Continuous Systems with Odd Nonlinearities: A General Solution Procedure
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
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Math. Comput. Appl. 1997, 2(2), 85-90; https://doi.org/10.3390/mca2020085
Published: 1 August 1997
Abstract
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.
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MDPI and ACS Style
Pakdemirli, M.; Boyacı, H.; Yılmaz, M. Continuous Systems with Odd Nonlinearities: A General Solution Procedure. Math. Comput. Appl. 1997, 2, 85-90. https://doi.org/10.3390/mca2020085
AMA Style
Pakdemirli M, Boyacı H, Yılmaz M. Continuous Systems with Odd Nonlinearities: A General Solution Procedure. Mathematical and Computational Applications. 1997; 2(2):85-90. https://doi.org/10.3390/mca2020085
Chicago/Turabian StylePakdemirli, Mehmet, Hakan Boyacı, and Mehmet Yılmaz. 1997. "Continuous Systems with Odd Nonlinearities: A General Solution Procedure" Mathematical and Computational Applications 2, no. 2: 85-90. https://doi.org/10.3390/mca2020085
