APPLICATION OF MAX MIN APPROACH AND AMPLITUDE FREQUENCY FORMULATION TO NONLINEAR OSCILLATION SYSTEMS

作者：Ganji Davood Domiri; Azimi Mohammadreza

来源：Polytechnical University of Bucharest Scientific Bulletin Series A- Applied Mathematics and Physics, 2012, 74(3): 131-140.

• nonlinear oscillation
• max min approach
• amplitude frequency formulation
• analytical solution

This paper applied the Max-Min Approach (MMA) and Amplitude Frequency Formulation (AFF) to derive the approximate analytical solution or motion of nonlinear free vibration of conservative, single degree of freedom systems. In both nonlinear problems MMA and AFF yields the same results. In comparison to forth-order runge-kutta method which is powerful numerical solution, the results show that these methods are very convenient for solving nonlinear equations and also can be used for the wide range of time and boundary conditions for nonlinear oscillators.

• 出版日期2012