Vibration of Initially Stressed Functionally Graded Material Plates and Shells

Abstract

Finite element formulation using semiloof shell element for initially stressed vibration of Functionally Graded Material (FGM) plates and shells are presented. The influence of volume fraction index on the vibration frequencies of thin functionally graded plates and shells and variation of temperature on frequency are studied. New results are presented for initially stressed vibration of FGM plates and shells.

Investigation on Application of Semiloof Shell Element for Isotropic, Composite and Functionally Graded Material

“…However, after the introduction of semiloof shell element, dealing with analysis of thin shelled structures with sharp corners and multiple junctions gave more accurate and suitable results. Semiloof element has been successfully applied for several structural problems: stress [2], thermal stress [3,4], buckling [5], thermal buckling [4,6,7], free vibration [8,9], initially stressed vibration [8,9], non-linear vibration [10], geometric non-linear analysis [11], and piezo-electric active elements [12]. The same element has been implemented for different material properties: Isotropic, Composite [5,8,13], and FGM [9,10].…”

“…Semiloof element has been successfully applied for several structural problems: stress [2], thermal stress [3,4], buckling [5], thermal buckling [4,6,7], free vibration [8,9], initially stressed vibration [8,9], non-linear vibration [10], geometric non-linear analysis [11], and piezo-electric active elements [12]. The same element has been implemented for different material properties: Isotropic, Composite [5,8,13], and FGM [9,10]. Semiloof shell elements find its application in complex structures [14,15].…”