Titlebook: Galloping Instability to Chaos of Cables; Albert C. J. Luo,Bo Yu Book 2017 Springer Nature Singapore Pte Ltd. and Higher Education Press,

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Nonlinear Dynamical Systems,ssed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed. The higher order singularity and stability for nonlinear systems on the specific eigenvectors will be developed.

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Two-Degree-of-Freedom Nonlinear Oscillators,with the finite Fourier series expression are obtained from the generalized harmonic balance method, and the stability and bifurcation analyses of the corresponding period-. motions in the two-degree-of-freedom system are carried out.

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Albert C. J. Luo,Bo YuThe first-ever book that completely solves fluid-induced vibrations.Provides analytical solutions of cable galloping with instructive illustrations.Determines the frequency-amplitude characteristics o

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Analytical Methods, the finite Fourier series for expression of periodic solutions in nonlinear dynamical systems. Further, using Functional analysis, the coefficients of the Fourier series will be determined. Once the coefficients are determined, the analytical solutions of periodic motions are determined.

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https://doi.org/10.1007/978-3-322-81359-6frequency amplitudes. Numerical illustrations of trajectories and amplitude spectrums are given for galloping motions in nonlinear cables. From such analytical solutions, galloping phenomenon in flow-induced vibration can be further understood.

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Nonlinear Cable Galloping,frequency amplitudes. Numerical illustrations of trajectories and amplitude spectrums are given for galloping motions in nonlinear cables. From such analytical solutions, galloping phenomenon in flow-induced vibration can be further understood.