燕山大学学报Issue(6)：507-512,6.DOI:10.3969/j.issn.1007-791X.2013.06.006
惯性边界下梁的非线性振动分析
Analysis on nonlinear vibration of inertial boundary beam
摘要
Abstract
Based on the vibration of steel rolls and the strip in the process of rolling, the strip is simplified to Euler beam, the rolls are simplified to inertia components. Firstly, the longitudinal and lateral motion equations of a beam is derived by Hamilton's prin-ciple, the inertial boundary is established. Then the Kantorovich method is used to reduce the motion equations. Finally, the modified iteration method is employed to solve the nonlinear vibration equations. According to the results of numerical analysis, the amplitude frequency response curves of the beams are obtained, and the change rule of nonlinear behavior is studied, the rela-tionships between the vibration frequency of the beam with inertial boundary conditions and the length of the beam or the rotational inertia of the inertia components are discussed.关键词
Euler梁/惯性边界条件/非线性振动/修正迭代法/Kantorovich平均法Key words
Euler beam/inertial boundary/nonlinear vibration/modified iteration method/method of Kantorovich分类
通用工业技术引用本文复制引用
胡发科,杜国君,王莹楠,卢久红,刘哲..惯性边界下梁的非线性振动分析[J].燕山大学学报,2013,(6):507-512,6.基金项目
河北省自然科学基金资助项目 （）
