Wave dispersion analysis of natural fiber-strengthened composite beam lying on variable elastic foundation

Abstract

For the first time, the dispersion of elastic waves in natural fiber-strengthened composite high-order beam rested on an elastic substrate is probed in the current article. Furthermore, a theoretical damage model is used to describe the mechanical degradation of natural fiber-strengthened composite beam during hygrothermal aging. Different three types of Winkler foundations are considered as a linear layer of the elastic foundation. To derive the equations of motion of natural fiber-strengthened composite beam, principle of Hamilton is implemented. In addition, the analytical solution is utilized to solve the derived governing equation of natural fiber-strengthened composite beam rested on Winkler–Pasternak substrate. The accuracy of using methodology is verified by those reported in the literature. The impacts of various parameters, i.e., wave number, aging time, fiber content, different types of Winkler foundation, Winkler and Pasternak parameters, α parameter and slenderness ratio on the variation of wave propagation of natural fiber strengthened composite beam are explored. Some tables and figures are provided to illustrate the obtained outcomes. The obtained results indicate that elastic foundation coefficient and wave number have an increasing effect and slenderness ratio and α parameter have decreasing effect. Furthermore, the effect of fiber content on change in wave propagation behavior depends on aging time.