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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 1997, 2(2), 85-90;

Continuous Systems with Odd Nonlinearities: A General Solution Procedure

Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
Authors to whom correspondence should be addressed.
Published: 1 August 1997
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A generalized equation of motion with odd nonlinearities is considered. The nonlinearities of cubic and fifth order are represented in the form of arbitrary operators. The equation of motion, in its general form, may model a class of partial differential equations encountered in vibrations of continuous systems. Approximate analytical solutions are sought using the method of multiple scales, a perturbation technique. Forced vibrations with viscous damping are considered. Frequency-response relation is derived in its most general form. Finally, an application to a specific problem is given.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Pakdemirli, M.; Boyacı, H.; Yılmaz, M. Continuous Systems with Odd Nonlinearities: A General Solution Procedure. Math. Comput. Appl. 1997, 2, 85-90.

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