## Application of variational iteration method for dropping damage evaluation of the suspension spring packaging system.(English)Zbl 1470.90003

Summary: 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, which reveals the main controlling physical parameters for damage potential of drop to packaged products concretely. Finally, the dropping damage boundary curves and surfaces for the system were discussed. It was found that decreasing the suspension angle can improve the safe region of the system.

### MSC:

 90-08 Computational methods for problems pertaining to operations research and mathematical programming 65L99 Numerical methods for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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### References:

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