second and third order amplitudes vanish under the condition of a resonant external excitation.
出处
《江苏科技大学学报（自然科学版）》
CAS
2012年第2期107-112,共6页
Journal of Jiangsu University of Science and Technology:Natural Science Edition
关键词
大范围直线运动
动力学
大挠度振动
非线性
直梁
large overall straight-line motion
vibration
dynamics
large deflection vibration
nonlinearity
