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RISQuasi-Periodic Solutions of a Damped Nonlinear Quasi-Periodic Mathieu Equation by the Incremental Harmonic Balance Method With Two Time Scales
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Quasi-periodic (QP) solutions of a damped nonlinear QP Mathieu equation with cubic nonlinearity are investigated by using the incremental harmonic balance (IHB) method with two time scales. The damped nonlinear QP Mathieu ...
A Direction Interpolation Method Based on the Trigonometric Collocation Method and the Runge–Kutta Method
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Abstract. The direction interpolation method (DIM) based on the trigonometric collocation method and the Runge–Kutta (RK) method is developed in this work to track periodic responses in nonlinear systems. For traditional ...