Thermomechanical Impact on the Frequency of Amalgamated Plates Based on Shear Deformation Theory of First Order

The vibration behavior of amalgamated plates of constant thickness under thermomechanical effects is investigated based on the first‐order shear deformation theory (FSDT). The analysis considers the combined influences of mechanical loading and temperature variations on the plate’s dynamic response. Each layer of amalgamated plate is assumed to be of different material, and the model incorporates both perpendicular shear deformations and rotary inertia effects. The thermal influences are modeled using a temperature‐dependent material property approach, which affects the elastic constants and mass density. Cubic spline approximation is employed to approximate the supplanting and rotational functions. Numerical simulations are carried out to study the intrinsic frequencies and mode shapes of the amalgamated plate for various boundary conditions and thermal environments. The results indicate significant changes in the vibration characteristics of the amalgamated plate due to temperature variations, demonstrating the importance of considering thermal effects in the dynamic analysis of such structures. This study provides valuable insights into the design and analysis of amalgamated plate structures subjected to combined mechanical and thermal loading.