TY - JOUR
T1 - Approximate solutions for nonlinear oscillation of a mass attached to a stretched elastic wire
AU - Durmaz, Seher
AU - Altay Demirba, Sezgin
AU - Kaya, Metin Orhan
PY - 2011/2
Y1 - 2011/2
N2 - In this paper, the approximate solutions of the mathematical model of a mass attached to a stretched elastic wire are presented. At the beginning of the study, the equation of motion is derived in a detailed way. He's maxmin approach, He's frequencyamplitude method and the parameter-expansion method are implemented to solve the established model. The numerical results are further compared with the approximate analytical solutions for both a small and large amplitude of oscillations, and a very good agreement is observed. The relative errors are computed to illustrate the strength of agreement between the numerical and approximate analytical results.
AB - In this paper, the approximate solutions of the mathematical model of a mass attached to a stretched elastic wire are presented. At the beginning of the study, the equation of motion is derived in a detailed way. He's maxmin approach, He's frequencyamplitude method and the parameter-expansion method are implemented to solve the established model. The numerical results are further compared with the approximate analytical solutions for both a small and large amplitude of oscillations, and a very good agreement is observed. The relative errors are computed to illustrate the strength of agreement between the numerical and approximate analytical results.
KW - He's frequencyamplitude method
KW - He's maxmin approach
KW - Nonlinear oscillator
KW - Parameter-expansion method
UR - http://www.scopus.com/inward/record.url?scp=78951488885&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2010.12.003
DO - 10.1016/j.camwa.2010.12.003
M3 - Article
AN - SCOPUS:78951488885
SN - 0898-1221
VL - 61
SP - 578
EP - 585
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 3
ER -