16.1 Functionally Graded Materials

Chen, Lidong; Goto, Takashi

doi:10.1016/b978-012654640-8/50043-2

Cited by 11 publications

(2 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The exceptional properties of the Functionally Graded Materials (FGMs), such as thermal resistance, high toughness, and low density, boost their practical deployment (Chen and Goto, 2003). Such powerful characteristics are because they are, in practice, designed to compose two or more inhomogeneous materials, whose spatial compositions vary continuously (Chakraborty et al, 2003; Udupa et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Free and forced nonlinear vibrations of Bi-Directional functionally graded Euler–Bernoulli porous beams

Sari

Al‐Dahidi

Hammad

2022

Journal of Vibration and Control

View full text Add to dashboard Cite

In this study, the free and forced vibrations of a bi-directional functionally graded porous beam are investigated. The governing equations of motion are derived by Hamilton’s principle, and the reduced temporal equation of motion with cubic and quintic nonlinear terms is obtained using the Galerkin approach. Analytical solutions for the nonlinear natural frequencies in addition to the primary resonance response curves are established by the method of multiple scales. The effects of the axial and transverse functionally graded indexes, initial amplitude, porosity parameter, and the elastic and mass density ratios on the nonlinear frequencies and the forced responses are examined.

show abstract

Section: Introductionmentioning

confidence: 99%

Free and forced nonlinear vibrations of Bi-Directional functionally graded Euler–Bernoulli porous beams

Sari

Al‐Dahidi

Hammad

2022

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…It is known that functionally graded materials (FGMs) are special class of advanced materials that are characterized by their unique properties such as lower density, higher toughness, designability, greater thermal resistance, lower stress concentration, smaller interface problems, and higher corrosion resistance. 2 FGMs’ powerful features are due to the existence of two or more materials that are blended to get continuously changed properties along the length, thickness, or the width of the structure. Several works were devoted to examine the behavior of FG structures.…”

Section: Introductionmentioning

confidence: 99%

Natural vibrations of double bi-directional functionally graded Euler–Bernoulli beams connected by a variable Winkler elastic layer

Sari

2022

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented. The Modulus of elasticity and the density of the material of the beams are assumed to vary along the thickness and the length of the beams according to power-law and exponential functions, respectively. The governing differential equations of motion are established by the means of Hamilton’s principle. The Chebyshev Spectral Collocation Method (CSCM) is used to calculate the natural frequencies of the two-dimensional functionally graded (2D-FG) double beams. The effects of several parameters such as the height ratio of the beams, the stiffness of the coupling layer, the axial and transverse functionally graded indexes, and the boundary conditions on the natural frequencies of the 2D-FG double beams have been investigated. The frequencies obtained from the CSCM have been validated by comparing them with those available in previous literature.

show abstract

Some Progress in Organic Synthesis of Pharmaceuticals in China

Liu¹,

Zhang²

2010

Pharmaceutical Process Chemistry

View full text Add to dashboard Cite

16.1 Functionally Graded Materials

Cited by 11 publications

References 22 publications

Free and forced nonlinear vibrations of Bi-Directional functionally graded Euler–Bernoulli porous beams

Free and forced nonlinear vibrations of Bi-Directional functionally graded Euler–Bernoulli porous beams

Natural vibrations of double bi-directional functionally graded Euler–Bernoulli beams connected by a variable Winkler elastic layer

Some Progress in Organic Synthesis of Pharmaceuticals in China

Contact Info

Product

Resources

About