In this paper we propose to fabricate a microcantilever beam actuator using thin layer PZT
material. The multilayered microbeam is initially curved due to fabrication process. The …

To save the manipulation cost for seeking a higher order approximation to enhance the
accuracy of analytic solution, the present paper develops a novel perturbation method by …

In recent years, much research has been done on nonlinear vibrations, and analytical and
numerical methods have been used to solve complex nonlinear equations. The behavior of …

The study presents an alternative analytical method called Newton Harmonic Balance
Method (NHBM) to provide an analytical solution for two nonlinear differential equations that …

Abstract This paper considers (1+ 1) dimensional conservative oscillatory systems with
polynomial nonlinearities in the double limit of high amplitude (x max→∞) and high leading …

In this paper, an analytical approximate technique based on modified harmonic balance
method is presented to study about the dynamics of a finite extensibility nonlinear oscillator …

In this paper, using Newton's Harmonic Balance Method (NHBM), nonlinear vibrations of
marine risers are investigated. The Newton harmonic method is approximate and similar to …

The Jacobi method is a generalization of the simplex method for solving linear problems, or
in other words, the Jacobi method is in a special case the same as the simplex method. One …