A virtual layers-state-space method for 3D responses of arbitrary functionally graded magnetoelectroelastic plates

2021 ◽  
pp. 113782
Author(s):  
H.H. Meuyou ◽  
F.P. Ewolo Ngak ◽  
G.E. Ntamack ◽  
L. Azrar
Keyword(s):  
State Space ◽  
Functionally Graded ◽  
State Space Method ◽  
Space Method

A New Approach to Thermal Analysis of a Multilayered Cylindrical Structure With Imperfect Bonds and Internal Heat Source

2016 ◽  
Vol 138 (12) ◽  
Author(s):  
M. Bakhtiari ◽  
K. Daneshjou ◽  
R. Alibakhshi
Keyword(s):  
Thermal Analysis ◽  
Heat Conduction ◽  
Heat Source ◽  
State Space ◽  
Hollow Cylinder ◽  
Internal Heat ◽  
Functionally Graded ◽  
State Space Method ◽  
Augmented State ◽  
Space Method

In the present research, a new and straightforward mathematical model, named augmented state-space method, is introduced to solve the heat conduction equation for a multilayered orthotropic hollow cylinder with bonding imperfection in the presence of heat source. Since such problems including heat source are inherently inhomogeneous and complex, augmented state-space method converts these inhomogeneous equations into homogeneous ones. The transient solution will be achieved by present method based on laminate approximation theory in the Laplace domain, and then the solutions obtained are retrieved into the time domain by applying the numerical Laplace transform inversion. All material properties can be considered to vary continuously within the cylinder along the radial direction with arbitrary grading pattern. Based on the proposed method, the solution of heat conduction problem can be also obtained for general boundary conditions which may be included various combinations of arbitrary temperature, flux, or convection. Due to lack of any data on the transient thermal analysis corresponding to problems with imperfect bonds in the cylindrical coordinate system (r,θ), comparison is carried out with the available results for the three-layer semi-circular annular region with perfect bonds in the literature. Finally, the influence of orthotropy and interface imperfection on the distribution of the temperature field for three-layer hollow cylinder, in which the second layer is made of orthotropic functionally graded material (FGM), will be visualized.

scholarly journals Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

2016 ◽  
Vol 2016 ◽  
pp. 1-15 ◽  
Author(s):  
Tieliang Yang ◽  
Qibai Huang ◽  
Shande Li
Keyword(s):  
State Space ◽  
Functionally Graded Materials ◽  
Three Dimensional ◽  
Sound Radiation ◽  
Theory Of Elasticity ◽  
Functionally Graded ◽  
State Space Method ◽  
Dimensional Theory ◽  
Graded Materials ◽  
Space Method

This paper presents an analytical study for sound radiation of functionally graded materials (FGM) plate based on the three-dimensional theory of elasticity. The FGM plate is a mixture of metal and ceramic, and its material properties are assumed to have smooth and continuous variation in the thickness direction according to a power-law distribution in terms of volume fractions of the constituents. Based on the three-dimensional theory of elasticity and state space method, the governing equations with variable coefficients of the FGM plate are derived. The sound radiation of the vibration plate is calculated with Rayleigh integral. Comparisons of the present results with those of solutions in the available literature are made and good agreements are achieved. Finally, some parametric studies are carried out to investigate the sound radiation properties of FGM plates.

A new state-space method for exponentially damped linear systems

2019 ◽  
Vol 212 ◽  
pp. 137-144 ◽  
Author(s):  
Xinhai Wu ◽  
Huan He ◽  
Guoping Chen
Keyword(s):  
State Space ◽  
Linear Systems ◽  
State Space Method ◽  
Space Method

Study on Small Fluctuation Stability in Air Cushion Surge Chamber Based on State Space Method

2017 ◽  
Author(s):  
Jiachun Liu ◽  
Jian Zhang ◽  
Xiaodong Yu ◽  
Hui Xie
Keyword(s):  
State Space ◽  
Great Influence ◽  
State Space Method ◽  
Actual System ◽  
Small Fluctuation ◽  
Chamber Height ◽  
Air Chamber ◽  
Water Conveyance ◽  
Air Cushion ◽  
Space Method

In this paper, on the basis of the state space method and actual system arrangement, the small fluctuation mathematical model of the water conveyance system with air cushion surge chamber (ACSC) was established. According to the basic equations of ACSC, the ideal gas state equation and the units constant output equation, the formula describing the stable cross-section area (SCSA) of ACSC was deduced, and the small fluctuation stability (SFS) of water conveyance system was analyzed. The corresponding results showed that the air chamber constant had a great influence on the SCSA of ACSC. When the air chamber constant became larger, the quality of the system small fluctuation went worse. The higher upstream water level and the lower initial air chamber height will lead to a smaller initial air chamber constant of ACSC, which is destructive for the stability of the system small fluctuation; As long as the equivalent air quality and air chamber volume are constant, good quality system small fluctuations could be obtained when the initial air chamber height is small and the area of ACSC is large.

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