Mechanics of Advanced Materials and Structures · 2014 · 119 citations · 58 references
EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsFinite Element FormulationFracture MechanicsPlate AnalysisPlate TheoryStructural Finite Element AnalysisVibration AnalysisCompatibility ConditionsFinite Element Methods For PlatesFinite Element Structural AnalysisFree Vibrations Of PlatesGeometric DiscontinuitiesNatural CoordinatesNumerical Solutions Of Partial Differential EquationsPlate Finite Element Analysis
The dynamic behavior of moderately thick FGM plates with geometric discontinuities and arbitrarily curved boundaries is investigated. The Generalized Differential Quadrature Finite Element Method (GDQFEM) is proposed as a numerical approach. The irregular physical domain in Cartesian coordinates is transformed into a regular domain in natural coordinates. Several types of cracked FGM plates are investigated. It appears that GDQFEM is analogous to the well-known Finite Element Method (FEM). With reference to the proposed technique the governing FSDT equations are solved in their strong form and the connections between the elements are imposed with the inter-element compatibility conditions. The results show excellent agreement with other numerical solutions obtained by FEM.
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Francesco Tornabene · Computer Methods in Applied Mechanics and Engineering · 2009 · 581 citations
Engineering, Mechanical Engineering, Structural Dynamics +16
Francesco Tornabene, Erasmo Viola, Daniel J. Inman · Journal of Sound and Vibration · 2009 · 366 citations
Engineering, Computational Engineering, Mechanical Engineering +17