Concepedia

Comparison of two algorithms for Harmonic Balance and path continuation

Lukas Woiwode, Nidish Narayanaa Balaji, Jonas Kappauf, Fabia Tubita, Louis Guillot, Christophe Vergez, Bruno Cochelin, Aurélien Grolet, Malte Krack

Mechanical Systems and Signal Processing · 2019 · 76 citations · 24 references

Open access

Concepts

ComputingComputer ScienceMathematicsAlgorithmsComputational MechanicsHarmonic AnalysisNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsBoundary Value Problem SolversHarmonic Balance AnalysisNumerical Continuation

References

24

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

Natural Sciences, Physics, Differential Equations +8

The Application of Newton’s Method to the Problem of Elastic Stability

E. Riks · Journal of Applied Mechanics · 1972 · 763 citations

Natural Sciences, Mechanical Engineering, Applied Mechanics +13

Computation of Unsteady Nonlinear Flows in Cascades Using a Harmonic Balance Technique

Kenneth C. Hall, Jeffrey Thomas, W. Scott Clark · AIAA Journal · 2002 · 717 citations

Natural Sciences, Computational Engineering, Physics +14

An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems

Timothy Cameron, J. H. Griffin · Journal of Applied Mechanics · 1989 · 603 citations

Engineering, Computational Engineering, Computational Mechanics +16

Galerkin's procedure for nonlinear periodic systems

Minoru Urabe · Archive for Rational Mechanics and Analysis · 1965 · 329 citations

Computing, Computational Engineering, Computational Mechanics +11