@article{article_1806524, title={Vibration Analysis of Functionally Graded Euler-Bernoulli Beams under Uniform Thermal Loading by Using Differential Quadrature Method}, journal={Journal of Dynamics, Energy and Utility}, volume={1}, pages={35–50}, year={2025}, author={Yavuz, Mustafa Tolga and Uyulan, Caglar and Acarer, Sercan and Ozkol, İbrahim}, keywords={Differential Quadrature Method, Euler-Bernoulli Beam, Free Vibration Analysis, Functionally Graded Beam, Thermoelastic Beam}, abstract={In the last few decades, the use of functionally graded materials has become increasingly popular in various engineering applications exposed to high temperatures due to their thermal resistance, smooth transition in their mechanical properties, and superior ability to minimize thermal stresses. In this study, the dynamic characteristics of beam structures with uniform cross sections are investigated for different boundary conditions, slenderness ratios, temperature-dependent material properties, composition of the structure, and temperatures. Applying Hamilton’s principle, the governing equation is derived for the Euler-Bernoulli beam structures made of functionally graded materials. Then, the governing differential equation is solved by employing the generalized differential quadrature method. In this numerical solution technique, classical boundary conditions and the equation of vibration motion are transformed into a set of linear algebraic equations stated in orthogonal matrix form. Ultimately, the obtained numerical results are presented in the relevant figures and tables to show the influence of operating environment and boundary conditions on the dynamic behavior of the beam, in addition to the influence of the composition of the ceramic-metal mixtures, and interactions of other structural design parameters with each other. The findings show that increasing temperature and gradiation index significantly reduce the natural frequencies due to thermal softening effects, while changes in boundary conditions and slenderness ratios strongly influence the overall vibration response. These results highlight the importance of incorporating temperature-dependent material behavior and gradient composition in the accurate prediction and optimization of the dynamic performance of functionally graded beam structures.}, number={2}, publisher={Dokuz Eylul University}