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A Hermite reproducing kernel meshfree method is present for the free and forced vibration analysis of Kirchhoff plates. This formulation provides a straightforward and robust way to construct C1 approximation to investigate the dynamic response of Kirchhoff plates. The Hermite reproducing kernel approximation of the plate deflection is formulated using the deflectional as well as the rotational nodal...
A dispersion analysis is carried out to study the dynamic behavior of the Hermite reproducing kernel (HRK) Galerkin meshfree formulation for thin beam and plate problems. The HRK approximation utilizes both the nodal deflectional and rotational variables to construct the meshfree approximation of the deflection field within the reproducing kernel framework. The discrete Galerkin formulation is fulfilled...
A Hermite reproducing kernel (HRK) Galerkin meshfree formulation is presented for free vibration analysis of thin plates. In the HRK approximation the plate deflection is approximated by the deflection as well as slope nodal variables. The nth order reproducing conditions are imposed simultaneously on both the deflectional and rotational degrees of freedom. The resulting meshfree shape function turns...
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