Published January 1, 2012
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A relationship between three analytical approaches to nonlinear problems
- 1. Iran Univ Sci & Technol, Sch Railway Engn, Tehran 16846, Iran
- 2. Iran Univ Sci & Technol, Sch Mech Engn, Tehran 16846, Iran
- 3. Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
Description
In this work, the relationship between three analytical techniques is demonstrated. The direct relationship between the variational approach (VA) and the Hamiltonian approach (HA) is illustrated for a first approximation, and subsequently the relationship between the variational approach and the harmonic balance method (HBM) is concluded. Moreover, the relationship between HA and VA is investigated for higher order solutions. (C) 2012 Elsevier Ltd. All rights reserved.
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