Thermal deflection of an elastic circular plate of variable thickness

1977 ◽  
Vol 85 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Paritosh Biswas
Keyword(s):  
Circular Plate ◽  
Variable Thickness ◽  
Elastic Circular Plate ◽  
Plate Of Variable Thickness ◽  
Thermal Deflection

Large Deflections of Circular Plates of Variable Thickness

1982 ◽  
Vol 49 (1) ◽  
pp. 243-245 ◽  
Author(s):  
B. Banerjee
Keyword(s):  
Circular Plate ◽  
Variable Thickness ◽  
Large Deflection ◽  
Numerical Results ◽  
Large Deflections ◽  
Circular Plates ◽  
Uniform Load ◽  
Plate Of Variable Thickness ◽  
Plates Of Variable Thickness

The large deflection of a clamped circular plate of variable thickness under uniform load has been investigated using von Karman’s equations. Numerical results obtained for the deflections and stresses at the center of the plate have been given in tabular forms.

scholarly journals Canonical polynomials in the problem about the bend of circular plate of variable thickness

2021 ◽  
pp. 105
Author(s):  
O.V. Bugrim ◽  
Ye.S. Sinaiskii
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Approximate Solution ◽  
Boundary Conditions ◽  
Circular Plate ◽  
Variable Thickness ◽  
Variable Coefficients ◽  
Tau Method ◽  
Canonical Polynomials ◽  
Plate Of Variable Thickness

The problem about the bend of circular plate of variable thickness under specifically selected laws of rigidity change is reduced to the ordinary differential equation with variable coefficients of polynomial kind. The construction of the approximate solution of equation that satisfies boundary conditions is realized by means of canonical polynomials and $\tau$-method of Lantzosh.

Large Amplitude Vibrations of Clamped Circular Plate of Variable Thickness

1984 ◽  
Vol 51 (1) ◽  
pp. 207-210 ◽  
Author(s):  
S. K. Chaudhuri
Keyword(s):  
Circular Plate ◽  
Variable Thickness ◽  
Large Amplitude ◽  
Nonlinear Oscillations ◽  
Numerical Results ◽  
Varying Thickness ◽  
Von Karman ◽  
Von Kármán Equations ◽  
Plate Of Variable Thickness ◽  
Large Amplitude Vibrations

In this paper nonlinear oscillations of a clamped circular plate of linearly varying thickness have been investigated using von Karman equations expressed in terms of displacement components. Numerical results obtained have been compared and discussed.

scholarly journals ELASTIC BENDING OF A THREE-LAYER CIRCULAR PLATE WITH STEP-VARIABLE THICKNESS

2021 ◽  
Vol 1 (54) ◽  
pp. 25-29
Author(s):  
Denis V. LEONENKO ◽  
Keyword(s):  
Boundary Value Problem ◽  
Circular Plate ◽  
Variable Thickness ◽  
Boundary Value ◽  
Median Plane ◽  
Inhomogeneous System ◽  
Equilibrium Equations ◽  
Elastic Circular Plate ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

The bending of a three-layer elastic circular plate with step-variable thickness is considered. To describe kinematics of asymmetrical in thickness core pack, the broken line hypotheses are accepted. In thin bearing layers, Kirchhoff’s hypotheses are valid. In a relatively thick filler incompressible in thickness, Timoshenko’s hypothesis on the straightness and incompressibility of the deformed normal is fulfilled. The formulation of the corresponding boundary value problem is presented. Equilibrium equations are obtained by the variational Lagrange method. The solution of the boundary value problem is reduced to finding three required functions in each section, deflection, shear and radial displacement of the median plane of the filler. An inhomogeneous system of ordinary linear differential equations is obtained for these functions. The boundary conditions correspond to rigid pinching of the plate contour. A parametric analysis of the obtained solution is carried out.

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