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- Title
1755. Correction of max-min approach for analyzing shock response of strongly nonlinear system.
- Authors
Hong-wei Li; Jun Wang
- Abstract
A novel method combining max-min approach (MMA) with energy method is proposed for the derivation of the approximate analytical solution for shock response of the strong nonlinear system. MMA is used to evaluate the governing differential equation with nonlinearity terms and to obtain the approximate solution. The maximum shock response displacement of the system is obtained by energy method, and then the approximation solution by MMA is corrected. Three examples are given to illustrate the validity of the method. It is shown that the corrected MMA method always lead to a better approximate solution for different kinds of nonlinear problems. The results provides a new simple but effective method for the analysis of shock response of strong nonlinear problems.
- Subjects
MECHANICAL shock measurement; NONLINEAR systems; DIFFERENTIAL equations; QUANTUM perturbations; DYNAMICS
- Publication
Journal of Vibroengineering, 2015, Vol 17, Issue 6, p3286
- ISSN
1392-8716
- Publication type
Article