A sub-parametric shear deformable element for free vibration analysis of thick/thin rectangular plates with tapered thickness

• Autorzy: Manna M. C.
• Języki publikacji: EN

Abstrakty

EN

A sub-parametric shear deformable element is proposed for free vibration analysis of isotropic plates with linearly varying thickness in one direction. The element has sixteen nodes and thirty-six degrees of freedom. The transverse displacement and bending rotations are taken as independent field variables. The polynomials used to express these variables are of the same order. The geometry of the element is defined by a polynomial of lower order than the polynomials used for field variables. The entire formulation is made based on first-order shear deformation theory (FSDT). The rotary inertia is included in the consistent mass matrix for the analysis. Isotropic plates with different thickness ratios (varying from 0.01 to 0.2), tapered ratios, aspect ratios and boundary conditions are analyzed. The results obtained by the present element show an excellent agreement with the available published results. Some numerical results have been given as new results.

Słowa kluczowe

EN

sub-parametric element; first order shear deformation theory; rotary inertia; tapered thickness; consistent mass matrix

PL

odkształcenia sprężyste; wibracje

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2006
• Tom: Vol. 11, no 4
• Strony: 901--913
• Opis fizyczny: Bibliogr. 21 poz., wykr.

Twórcy

autor

Manna M. C.

• Department of Applied Mechanics Bengal Engineering and Science University Howrah - 711 103, West Bengal, INDIA,

Bibliografia

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