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The theoretical discharge behaviour of the plates either separately or in a cell was compared.
The buckling behaviour of the plates can be expressed through a group of nonlinear partial differential equations for both the contact and non-contact parts of the plate.
Because the effect of the microstructure on dynamic behaviour of the plates under consideration plays a crucial role the tolerance modelling method is applied, cf. Kaźmierczak and Jędrysiak, Engng.
The strength behaviour of the plates under a progressively increasing longitudinal in-plane load are shown to be affected by a number of parameters including the alloy, geometric imperfection shape, heat affected zone distribution, level of heat softening and residual stress distribution.
The Rayleigh-Ritz approach, with a deflection function formulation for both the in- and out-of-plane behaviour of the plates, is used since this permits the convenient modelling of various types of in-plane boundary conditions, including those encountered in the experimental study.
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It is demonstrated that the optimized mass positions significantly improve the vibrational behaviour of the plate.
Numerical results are presented in figures to clarify the dynamic behaviour of the plate.
The results obtained in this study provide important information about the behaviour of the plate near the discontinuity.
The plastic buckling behaviour of the plate is captured by using the incremental and deformation theories of plasticity.
Both the incremental theory of plasticity and the deformation theory of plasticity are considered in bounding the plastic behaviour of the plate.
The final part of the paper deals with optimisation of the mass positions in order to improve the vibrational behaviour of the plate.
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