Enhanced He’s frequency-amplitude formulation for nonlinear oscillators
Alex Elı́as-Zúñiga, Luis Manuel Palacios-Pineda, Isaac H. Jiménez-Cedeño, Óscar Martínez-Romero, Daniel Olvera-Trejo
Abstract
In this article, a trial residual Jacobi elliptic weighted function is introduced to obtain the frequency-amplitude expression of nonlinear oscillators using He’s formulation. Simulation results show an improvement in the accuracy of the frequency values when compare to numerical integration simulations.
Topics & Concepts
AmplitudeNonlinear systemResidualFunction (biology)Elliptic functionElliptic integralExpression (computer science)Numerical integrationMathematical analysisMathematicsApplied mathematicsPhysicsControl theory (sociology)AlgorithmComputer scienceOpticsQuantum mechanicsArtificial intelligenceControl (management)Programming languageBiologyEvolutionary biologyFractional Differential Equations SolutionsModel Reduction and Neural NetworksAdvanced Adaptive Filtering Techniques