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Harmonic balance-automatic differentiation method: A practical nonlinear dynamics solver

Yi Chen, Yuhong Jin, Rongzhou Lin, Yifan Jiang, Xutao Mei, Lei Hou, Yilong Wang, Ng Teng Yong, Anxin Guo

2026International Journal of Mechanical Sciences7 citationsDOI

Topics & Concepts

Automatic differentiationNumerical differentiationJacobian matrix and determinantComputer scienceNonlinear systemSolverHarmonicHarmonic balanceCUDAAlgorithmComputationDomain (mathematical analysis)Control theory (sociology)Rotor (electric)SpeedupNewton's methodComputational scienceDamperTime domainFrequency domainAccelerationVibrationCatenaryMathematical optimizationMathematicsNonlinear programmingBladed Disk Vibration DynamicsModel Reduction and Neural NetworksMagnetic Bearings and Levitation Dynamics
Harmonic balance-automatic differentiation method: A practical nonlinear dynamics solver | Litcius