The effects of humidity and temperature on the natural frequencies of axially loaded sandwich beams: a closed-form solution
Department of Mechanical Engineering, Changwon National University, Changwon, South Korea
Accepted: 15 October 2021
Published online: 5 November 2021
The present work is aimed to develop a closed-form solution to investigate the effects of hygrothermal environments on the natural frequencies of sandwich beams subjected to compressive axial loads. The piecewise low-order shear deformation theory (PLSDT), Von Karman nonlinear strain–displacement relation, and Hamilton’s principle are used to obtain the governing equations of motion for sandwich beams made of composite face sheets and soft cores. A comprehensive comparison is made to verify the present results. It is shown that the developed closed-form solution is sufficiently accurate to estimate the natural frequencies of axially loaded sandwich beams exposed to hot and wet conditions. A parametric study is carried out to indicate the influence of effective parameters such as temperature, humidity, axial mechanical load, core thickness, beam length, and face sheet layup on the vibration of sandwich beams. It is observed that hygrothermal environments have significant effects on the vibrational behavior of the sandwich beams, the extent of these influences depends on the geometric parameters and the amplitude of axial load. The results of present study can provide a theoretical support for the numerical methods and engineering design.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021