Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

2016 ◽  
Vol 59 (2) ◽  
pp. 227-241 ◽  
Author(s):  
Sergey S. Volkov ◽  
Alexander N. Litvinenko ◽  
Sergey M. Aizikovich ◽  
Yun-Che Wang ◽  
Andrey S. Vasiliev
Keyword(s):  
Circular Plate ◽  
Axisymmetric Bending ◽  
Fgm Layer

scholarly journals Axisymmetric bending analysis of functionally graded one-dimensional hexagonal piezoelectric quasi-crystal circular plate

2020 ◽  
Vol 476 (2241) ◽  
pp. 20200301
Author(s):  
Yang Li ◽  
Yuan Li ◽  
Qinghua Qin ◽  
Lianzhi Yang ◽  
Liangliang Zhang ◽  
...  
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
State Space ◽  
Circular Plate ◽  
Hankel Transform ◽  
Functionally Graded ◽  
The State ◽  
One Dimensional ◽  
Present Solution ◽  
Axisymmetric Bending

Within a framework of the state space method, an axisymmetric solution for functionally graded one-dimensional hexagonal piezoelectric quasi-crystal circular plate is presented in this paper. Applying the finite Hankel transform onto the state space vector, an ordinary differential equation with constant coefficients is obtained for the circular plate provided that the free boundary terms are zero and an exponential function distribution of material properties is assumed. The ordinary differential equation is then used to obtain the stress, displacement and electric components in the physical domain of the elastic simply supported circular plate through the use of the propagator matrix method and the inverse Hankel transform. The numerical studies are carried out to show the validity of the present solution and reveal the influence of material inhomogeneity on the axisymmetric bending of the circular plate with different layers and loadings, which provides guidance for the design and manufacture of functionally graded one-dimensional hexagonal piezoelectric quasi-crystal circular plate.

Nonlinear axisymmetric bending analysis of strain gradient thin circular plate

2021 ◽  
Vol 89 ◽  
pp. 363-380
Author(s):  
Anqing Li ◽  
Xue Ji ◽  
Shasha Zhou ◽  
Li Wang ◽  
Jun Chen ◽  
...  
Keyword(s):  
Circular Plate ◽  
Strain Gradient ◽  
Bending Analysis ◽  
Thin Circular Plate ◽  
Axisymmetric Bending

Płyty kołowe Hencky’ego–Bolle’a spoczywające na podłożu sprężystym Własowa

2020 ◽  
Vol 29 (4) ◽  
pp. 444-453
Author(s):  
Mykola Nagirniak
Keyword(s):  
Differential Equation ◽  
Circular Plate ◽  
Significant Influence ◽  
Single Layer ◽  
Medium Thickness ◽  
Cross Sectional ◽  
Equation Solution ◽  
Integral Characteristics ◽  
Two Parameter ◽  
Plate Deflection

The work presents the equations of the theory of symmetrical plates, resting on one-way, single-layer, two-parameter Vlasov’s subsoil. Two cases of differential equation solution of the plate deflection of thin and medium thickness on the ground substrate were analyzed depending on the size of the integral characteristics UÖD and 6ÖD. The example of loading the circular plate with a Pk load evenly distributed over the edge was considered and shows dimensionless graphs of deflection, bending torques and transverse forces in the plate and in the ground subsoil. The effect of the Poisson’s coefficient of the plate on deflection values and cross-sectional forces was investigated. The Poisson’s number has been shown to have a significant influence on deflection values and bending torque, however shown negligible effect on transverse forces values.

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