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RESEARCH PRODUCT
Orthotropic plate dynamics by a novel meshfree method
Giuseppe DaviAlberto MilazzoIvano Benedettisubject
Diffuse element methodDiscretizationContinuum (measurement)Plate theoryMathematical analysismedicineStiffnessMeshfree methodsGeometrymedicine.symptomOrthotropic materialFinite element methodMathematicsdescription
Publisher Summary This chapter deals with a novel meshfree method for the dynamic analysis of orthotropic plates under the Kirchhoff small deflection theory. The approach starts from a modified function whose stationarity conditions lead to the meshfree plate dynamic model through a discretization process—based on the use of orthotropic plate static fundamental solutions. The resolving system obtained is characterized by—frequency independent stiffness and mass matrices, which preserve the symmetry and definiteness properties of the continuum. Moreover, these operators are computed by boundary integrals of regular kernels. The method allows the application of standard numerical routines available for finite element dynamic models.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-01-01 |