Nonlinear dynamic analysis and vibration of shear deformable piezoelectric FGM double curved shallow shells under damping-thermo-electro-mechanical loads

Duc, Nguyen Dinh; Quan, Tran Quoc; Luat, Vu Dinh

doi:10.1016/j.compstruct.2015.01.041

Cited by 91 publications

(37 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For this reason, a new class of composites termed functionally graded materials (FGMs) has spread broadly in order to reduce the stress concentrations and the mechanical discontinuities. The interest of many researchers about this topic is demonstrated by the large amount of papers available in the literature [81][82][83][84][85][86][87][88][89][90][91][92]. These contributions report the effects of the continuous gradual variation of the mechanical properties of the FGMs on the static and dynamic behaviors of many structural components.…”

Section: Introductionmentioning

confidence: 98%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

111

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 98%

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Tornabene

Fantuzzi

Bacciocchi

et al. 2015

Composites Part B: Engineering

111

View full text Add to dashboard Cite

“…Duc et al [12] studied nonlinear vibration of shear deformable functionally graded piezoelectric material (FGPM) double curved shallow shells under different loads. Material properties of FGM shells were assumed to be temperature dependent and graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer

Irani-Rahaghi

Karroubi

Arefi

2016

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

An analytical method for the three-dimensional vibration analysis of a functionally graded cylindrical shell integrated by two thin functionally graded piezoelectric (FGP) layers is presented. The first-order shear deformation theory is used to model the electromechanical system. Nonlinear equations of motion are derived by considering the von Karman nonlinear strain-displacement relations using Hamilton's principle. The piezoelectric layers on the inner and outer surfaces of the core can be considered as a sensor and an actuator for controlling characteristic vibration of the system. The equations of motion are derived as partial differential equations and then discretized by the Navier method. Numerical simulation is performed to investigate the effect of different parameters of material and geometry on characteristic vibration of the cylinder. The results of this study show that the natural frequency of the system decreases by increasing the non-homogeneous index of FGP layers and decreases by increasing the non-homogeneous index of the functionally graded core. Furthermore, it is concluded that by increasing the ratio of core thickness to cylinder length, the natural frequencies of the cylinder increase considerably.

show abstract

“…Matsunaga [2] carried out the power series expansion of displacement component approach, which relied on higher-order shear deformation theory (HSDT) to analyze free vibration and buckling of FGM shells. Nguyen et al [3] proposed an analytical solution using Reddy's HSDT to solve nonlinear dynamic and free vibration of piezoelectric FGM double curved shallow shells subjected to electrical, thermal, mechanical, and damping loads. Dao et al [4] presented nonlinear vibration of stiffened functionally graded double curved shells on an elastic foundation using the first order shear deformation theory (FSDT) and stress function.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Functionally Graded Shells Using an Edge-Based Smoothed Finite Element Method

Pham

Phan

et al. 2019

Symmetry

View full text Add to dashboard Cite

An edge-based smoothed finite element method (ES-FEM) combined with the mixed interpolation of tensorial components technique for triangular shell element (MITC3), called ES-MITC3, for free vibration analysis of functionally graded shells is investigated in this work. In the formulation of the ES-MITC3, the stiffness matrices are obtained by using the strain-smoothing technique over the smoothing domains that are formed by two adjacent MITC3 triangular shell elements sharing an edge. The strain-smoothing technique can improve significantly the accuracy and convergence of the original MITC3. The material properties of functionally graded shells are assumed to vary through the thickness direction by a power–rule distribution of volume fractions of the constituents. The numerical examples demonstrated that the present ES-MITC3method is free of shear locking and achieves the high accuracy compared to the reference solutions in the literature.

show abstract

Nonlinear dynamic analysis and vibration of shear deformable piezoelectric FGM double curved shallow shells under damping-thermo-electro-mechanical loads

Cited by 91 publications

References 30 publications

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Higher-order theories for the free vibrations of doubly-curved laminated panels with curvilinear reinforcing fibers by means of a local version of the GDQ method

Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer

Free Vibration Analysis of Functionally Graded Shells Using an Edge-Based Smoothed Finite Element Method

Contact Info

Product

Resources

About