Dynamical analysis of Kirchhoff plates by an explicit time integration Morley element method☆

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Abstract

An explicit time integration finite element method is proposed to investigate dynamical analysis of Kirchhoff plates, where the Morley element is used for spatial discretization and the second-order central scheme for time discretization. Certain error estimates in the energy norm are achieved. A number of numerical results are included to show computational performance of the method.

Keywords

Dynamical analysis
Kirchhoff plates
Morley element
Explicit time integration
Error estimates

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The work was partly supported by NNSFC (10771138), Shanghai Natural Science Foundation (10ZR1422100), E–Institutes of Shanghai Municipal Education Commission (E03004), Shanghai Leading Academic Discipline Project (S30405), Innovation Program of Shanghai Municipal Education Commission (09YZ153).

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