Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution

F Tornabene - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
Based on the First-order Shear Deformation Theory (FSDT) this paper focuses on the
dynamic behavior of moderately thick functionally graded conical, cylindrical shells and …

[HTML][HTML] Vibrational behavior of doubly curved smart sandwich shells with FG-CNTRC face sheets and FG porous core

AR Setoodeh, M Shojaee, P Malekzadeh - Composites Part B: Engineering, 2019 - Elsevier
As a first endeavor, the free flexural vibration behavior of doubly curved complete and
incomplete sandwich shells with functionally graded (FG) porous core, FG carbon nanotube …

[图书][B] Advanced differential quadrature methods

Z Zong, Y Zhang - 2009 - taylorfrancis.com
Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature
(DQ) method has been known to fail for problems with strong nonlinearity and material …

[HTML][HTML] Winkler–Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels

F Tornabene, N Fantuzzi, E Viola, JN Reddy - Composites Part B …, 2014 - Elsevier
This work presents the static and dynamic analyses of laminated doubly-curved shells and
panels of revolution resting on the Winkler–Pasternak elastic foundation using the …

[PDF][PDF] FGM and laminated doubly-curved and degenerate shells resting on nonlinear elastic foundations: a GDQ solution for static analysis with a posteriori stress and …

F Tornabene, JN Reddy - J. Indian Inst. Sci, 2013 - academia.edu
REVIEWS Page 1 Journal of the Indian Institute of Science A Multidisciplinary Reviews
Journal ISSN: 0970-4140 Coden-JIISAD © Indian Institute of Science Journal of the Indian …

Free vibration of nanoplates based on a nonlocal two-variable refined plate theory

P Malekzadeh, M Shojaee - Composite Structures, 2013 - Elsevier
The application of a two-variable refined plate theory is extended to the free vibration of
nanoplates. The theory takes into account the effects of small scale and the quadratic …

2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution

F Tornabene - Composite Structures, 2011 - Elsevier
In this paper, the Generalized Differential Quadrature (GDQ) method is applied to study the
dynamic behaviour of laminated composite doubly-curved shells of revolution. The First …

High‐accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain

Y Xing, B Liu - International journal for numerical methods in …, 2009 - Wiley Online Library
Based on the differential quadrature (DQ) rule, the Gauss Lobatto quadrature rule and the
variational principle, a DQ finite element method (DQFEM) is proposed for the free vibration …

Semi-analytical solution for three-dimensional vibration of functionally graded circular plates

GJ Nie, Z Zhong - Computer Methods in Applied Mechanics and …, 2007 - Elsevier
Based on the three-dimensional theory of elasticity and assuming that the mechanical
properties of the materials vary continuously in the thickness direction and have the same …