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RISA New Incremental Harmonic Balance Method With Two Time Scales for Quasi-Periodic Motions of an Axially Moving Beam With Internal Resonance Under Single-Tone External Excitation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Quasi-periodic motion is an oscillation of a dynamic system characterized by m frequencies that are incommensurable with one another. In this work, a new incremental harmonic balance (IHB) method with only two time scales, ...
Nonlinear Dynamics of a High Dimensional Model of a Rotating Euler–Bernoulli Beam Under the Gravity Load
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Nonlinear dynamic responses of an Euler–Bernoulli beam attached to a rotating rigid hub with a constant angular velocity under the gravity load are investigated. The slope angle of the centroid line of the beam is used ...
A Modified Two-Timescale Incremental Harmonic Balance Method for Steady-State Quasi-Periodic Responses of Nonlinear Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A modified two-timescale incremental harmonic balance (IHB) method is introduced to obtain quasi-periodic responses of nonlinear dynamic systems with combinations of two incommensurate base frequencies. Truncated Fourier ...
Quasi-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 ...
Quasi-Periodic Motions of a Gear Transmission System With Piecewise Linearities by the Incremental Harmonic Balance Method With Two Timescales
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Quasi-periodic motions can be numerically found in piecewise-linear systems, however, their characteristics have not been well understood. To illustrate this, an incremental harmonic balance (IHB) method with two timescales ...
Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Periodic and period-doubling vibrations in a gear transmission system subjected to forced excitations with multipiecewise linear functions are investigated in this work by using the incremental harmonic balance (IHB) method. ...