[1]马吉胜,徐达,董殿军.支承运动对悬臂梁的作用力[J].南京理工大学学报(自然科学版),1996,(05):33-36.
 Ma Jisheng Xu Da Dong Dianjun.The Applied Forces of a Moving Support to a Cantilever Beam[J].Journal of Nanjing University of Science and Technology,1996,(05):33-36.
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支承运动对悬臂梁的作用力()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1996年05期
页码:
33-36
栏目:
出版日期:
1996-10-30

文章信息/Info

Title:
The Applied Forces of a Moving Support to a Cantilever Beam
作者:
马吉胜徐达董殿军
南京理工大学机械学院, 南京210094
Author(s):
Ma Jisheng Xu Da Dong Dianjun
School of Mechanics,NUST,Nanjing 210094
关键词:
悬臂梁 作用力 动力学 Kane 方程 多体系统
Keywords:
cant ilever beam active force dynamics Kane’s equations mult ibo dy system
分类号:
O39
摘要:
该文研究了一个已知支承运动的悬臂梁。用固定支承上的悬臂梁的低阶正则模态描述该梁在支承连体系中的弹性位移。将Huston方法推广应用于梁的微元,得到微元的广义惯性力,积分后得到梁的广义惯性力。用梁单元代替梁微元,将积分化为求和。梁的广义主动力取为动支承的作用力和弹性力。由Kane方程得到梁的动力学方程,进而导出了计算支承作用力的公式。数值例子显示了梁作为柔体和刚体时支承作用的显著差异
Abstract:
In this paper, a cant ilev er beam at tached to a moving suppo rt is studied. The low -or der normal ized modes of a cantilever beam at tached to a f ixing support ar e used for descriping elast ic displacement of the beam in the reference frame f ixed o n the moving suppor t . Huston’s method is ex tended and emplo yed in kenet ic analy sis o f different ial element of the beam. The gener al ized iner tia forces of the different ial element can be derived. Integrat ing them yields the generalized inert ia for ces o f the beam. The integral can be converted into summat io n by replacing the dif ferential element w ith f inite element . T he g eneralized act ive forces of the beam are applied for ces o f the moving support and elast ic forces of the beam. The dynamic equat ions o f the beam is obtained by using Kane’s equat ions. The expressio ns for the applied for ces are derived fr om the dynamic equat ions. A numerical example shows that the applied fo rces to a f lex ible beam differ markedly f rom those to a rigid beam.

参考文献/References:

1 Kane T R, Ry an R R, Banerjee A K. Dynamics of a cantilev er beam a ttached to a mo ving base. J, Guidance , 1987, 10( 2) : 139~151
2 休斯顿, 刘又午. 多体系统动力学. 天津. 天津大学出版社, 1991

相似文献/References:

[1]冯庆兴,杨华,王良国.悬臂梁受冲击载荷作用形成的超静定问题[J].南京理工大学学报(自然科学版),1999,(02):86.
 Feng Qingxing Yang Hua Wang Liangguo.The Hyperstatic Problem in a Cantilever Beam Under Impact[J].Journal of Nanjing University of Science and Technology,1999,(05):86.

备注/Memo

备注/Memo:
国防科技预研行业基金
马吉胜 男 28 岁 博士生
更新日期/Last Update: 2013-04-11