Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2009.2264.2271GhasempourM.RokniE.KimiaeifarA.RahimpourM.122009912In this study, two powerful analytical methods, called He’s Parameter-Expanding Methods (PEM) and Homotopy Analysis Method (HAM) are used to calculating displacement functions of geometrically nonlinear prestressed cable structures. In this study, the results of two methods are compared and it is shown that one term in series expansions is sufficient to obtain a solution by using the PEM. Comparison of the obtained solutions with those obtained using numerical method shows that two methods are effective and convenient for solving this problem. These two methods introduce a capable tool for solving this kind of nonlinear problems.]]>Cheng, J., S.J. Liao and I. Pop,2005He, J.H.,1998He, J.H.,2000He, J.H.,2006Hillermeier, C.,2001Hoffman, J.D.,1992Kimiaeifar, A.,2008Kimiaeifar, A. and A.R. Saidai,2008Kwan, A.S.K.,1998Liao, S.J.,1992Liao, S.J., 2003Liao, S., 2004Rahimpour, M., S.R. Mohebpour, A. Kimiaeifar and G.H. Bagheri,2008Sajid, M., I. Ahmad, T. Hayat and M. Ayub,2008Tao, Z.L., 2008Xu, L., 2007