Thermal post-buckling and vibration analysis of a symmetric sandwich beam with clamped and simply supported boundary conditions

Theoretical Study on the Influence of Hard Coating on Vibration Characteristics of Fiber-Reinforced Composite Thin Shell

“…In addition, N is the number of total layers including hard coating, while N-1 is the number of fiber-reinforced layers. For each layer of composite thin shell, the stress-strain relations for the layers of the composite thin shell can be expressed as For each layer of composite thin shell, the stress-strain relations for the layers of the composite thin shell can be expressed as The strain components in the strain vector from Equations (3) and (7) can be defined as the linear functions based on Love's first approximation theory, and the relationship between the strain and displacement can be written as ε x = ε 1 + zk 1 ε θ = ε 2 + zk 2 γ xθ = γ 12 + 2zτ (8) where k 1 , k 2 , and τ are the reference surface curvatures, which can be written as follows…”

“…By substituting Equations (3) and (8) into Equation (17), the strain energy of fiber-reinforced composite U 1 and the strain energy of hard coating U 2 can be written as …”

“…The hard coating is a kind of coating material manufactured using metals, ceramics, and mixtures, which is used as a surface treatment for anti-friction, anti-erosion, vibration reduction, and other engineering application fields [5][6][7][8]. In recent years, due to continuously reduced costs and more mature technologies, it has drawn increasing academic and engineering attention.…”

Exact solution for frequency response of sandwich microbeams with functionally graded cores

“…(2016) investigated the nonlinear dynamic response of composite sandwich beams with a magnetorheological elastomer core using both the experimental and finite element methods. Li et al. (2018) studied thermal post-buckling and vibration behaviors of a symmetric sandwich beam with clamped and simply supported boundary conditions using the Galerkin method.…”

“…On the other hand, it is evident from the literature review that there is no study presenting an exact solution for the frequency response of sandwich microbeams by considering the small-scale effect, and only very few studies have investigated the forced vibration behavior of microbeams using the modified couple stress theory and the Galerkin method (Ghayesh, 2019). In addition, most studies on the mechanical analysis of sandwich beams (Chikh et al., 2016; Li et al., 2018) were based on the classical continuum theory. In this study, based on a nonclassical continuum theory, the frequency response of sandwich microbeams with FG cores are studied.…”