The extended Galerkin method for approximate solutions of nonlinear vibration equations

J Wang, R Wu - Applied sciences, 2022 - mdpi.com
Featured Application This is a novel procedure for solving nonlinear equations of vibrations
with asymptotic solutions. It is an extension to the popular Galerkin method by adding an …

The extended Rayleigh-Ritz method for an analysis of nonlinear vibrations

J Wang - Mechanics of Advanced Materials and Structures, 2022 - Taylor & Francis
An extension has been made with the popular Rayleigh-Ritz method by integrating the
energy functional over the time of one period of vibration to eliminate the harmonics from the …

[PDF][PDF] The Extended Rayleigh-Ritz Method for Approximate Solutions of Nonlinear Vibration Equations

J Wang, R Wu - ResearchGate, Sept, 2021 - researchgate.net
An extension has been made with the popular Rayleigh-Ritz method by integrating the
Lagrangian functional of a vibration equation of motion over one period of vibrations to …

[PDF][PDF] Nonlinear Free Vibration of a Cantilever Beam Using the Power Series Method

MI Qaisi - davidpublisher.com
An analytical approach based on the power series method is used to analyze the free
vibration of a cantilever beam with geometric and inertia nonlinearities. The time variable is …