Wave propagation and transient response of a functionally graded material plate under a point impact load in thermal environments

In this article, circumferential SH wave propagation in functionally graded material (FGM) hollow cylinders is investigated. Based on the Kelvin-Voigt viscoelastic theory, the controlling differential equations in terms of displacements are deduced. By the Legendre polynomial method, the asymptotic solutions are obtained. Through the numerical results, the influences of gradient profile and the influences of the radius to thickness ratio on dispersion and attenuation are illustrated. The work is crucial for guided ultrasonic nondestructive evaluation for graded hollow cylinders.

Download Full-text

Dynamic characteristics of functionally graded material sandwich plates in thermal environments

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2015.1124949 ◽

2016 ◽

Vol 24 (2) ◽

pp. 157-167 ◽

Cited By ~ 8

Author(s):

Chun-Sheng Chen ◽

Fwu-Hsing Liu ◽

Wei-Ren Chen

Keyword(s):

Dynamic Characteristics ◽

Functionally Graded Material ◽

Functionally Graded ◽

Sandwich Plates ◽

Thermal Environments ◽

Graded Material

Download Full-text

Flap wise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments

Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering ◽

10.1177/0954410016636152 ◽

2016 ◽

Vol 231 (2) ◽

pp. 203-217

Author(s):

Ramu Inala ◽

SC Mohanty

Keyword(s):

Dynamic Stability ◽

Functionally Graded Material ◽

Rotational Speed ◽

Natural Frequencies ◽

Functionally Graded ◽

Bending Vibration ◽

Thermal Environments ◽

Graded Material ◽

Instability Regions ◽

Rotating Plate

This paper deals with the study of the flapwise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments. A finite element formulation is derived for modal and dynamic stability analyses of rotating functionally graded material plates using first-order shear deformation theory. Temperature-dependent material properties of the plates are considered in the analysis and a simple power law is assumed for composition of constituent materials to vary along the thickness direction. The same power law is also proposed in thermal environments for temperature variation across the thickness of the plate. Some numerical results obtained from the present method are compared with numerical results available in the literature and are found to be in good agreement. Parametric investigation is carried out thoroughly to study the effect of the temperature rise, hub radius, and rotational speed on vibration and the dynamic stability of rotating plate in thermal environment. Bolotin’s method is used to generate the boundaries of stability and instability regions. These instability regions are plotted in the parameter space with the nondimensional dynamic load and excitation frequency. It is observed that the natural frequencies reduce with an increase in temperature rise. Increase in rotational speed and hub radius results in increase of natural frequencies of vibration. The rise in temperature leads to reduction in the dynamic stability of plate. Increase in rotational speed and hub radius enhances the dynamic stability of the rotating plate.

Download Full-text