技術者教育のための工学数理の力学教材の改定(40): 遅延微分方程式入門,遅延Duffing 方程式の調和バランス法と多重尺度法による解析

概要

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To update education materials of Mechanics in Engineering Science for Engineering Education, delay differentialequations are introduced to study how they work in nonlinear oscillation systems and engineering applications. Aftera short review on Duffing equation, the method of harmonic balance is used to pick up typical features of the equation, asa fundamental analytical approach. Some examples of the delay effects on the oscillations expressed by linear equationsand Duffing equation are shown using Mathematica, and this approach may be extended to oscillation problems in variousengineering applications. Such items on applied mathematics will be added further with the aid of tools like Mathematica
沼津工業高等専門学校の論文
2014-03-31