Abdelaziz Foul

The study investigates thermal and elastic interactions in isotropic microplate resonators with elastic and viscous properties, exhibiting Kelvin–Voigt behavior, under a uniform magnetic field. Using the modified Moore–Gibson–Thomson thermoelastic theory (MGTE), modified couple stress theory (MCST) and the Hamiltonian principle, the differential equation of motion, including size effects, is derived. The model examines thermoelastic vibrations of a circular microplate with simply supported edges and various boundary conditions. The influence of length scale factors on the bending behavior of thermo-viscoelastic microplates is analyzed. Results show that microplates modeled with MCST theory are more rigid than those with standard continuum plate theory, aiding in the design of high-quality, low-energy-dissipation micro/nanosheet circular resonators. These findings are crucial for modern engineering, providing insights into thermoelastic coupling and enhancing microplate-based system performance and efficiency in various applications.

This paper integrated the root assessment method (RAM) with a spherical fuzzy set (SFS) to rank the alternatives and select the best electricity production technology. The SF‐Entropy is used to compute the factor’s weights, and the SF‐RAM method ranks the alternatives. This study used four main factors, 29 subfactors, and 24 alternatives. The four main factors are economic, environmental, social, and political. The results show that economic factors are most important, followed by social, environmental, and political factors. The results of the SF‐RAM method show that hydropower and wind onshore are the highest‐rank technologies in Egypt. The sensitivity and comparative analysis are conducted in this study. The sensitivity analysis was conducted with 30 scenarios in changing factors’ weights and three scenarios in changing of expert’s weight. The sensitivity analysis results show the alternatives’ rank is stable under different scenarios. The comparative analysis was conducted using various multicriteria decision‐making (MCDM) methods. The results of the comparative analysis demonstrate that the proposed methodology outperforms other MCDM approaches. This study supports governments in mitigating environmental impacts, ultimately leading to lower morbidity rates.