AIAA Journal, Год журнала: 2024, Номер 62(3), С. 1076 - 1093

Опубликована: Янв. 24, 2024

This work aims to study the dynamics of 3D plates under uniform and nonuniform temperature distributions in framework space-fractional generalized thermoelasticity (S-FGT) approach. The quadratic eigenvalue problem is obtained, which means that thermoelastic damping plays a meaningful role due plate’s thermal energy absorption. complex frequency spectrum mode shapes (free ends) two different are considered for values fractional continua order [Formula: see text] length scale parameter text]. For first four frequencies, modes closest experimental results classical presented with absolute differences between them. distribution case, shape analysis performed assuming modulus elasticity, expansion, specific heat parameters functions temperature. primary outcomes paper can be stated as follows: 1) S-FGT approach gives more reliable than (local) theory; 2) peak point out-of-plane amplitude shifted toward warmed zone; 3) shifting observed contrast distribution; 4) derivative depend on temperature, similar other material properties such elastic modulus, heat, coefficients expansion; 5) decrease observed, while increases fixed parameter. These novelties indicate establishes new model analyzing materials heating, may beneficial designing structures.

Язык: Английский