Higher-order approximate analytical solutions to nonlinear oscillatory systems arising in engineering problems
作者: Mostafa MohammadianMehdi Akbarzade
作者单位: 1Islamic Azad University
2Ferdowsi University of Mashhad
刊名: Archive of Applied Mechanics, 2017, Vol.87 (8), pp.1317-1332
来源数据库: Springer Journal
DOI: 10.1007/s00419-017-1252-y
关键词: Nonlinear frequencyGlobal residue harmonic balance methodConservative systemApproximate solution
英文摘要: In the current paper, a powerful approximate analytical approach namely the global residue harmonic balance method (GRHBM) is proposed for obtaining higher-order approximate frequency and periodic solution of nonlinear conservative oscillatory systems arising in engineering problems. The proposed method has a main difference with other traditional harmonic balance methods such that the residual errors obtained in pervious order approximation are used in the present one. Comparison of the obtained results with the exact and numerical solution as well as well-known analytical methods such as Hamiltonian approach, Max–Min approach, variational approach, and He’s amplitude–frequency formulation reveals the correctness and usefulness of the GRHBM. It is shown that the results are valid for...
原始语种摘要: In the current paper, a powerful approximate analytical approach namely the global residue harmonic balance method (GRHBM) is proposed for obtaining higher-order approximate frequency and periodic solution of nonlinear conservative oscillatory systems arising in engineering problems. The proposed method has a main difference with other traditional harmonic balance methods such that the residual errors obtained in pervious order approximation are used in the present one. Comparison of the obtained results with the exact and numerical solution as well as well-known analytical methods such as Hamiltonian approach, Max–Min approach, variational approach, and He’s amplitude–frequency formulation reveals the correctness and usefulness of the GRHBM. It is shown that the results are valid for...
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:1.035 (2012)

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关键词翻译
关键词翻译
  • analytical 分析的
  • solution 溶液
  • approximate 近似的
  • nonlinear 非线性的
  • oscillatory 振动的
  • balance 平衡
  • studied 学习
  • engineering 工程
  • harmonic 谐波
  • variational 变化的