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Free Vibration analysis of unsymmetric 6-noded element under mesh distortion

IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore

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Title Free Vibration analysis of unsymmetric 6-noded element under mesh distortion
 
Creator V, Senthilkumar
G, Prathap
 
Subject Climate Modelling
 
Description Distortion of finite element meshes lead to poor results. Use of unsymmetric formulation offers mesh distortion immunity to some extent. To address the 2-D effects of mesh distortion, the 6-noded triangular element with plane stress conditions had been developed for free vibration analysis. Two separate sets of shape functions are used in such formulation. Depending on the shape function used, the elements are classified into parametric (PP), metric (MM), parametric-metric (PM) and metric-parametric elements (MP). From the numerical tests, it had been seen that the PM element gives more accurate natural frequencies than the conventional PP element under distortion. Interestingly, the MP element results are identical to PM element results of the various types of mesh distortions for the free vibration analysis and it will be valid for all the cases with different boundary conditions under admissible distorted geometry shapes.
 
Publisher XXII ICTAM
 
Date 2008-08-24
 
Type Book
PeerReviewed
 
Format application/pdf
 
Identifier http://cir.cmmacs.ernet.in/156/1/FREE%20VIBRATION%20ANALYSIS%20OF%20UNSYMMETRIC%206%2DNODED%20ELEMENT%20UNDER%20MESH%20DISTORTION.pdf
V, Senthilkumar and G, Prathap (2008) Free Vibration analysis of unsymmetric 6-noded element under mesh distortion. XXII ICTAM, 25-29 August 2008, Adelaide, Australia . XXII ICTAM, Adelaide, Australia.
 
Relation http://cir.cmmacs.ernet.in/156/