In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.
机构:
Taif Univ, Fac Sci, Dept Math & Stat, POB 888, El Haweiah 21974, Taif, Saudi Arabia
Menoufia Univ, Fac Elect Engn, Dept Engn Math, Menoufia 32952, EgyptTaif Univ, Fac Sci, Dept Math & Stat, POB 888, El Haweiah 21974, Taif, Saudi Arabia
Hamed, Y. S.
El Shehry, A.
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Bisha Univ, Fac Sci & Arts, Dept Math, Bisha, Saudi ArabiaTaif Univ, Fac Sci, Dept Math & Stat, POB 888, El Haweiah 21974, Taif, Saudi Arabia
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Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R China
Hu, Jingjing
Hu, Weipeng
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Xian Univ Technol, Sch Civil Engn & Architecture, Xian 710048, Shaanxi, Peoples R China
Xian Univ Technol, State Key Lab Ecohydraul Northwest Arid Reg China, Xian 710048, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R China
Hu, Weipeng
Zhou, Yangxin
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Xian Univ Technol, Sch Civil Engn & Architecture, Xian 710048, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R China
Zhou, Yangxin
Xiao, Chuan
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China Res & Dev Acad Machinery Equipment, Beijing 100089, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R China
Xiao, Chuan
Deng, Zichen
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Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R ChinaNorthwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Shaanxi, Peoples R China