Direct treatment and discretizations of non-linear dynamics of suspended cable

doi:10.6052/0459-1879-2005-3-2003-478

Article Contents

Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 2005 > 37(3): 329-338

Direct treatment and discretizations of non-linear dynamics of suspended cable[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 329-338. doi: 10.6052/0459-1879-2005-3-2003-478

Citation:

Direct treatment and discretizations of non-linear dynamics of suspended cable[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 329-338. doi: 10.6052/0459-1879-2005-3-2003-478

Direct treatment and discretizations of non-linear dynamics of suspended cable[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 329-338. doi: 10.6052/0459-1879-2005-3-2003-478

Citation:

Direct treatment and discretizations of non-linear dynamics of suspended cable[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 329-338. doi: 10.6052/0459-1879-2005-3-2003-478

PDF( 1447 KB)

Direct treatment and discretizations of non-linear dynamics of suspended cable

doi: 10.6052/0459-1879-2005-3-2003-478

湖南长沙,湖南大学工程力学系,410082

Publish Date: 2005-05-18

Abstract

Abstract

The applications of direct treatment anddiscretizations of non-linear dynamics are investigated in thispaper. These two approaches are applied to attack the primaryresonance of the $n$th mode of suspended cables. These lead toobtain the second order approximate solutions and the associatedfrequency-response curves. The results obtained with these twoapproaches are compared. And the differences of these results arediscussed. Finally, the results are obtained that thediscretization of nonlinear dynamic of non-symmetric structure maylead to erroneous results.
- direct treatment,discretizations,cables,nonlinear response,the method of multiple scales