摘要
为了研究悬挂式振动设备启动瞬态共振的产生机理与抑制方法,提出了考虑几何非线性的轴向受力横向大变形柔性吊杆梁模型,并基于异步电机瞬态过程理论,对悬挂式振动设备启动多场耦合瞬态过程进行了数值模拟。采用非线性弹性理论和Euler-Bernoulli梁理论建立了非线性柔性吊杆梁力学模型并进行了数值求解,得到了柔性吊杆自由端横向变形非线性弹性特性曲线。考虑异步电动机瞬态过程,建立了振动设备刚、柔、电启动瞬态过程多场耦合模型。数值仿真结果揭示了振动设备瞬态共振的产生机理和偏心距自调激振方式瞬态共振的抑制机理。在相同条件下,电磁转矩振荡衰减时间在原激振方式下约为0.5 s,在自调式激振方式下低于0.2 s;最大瞬态振幅在原激振方式下为133.89 mm,在自调式激振方式下为90.6 mm,瞬态共振得到了很好的抑制。
To study the generating and inhibiting suspension vibration machines, a beam mechanics mechanism of the starting transient resonance in model of flexible suspenders with large lateral deformation and axial force is proposed considering geometric nonlinearity. The multi-field coupling transient starting process of a suspension vibration machine is numerical simulated based on the transient starting theory of asynchronous motors. A nonlinear beam mechanics model of a flexible suspender is established using nonlinear elasticity theory and Euler-Bernoulli theory and numerically solved,and a nonlinear elasticity characteristic curve of lateral deformation on the free end of the flexible suspender is obtained. Considering the transient starting of asynchronous motors, a rigid, soft and electric multi-field coupling mathematical model during starting period is established. The simulation results reveal the generating mechanism of the starting transient resonance and the inhibiting mechanism of starting transient resonance of eccentricity self-adjustable inertial exciter. Under the same condition, the vibration attenuation time of electromagnetic torque of inertial exciter is about 0.5 s, and that of self-adjustable inertial exciter is below 0.2 s, the maximum instantaneous amplitude of inertial exciter is 133.89 mm, and that of self-adjustable inertial exciter is 90.6 mm. The transient resonance of self-adjustable inertial exciter is restrained well.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2014年第6期802-810,共9页
Journal of Nanjing University of Science and Technology
基金
国家自然科学基金(51376090
51375241)
关键词
悬挂
振动设备
多场耦合
瞬态
几何非线性
柔性吊杆
异步电机
非线性弹性理论
suspension
vibration machines
multi-field coupling
transience
geometric nonlinearity
flexible suspenders
asynchronous motors
nonlinear elasticity theory
