基于Galerkin截断的薄膜-床面耦合振动响应分析  

Analysis of Thin Film-bed Surface Coupled Vibration Response Based on Galerkin Truncation

作　　者：张宗素 王婷 谭帅[3] 潜凌[3] 张启铄 杨先海[1] ZHANG Zongsu;WANG Ting;TAN Shuai;QIAN Ling;ZHANG Qishuo;YANG Xianhai(School of Mechanical Engineering,Shandong University of Technology,Zibo 255000,Shandong,China;Shandong Tian Jing Engineering Desing Co.,Ltd.,Zibo 255000,Shandong,China;Shengli Oilfield Plateau Petroleum Equipment Co.,Ltd.,Dongying 257000,Shandong,China)

机构地区：[1]山东理工大学机械工程学院,山东淄博255000 [2]山东天景工程设计有限公司,山东淄博255000 [3]胜利油田高原石油装备有限责任公司,山东东营257000

出　　处：《噪声与振动控制》2024年第2期22-26,共5页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(52075306)。

摘　　要：将废塑料薄膜进行分选回收是目前最为高效节能的塑料垃圾处理方式,废旧塑料薄膜及床面的振动会直接影响分选的效率。提出了将薄膜模型和床面模型结合建立薄膜-床面耦合系统动力学模型的方法。并通过受力分析,利用Galerkin截断将床面的变形表达为模态函数的线性组合,建立了薄膜-床面非线性耦合振动微分方程。研究了不同截断阶数对薄膜-床面耦合非线性振动动态响应的影响,确定了保证薄膜-床面耦合系统振动收敛性的Galerkin截断阶数。通过床面位移响应对此方法进行了验证和对比,结果表明Galerkin截断法适用于求解耦合系统振动分析,且计算速度较快。The separation and recovery of waste plastic film is the most efficient and energy-saving plastic waste treatment method currrently.The vibration of waste plastic film and bed surface will directly affect the efficiency of separation.The method of establishing the dynamic model of the coupled thin film-bed surface system by combining the thin film model and the bed surface model is proposed.Through force analysis,the bed surface deformation is expressed as a linear combination of modal functions by Galerkin truncation and the nonlinear coupled vibration differential equation of thin film and bed surface is established.The influence of different truncation order on the dynamic response of the coupled nonlinear vibration of thin film and bed surface is studied and the Galerkin truncation order to ensure the vibration convergence of the thin film-bed surface coupled system is determined.This method is verified and compared by the bed surface displacement response.The results show that Galerkin truncation method is suitable for solving the vibration analysis of coupled system,rapidly.

关 键 词：振动与波 薄膜-床面 耦合振动 振动分析 Galerkin截断 

分 类 号：O32[理学—一般力学与力学基础]