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CONTENTS
Volume 13, Number 1, February 2024
 

Abstract
The effectiveness of coupling with a bolted rim is assessed in this research using a newly designed optimization algorithm. The current study, which is provided here, evaluates 10 contemporary metaheuristic approaches for enhancing the coupling with bolted rim design problem. The algorithms used are particle swarm optimization (PSO), crow search algorithm (CSA), enhanced honeybee mating optimization (EHBMO), Harmony search algorithm (HSA), Krill heard algorithm (KHA), Pattern search algorithm (PSA), Charged system search algorithm (CSSA), Salp swarm algorithm (SSA), Big bang big crunch optimization (B-BBBCO), Gradient based Algorithm (GBA). The contribution of the paper is to optimize the coupling with bolted rim problem by comparing these 10 algorithms and to find which algorithm gives the best optimized result. These algorithm's performance is evaluated statistically and subjectively.

Key Words
coupling with bolted rim; meta-heuristic; non-traditional optimization

Address
Mubina Nancy and S. Elizabeth Amudhini Stephen: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India

Abstract
This paper is concerned with the disturbances in a transversely isotropic new modified couple stress homogeneous thermoelastic rotating medium under the combined influence of Hall currents, magnetic fields, and mechanical sources represented by inclined loads. The application of Laplace and Fourier transform techniques are used for the derivation of analytical expressions for various physical quantities. As an application, the bounding surface is subjected to uniformly and linearly distributed force (mechanical force). Present model contains length scale parameters that can capture the size effects. Numerical inversion techniques has been used to provide insights into the system's behavior in the physical domain. The graphical representation of numerical simulated results has been presented to emphasize the impact of rotation and inclined line loads on the system, enhancing our understanding of the studied phenomena. Further research can extend this study to investigate additional complexities and real-world applications.

Key Words
Hall current; inclined load; new modified couple stress; rotation; transversely isotropic

Address
Parveen Lata and Harpreet Kaur: Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India

Abstract
This work presents an analytical approach to investigate wave propagation in bi-directional functionally graded cantilever porous beam. The formulations are based on Touratier's higher-order shear deformation beam theory. The physical properties of the porous functionally graded material beam are graded through the width and thickness using a power law distribution. Two porosities models approximating the even and uneven porosity distributions are considered. The governing equations of the wave propagation in the porous functionally graded beam are derived by employing the Hamilton's principle. Closed-form solutions for various parameters and porosity types are obtained, and the numerical results are compared with those available in the literature. The numerical results show the power law index, number of wave, geometrical parameters and porosity distribution models affect the dynamic of the FG beam significantly.

Key Words
bi-directional FG beam; frequencies; porosity types; Touratier's higher-order shear deformation; wave propagation

Address
Slimane Debbaghi: LDDI, Hydrocarbons and Renewable Energies, UAD-Adrar, B. P281, Adrar 01000, Algeria
Mouloud Dahmane: Department of Planning and Hydraulic Engineering, Higher National School of Hydraulics, Blida 9000, Algeria
Mourad Benadouda: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Hassen Ait Atmane: Civil Engineering Department, University of Hassiba Ben Bouali, Algeria
Nourddine Bendenia: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria
Lazreg Hadji: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Tiaret, 14000, Algeria

Abstract
This study seeks to develop analytical solutions for the biothermoelastic model without accounting for energy dissipation. These solutions are then applied to estimate the temperature changes induced by external heating sources by integrating relevant empirical data characterizing the biological tissue of interest. The distributions of temperature, displacement, and strain were obtained by utilizing the eigenvalues approach with the Laplace transforms and numerical inverse transforms method. The impacts of the rate of blood perfusion and the metabolic activity parameter on thermoelastic behaviors were discussed specifically. The temperature, displacement, and thermal strain results are visually represented through graphical representations.

Key Words
eigenvalues approach; Laplace transformations; thermal and mechanical interactions; tissue; without energy dissipation

Address
Ibrahim Abbas: Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
M. Saif AlDien: Department of Mathematics, Turabah University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Mawahib Elamin: Department of Mathematics, College of Science and Arts Qassim University, Riyadh Alkhbra, Saudi Arabia
Alaa El-Bary: Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt

Abstract
In this work, we propose combining an advanced optimal control algorithm with a geometrically exact beam model. For simplicity, the 2D Reissner beam model is chosen to represent large displacements and rotations. The difficulty pertains to the nonlinear nature of beam kinematics affecting the tangent stiffness matrix, making it non-constant, which compromises direct use of optimal control methods for linear problems. Thus, we seek to accommodate a time varying control using linear-quadratic regulator (LQR) algorithm with the proposed geometrically nonlinear beam model. We provide a detailed theoretical formulation and its numerical implementation in a variational format form. Several illustrative numerical examples are provided to confirm an excellent performance of the proposed methodology.

Key Words
geometrically exact kinematics; linear-quadratic regulator; optimal control; Reissner's beam

Address
Suljo Ljukovac: University of Technology Compiègne-Alliance Sorbonne University, Laboratoire Roberval, Centre de Recherche Royallieu, Rue du Docteur Schweitzer, Compiègne, 60200, Hauts-de-France, France; Faculty of Civil Engineering, University of Sarajevo, Patriotske Lige 30, Sarajevo, 71000, Bosnia & Herzegovina
Adnan Ibrahimbegovic: University of Technology Compiègne-Alliance Sorbonne University, Laboratoire Roberval, Centre de Recherche Royallieu, Rue du Docteur Schweitzer, Compiègne, 60200, Hauts-de-France, France; Institut Universitaire de France, 1 Rue Descartes, Paris, 75000, France
Maida Cohodar-Husic: Faculty of Mechanical Engineering, University of Sarajevo, Vilsonovo Setaliste 9, Sarajevo, 71000, Bosnia & Herzegovina

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