The Spreading Residue Harmonic Balance Method for Strongly Nonlinear Vibrations of a Restrained Cantilever Beam

التفاصيل البيبلوغرافية
العنوان:	The Spreading Residue Harmonic Balance Method for Strongly Nonlinear Vibrations of a Restrained Cantilever Beam
المؤلفون:	Y. H. Qian, J. L. Pan, S. P. Chen, M. H. Yao
المصدر:	Advances in Mathematical Physics, Vol 2017 (2017)
بيانات النشر:	Hindawi Limited, 2017.
سنة النشر:	2017
المجموعة:	LCC:Physics
مصطلحات موضوعية:	Physics, QC1-999
الوصف:	The exact solutions of the nonlinear vibration systems are extremely complicated to be received, so it is crucial to analyze their approximate solutions. This paper employs the spreading residue harmonic balance method (SRHBM) to derive analytical approximate solutions for the fifth-order nonlinear problem, which corresponds to the strongly nonlinear vibration of an elastically restrained beam with a lumped mass. When the SRHBM is used, the residual terms are added to improve the accuracy of approximate solutions. Illustrative examples are provided along with verifying the accuracy of the present method and are compared with the HAM solutions, the EBM solutions, and exact solutions in tables. At the same time, the phase diagrams and time history curves are drawn by the mathematical software. Through analysis and discussion, the results obtained here demonstrate that the SRHBM is an effective and robust technique for nonlinear dynamical systems. In addition, the SRHBM can be widely applied to a variety of nonlinear dynamic systems.
نوع الوثيقة:	article
وصف الملف:	electronic resource
اللغة:	English
تدمد:	1687-9120 1687-9139
Relation:	https://doaj.org/toc/1687-9120; https://doaj.org/toc/1687-9139
DOI:	10.1155/2017/5214616
URL الوصول:	https://doaj.org/article/6e81eabc505849beae10036ae63cc2f3
رقم الانضمام:	edsdoj.6e81eabc505849beae10036ae63cc2f3
قاعدة البيانات:	Directory of Open Access Journals

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الوصف
تدمد:	16879120 16879139
DOI:	10.1155/2017/5214616