Vibrations Evaluation of Functionally Graded Porous Beams in Thermal Surroundings by Generalized Differential Quadrature Method

This study investigates how to obtain the natural frequency of functionally graded porous beams simply supported on an elastic substrate in thermal surroundings by theory third-order shear deformation. Temperature constantly changes beam thickness direction and step with distribution volume fraction power law ingredient has been affected material attributes. The uniform porosity at pass phase is examined. To achieve equations governing, Hamilton's principle was carried out. discretize these equations, generalized differential quadrature method used. First, approach's convergence shown. Comparison results other articles performed for validation. Here, impacts numerous factors like index law, heat field type, temperature difference, slenderness ratio, coefficient a frequencies were studied simple boundary conditions. In addition displaying parameters’ impact beam’s thermomechanical evaluation, conclusions also confirm accuracy numerical technique