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We address two key challenges in the present formulation.
In the present formulation, distributed loadings are taken into account.
A consistent mass matrix is adopted in the present formulation.
In the present formulation, the optimization technique was extended to handle continuous design variables.
Heterogeneous exponentially graded materials and quasistatic time variations are considered in the present formulation.
Isolation elements composed by rubber bearings are used in the present formulation.
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The effects of warping stiffness, shear deformation and rotary inertia are included in the present formulations.
The effects of shear deformation and rotatory inertia are included in the present formulations.
The effects of warping stiffness, axial force, shear deformation and rotary inertia are included in the present formulations.
Due to the unequal properties in the two principal directions, the present formulation results in two sets of modified influence coefficients.
The previous simple cases (in Sect. 4) verified the present formulation.
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