Authors:
Savita Katoch,Dinesh Kumar Sharma,Vikas Sharma,Nivedita Sharma,DOI NO:
https://doi.org/10.26782/jmcms.2026.06.00005Keywords:
Porosity,Thermoelasticity,Free vibrations,Natural frequency,Frequency shift,Rigidly fixed boundaries.,Abstract
Objective: The investigation of a nonlocal elastic hollow cylinder with double porosity has been presented for rigidly fixed boundary conditions in the context of generalized thermoelasticity. Governing equations are transformed into ordinary differential equations through harmonics variation technique. Methods: The system of equations is solved with the help of the matrix elimination approach, which yields a characteristic equation of eighth degree. The unknown field functions for dilatation, porosity, temperature, and displacement have been shown analytically. Analytical results are verified through numerical simulations by Computer based MATLAB software by using Iteration numerical technique. Generated data through simulations corresponds to the roots of the equation, termed the mode number. Results: The generated data is of the form complex numbers, which reveals that the real part is known as the natural frequency, and the imaginary part represents the damping factor. The computer analysed and generated data has been presented graphically for frequency shift, thermoelastic damping, and field functions such as displacement, porosity, and temperature. The generated data has also been shown in tables for natural frequencies. Conclusions: The findings of the study have potential relevance in smart materials, nanotechnology, biomedical implants, energy storage systems, and aerospace components.Refference:
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