河南理工大学学报（自然科学版）2013，Vol.32Issue(3)：342-346,5.
Euler梁受横向冲击的解析解
Analytical approach for transverse impact of Euler beam
摘要
Abstract
It was studied that the problem of an Euler beam with difference elastic modulus in tension and compression impacted by a heavy weight.The impacted beam with difference elastic modulus in tension and compression was simplified as an elastic system with a single degree of freedom which composed by a concentrated mass and a spring without weight,thus the problem of an Euler beam impacted by a heavy weight can be simplified as a single-degree-of-freedom elastic system with a concentrated mass impacted by a heavy weight.Then function expressions for an impact force,impact time,a dynamic load coefficient were derived by a dynamic equation.The defects of the energy method,which can only give the maximum dynamic load coefficient,was overcome.The numerical example showed that the problem of an Euler beam with difference elastic modulus in tension and compression impacted by a heavy weight may as well not being simplified as the problem of an Euler beam with same elastic modulus,and should take the effects of difference elastic modulus in tension and compression into consideration.关键词
弹性系统/弹性模量/Euler梁/冲击/动载荷Key words
elastic system/elastic modulus/Euler beam/impact/dynamic load分类
数理科学引用本文复制引用
吴晓,罗佑新,杨立军..Euler梁受横向冲击的解析解[J].河南理工大学学报（自然科学版）,2013,32(3):342-346,5.基金项目
湖南省十二五重点建设学科项目(湘教发2011[76]). （湘教发2011[76]）
