Approximate analytical solutions to a conservative oscillator using global residue harmonic balance method
作者: Mostafa MohammadianMahmoud Shariati
作者单位: 1Department of Mechanical Engineering, Kordkuy center, Gorgan branch, Islamic Azad University, Kordkuy, Iran
2Department of Mechanical Engineering, Ferdowsi university of Mashhad, Mashhad, Iran
刊名: Chinese Journal of Physics, 2017, Vol.55 (1), pp.47-58
来源数据库: Elsevier Journal
DOI: 10.1016/j.cjph.2016.11.007
关键词: Global residue harmonic balance methodNonlinear vibrationsConservative oscillatorApproximate analytical method
原始语种摘要: Abstract(#br)In the current research paper, a conservative system comprising of a mass grounded by linear and nonlinear springs in series connection is studied. The equation of motion for the aforementioned system has been derived as a nonlinear ordinary differential equation with inertia and static–type cubic nonlinearities. The global residue harmonic balance method is applied to obtain an approximate analytical frequency and periodic solution of the problem. Using the obtained analytical expressions, the influences of the hardening and softening nonlinear spring on the non–dimensional frequency are investigated. The results show that developing the system nonlinearity leads the displacement of the mass and the deflection of linear spring to approach each other. Moreover, comparison of...
全文获取路径: Elsevier  (合作)