Al-Zughair integral transformation in solving improved heat and Poisson PDEs

2022 ◽  
Author(s):  
Elaf Sabah Abbas ◽  
Emad Abbas Kuffi ◽  
Emanuel Hanna
Keyword(s):  
Integral Transformation

Integral Transformation of Multidimensional Heat Conduction Problems in Heterogeneous Media

2017 ◽  
Author(s):  
Carolina Palma Naveira Cotta ◽  
Renato Machado Cotta ◽  
Anderson Pereira de Almeida
Keyword(s):  
Heat Conduction ◽  
Heterogeneous Media ◽  
Integral Transformation

scholarly journals A certain double integral transformation

1975 ◽  
Vol 78 (5) ◽  
pp. 402-406 ◽  
Author(s):  
H.M Srivastava ◽  
K.C Gupta ◽  
S Handa
Keyword(s):  
Integral Transformation ◽  
Double Integral

Experimental study of H∞ control for a flexible plate

2011 ◽  
Vol 18 (11) ◽  
pp. 1631-1649 ◽  
Author(s):  
Zhao Tong ◽  
Chen Long-Xiang ◽  
Cai Guo-Ping
Keyword(s):  
Time Delay ◽  
Integral Transformation ◽  
External Disturbance ◽  
Experimental Studies ◽  
State Equation ◽  
Small Time ◽  
Linear Matrix ◽  
Structural Parameter ◽  
Flexible Plate ◽  
Standard State

This paper presents theoretical and experimental studies of H∞ control for a flexible plate. Firstly, the dynamic equation of the plate with time delay is established with consideration of external disturbance. Then the standard state equation without explicit time delay is deduced by using a particular integral transformation to the time-delay equation. Finally, a H∞ time-delay controller is designed based on the standard state equation using the method of linear matrix inequality. In the controller designed, it contains not only the current step of state feedback but also the linear combination of some former steps of control. In the experiment, piezoelectric patches are used as actuators and sensors. The experiment system is structured based on the DSP TMS320F2812. Single time delay and double time delay are both considered in the experiment. The robustness of H∞ controller against the structural parameter of the plate and time delay is experimentally investigated. Simulation and experimental results indicate that the control system may suffer from instability if time delay is not treated in control design. The time-delay controller presented in this paper can effectively deal with time delay in the system, and is available for small-time delay and large-time delay as well. Furthermore, this delay controller is robust to the variance of structural parameter of the plate and time delay.

scholarly journals A mixed boundary value problem of a cracked elastic medium under torsion

2021 ◽  
pp. 10-10
Author(s):  
Belkacem Kebli ◽  
Fateh Madani
Keyword(s):  
Boundary Value Problem ◽  
Elastic Medium ◽  
Integral Equations ◽  
Integral Transformation ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Crack Problem ◽  
Fredholm Integral Equations ◽  
Mixed Boundary Value Problem ◽  
Penny Shaped Crack

The present work aims to investigate a penny-shaped crack problem in the interior of a homogeneous elastic material under axisymmetric torsion by a circular rigid inclusion embedded in the elastic medium. With the use of the Hankel integral transformation method, the mixed boundary value problem is reduced to a system of dual integral equations. The latter is converted into a regular system of Fredholm integral equations of the second kind which is then solved by quadrature rule. Numerical results for the displacement, stress and stress intensity factor are presented graphically in some particular cases of the problem.

scholarly journals Development of Integral Transformation Modules for Correlated Calculations

2004 ◽  
Vol 3 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Yuji MOCHIZUKI ◽  
Umpei NAGASHIMA
Keyword(s):  
Integral Transformation
Sign in / Sign up

Export Citation Format

Share Document