Neural network optimization of material composition of a functionally graded material plate at arbitrary temperature range and temperature rise

1998 ◽  
Vol 68 (10) ◽  
pp. 662-676 ◽  
Author(s):  
Y. Ootao ◽  
R. Kawamura ◽  
Y. Tanigawa ◽  
T. Nakamura
Keyword(s):  
Neural Network ◽  
Functionally Graded Material ◽  
Temperature Rise ◽  
Network Optimization ◽  
Functionally Graded ◽  
Material Composition ◽  
Neural Network Optimization ◽  
Temperature Range ◽  
Arbitrary Temperature ◽  
Graded Material

Vibration analysis of an axially functionally graded material non-prismatic beam under axial thermal variation in humid environment

2021 ◽  
pp. 107754632110371
Author(s):  
Rahul Singh ◽  
Pankaj Sharma
Keyword(s):  
Functionally Graded Material ◽  
Temperature Rise ◽  
Differential Quadrature Method ◽  
Functionally Graded ◽  
Quadrature Method ◽  
Thermal Variation ◽  
Harmonic Differential Quadrature Method ◽  
Prismatic Beam ◽  
Graded Material ◽  
Axially Functionally Graded Material

The vibration analysis of an axially functionally graded material non-prismatic Timoshenko beam under axial thermal variation in humid environment is carried out using the harmonic differential quadrature method. In this modeling, the length and width of the beam remains constant whereas thickness of the beam is linearly varied along the axis of the beam. The material properties are temperature dependent and are assumed to be varied continuously along the axial direction according to power law distribution. Three types of temperature variations are considered in this study, that is, uniform temperature rise, linear temperature rise, and non-linear temperature rise. The temperature of the beam remains constant under uniform temperature rise condition and it is varied linearly and nonlinearly along the length of beam for rest of the conditions. The beam is subjected to uniform moisture concentration to impose humidity. Hamiltonian’s approach is used to derive the governing equations of motion. The resultant governing equations are then solved using the harmonic differential quadrature method to obtain the natural frequencies of the axially functionally graded material non-prismatic beam. The results obtained using the harmonic differential quadrature method are compared with results obtained for special cases. The effects of thermal variation, humidity, non-homogeneity parameter, and end conditions on natural frequencies of the non-prismatic beam are reported.

Free Vibration of Functionally Graded Material Beams in a Uniform Electric Field

2012 ◽  
Vol 157-158 ◽  
pp. 3-6 ◽  
Author(s):  
Shu Rong Yu ◽  
Su Hou De ◽  
Jian Ling Fan
Keyword(s):  
Free Vibration ◽  
Electric Field ◽  
Functionally Graded Material ◽  
Temperature Rise ◽  
Great Influence ◽  
Functionally Graded ◽  
Uniform Electric Field ◽  
Thermo Electric ◽  
Buckled Beam ◽  
Graded Material

Free vibration of thermal post-buckled functionally graded material (FGM) beams in a uniform electric field subjected to both temperature rise and voltage is studied. Voltage has a great influence on the deformation of the beam, and Thermo-electric post-buckling equilibrium paths and characteristic curves of the first three natural frequencies versus the temperature, the electricity and the material gradient parameters are plotted. It is found that the three lowest frequencies of the pre-buckled beam decrease with an increase in the temperature, but those of a buckled beam increase monotonically with the temperature rise. The results also show that the tensional force produced in the piezoelectric layers by the voltage can efficiently increase the critical buckling temperature and the natural frequency.

A study on non-linear post-buckling behavior of tapered Timoshenko beam made of functionally graded material under in-plane thermal loadings

2016 ◽  
Vol 52 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Amlan Paul ◽  
Debabrata Das
Keyword(s):  
Functionally Graded Material ◽  
Timoshenko Beam ◽  
Temperature Rise ◽  
Functionally Graded ◽  
Buckling Load ◽  
Uniform Temperature ◽  
Buckling Behavior ◽  
Non Linear ◽  
Graded Material ◽  
Post Buckling

In the present work, the non-linear post-buckling load–deflection behavior of tapered functionally graded material beam is studied for different in-plane thermal loadings. Two different thermal loadings are considered. The first one is due to the uniform temperature rise and the second one is due to the steady-state heat conduction across the beam thickness leading to non-uniform temperature rise. The governing equations are derived using the principle of minimum total potential energy employing Timoshenko beam theory. The solution is obtained by approximating the displacement fields following Ritz method. Geometric non-linearity for large post-buckling behavior is considered using von Kármán type non-linear strain-displacement relationship. Stainless steel/silicon nitride functionally graded material beam is considered with temperature-dependent material properties. The validation of the present work is successfully performed using finite element software ANSYS and using the available result in the literature. The post-buckling load–deflection behavior in non-dimensional plane is presented for different taperness parameters and also for different volume fraction indices. Normalized transverse deflection fields are presented showing the shift of the point of maximum deflection for various deflection levels. The results are new of its kind and establish benchmark for studying non-linear thermo-mechanical behavior of tapered functionally graded material beam.

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