高空作业平台臂架伸缩运动的横向振动特性

为了探究高空作业平台做伸缩运动时变幅平面内的横向振动动力学特性，针对臂架的实际搭接和支承情况，将臂架等效为根部铰接、中间弹性支承且带有集中参数的变截面变长度梁. 基于牛顿第二定律建立各臂段的运动微分方程，采用模态叠加法、结合边界条件求解臂架一系列时刻的瞬态振型函数，曲线拟合时变参数以近似表示梁的振型，并依据伽辽金截断方法，得到广义坐标下的状态空间方程. 在Matlab/Simulink环境下进行动态仿真，得到伸缩过程中臂架头部的变幅平面横向振动动态响应. 结果表明，就横向振动振幅而言，搭接简化会带来15.63%计算结果误差；支承简化会加大臂架整体刚度、减小臂架振动响应，不可取。

Lateral vibration behaviors of boom expansion of aerial work platform

The telescopic boom was treated as a variable section and variable length beam with concentrated parameters, pined at the end and flexibly supported in the middle, in order to investigate the luffing transverse plane dynamic behaviors of aerial work platforms during telescopic motion. Firstly based on Newton’s second law of motion, the differential equations of each arm were established. And then transient mode functions at a series of time points were obtained by using mode superposition method and boundary condition. After that the time-varying parameters of the mode function were fitted to approximately represent the mode of the beam. The state space equations of generalized coordinates could be built in terms of Galerkin truncation method. At last, the luffing plane transverse vibration response dynamic response of boom’s tip was simulated by using Matlab/Simulink during telescopic movement. Results show that as far as the amplitude of lateral vibration is concerned, the simplification of the connection situation will bring the calculation result error of 15.63%, and the simplification of support situation will increase the stiffness of the boom and reduce the response of vibration of the boom, which is not desirable.