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Ren-He’s method for solving dropping shock response of nonlinear packaging system

In this paper, Ren-He’s method for nonlinear oscillators is adopted to give approximate solutions for the dropping shock response of cubic and cubic-quintic nonlinear equations arising from packaging system. In order to improve the accuracy of the solutions, a novel technique combining Ren-He’s method with the energy method is proposed, the maximum values of the displacement...

Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass

; Accepted 20 October 2014 Academic Editor: Jun Wang Copyright © 2015 Meng Hao and An-Jun Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits

Application of Variational Iteration Method with Energy Method for Nonlinear Equation Arisen from Packaging System

Editor: Oluwole Daniel Makinde Copyright © 2013 An-Jun Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and

Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System

The dropping damage evaluation for packaging system is essential for safe transportation and storage. A dynamic model of nonlinear cubic-quintic Duffing oscillator for the suspension spring packaging system was proposed. Then, a first-order approximate solution was obtained by applying He’s variable iteration method. Based on the results, a damage evaluation equation was derived...

He Chengtian’s Inequalities for a Coupled Tangent Nonlinear System Arisen in Packaging System

He Chengtian’s inequalities from ancient Chinese algorithm are applied to strong tangent nonlinear packaging system. The approximate solution is obtained and compared with the solution yielded by computer simulation, showing a great high accuracy of this method. The suggested approach provides a novel method to solve some essential problems in packaging engineering.