轴向移动悬臂梁振动响应及模型预测控制  

Vibration response and model predictive control of an axially moving cantilever beam

作　　者：陈浩 陈继开 段应昌 贺宇锋 罗翔[1] CHEN Hao;CHEN Jikai;DUAN Yingchang;HE Yufeng;LUO Xiang(School of Mechanical Engineering,Southeast University,Nanjing 211189,China;Training Base,Army Engineering University of PLA,Nanjing 210001,China)

机构地区：[1]东南大学机械工程学院,南京211189 [2]陆军工程大学训练基地,南京210001

出　　处：《振动与冲击》2021年第24期269-274,共6页Journal of Vibration and Shock

基　　金：湖北省200W重大专项(2018AAA026);湖北省自然科学基金(2019CFB326);湖北工业大学博士启动基金(BSQD2016003)。

摘　　要：平推式架桥车的架设过程可简化为持续受外界激励力的轴向移动悬臂梁系统。采用拉格朗日法推导了系统的时变动力学方程,并选用幂级数函数作为试函数的Galerkin法进行离散求解;同时分析了架设速度对桥梁的振动影响,给出合适的架设速度策略;最后提出了基于Newmark法的模型预测控制对桥梁进行抑振控制,讨论了控制策略中相关参数对振动控制的影响并给出了合适的取值范围。结果对比表明基于Newmark法的模型预测控制效果明显,鲁棒性好。The erection process of military bridge vehicles was simplified into an axially moving cantilever beam system that is continuously stimulated by external forces.The Lagrange method was used to derive the time-varying dynamics equation of the system,and the Galerkin method with power series function as trial function was used to solve the discrete equation.At the same time,the influence of erection speed on the vibration of the bridge was analyzed,and suitable erection speed strategy was given.Finally,model predictive control based on a Newmark method was proposed to actively control the vibration of the bridge.The influence of relevant parameters in the control strategy on vibration control was discussed and a suitable value range was given.The comparison of the results shows that model predictive control based on the Newmark method has obvious control effect and good robustness.

关 键 词：轴向移动悬臂梁 振动响应 NEWMARK法 模型预测控制 

分 类 号：O328[理学—一般力学与力学基础] TJ812.2[理学—力学]