Understanding the mechanical behavior of nanoscale structures is crucial in the
development of advanced nanotechnologies. In this study, a novel approach to investigate …

The lateral vibration of cracked isotropic thick beams is investigated. Generally, the analysis
of thick beam based on line elements can be undertaken using either Timoshenko beam …

The present study investigates the free vibration behavior of rotating beams made of
functionally graded materials (FGMs) with a tapered geometry. The material properties of the …

In this paper, a fast Chebyshev-Ritz method for vibro-acoustic analytical modeling of plate-
open cavity coupled systems is developed for the first time. Based on the Chebyshev …

The free vibration of multistepped nanobeams is studied using the dynamic stiffness matrix
method. The beam analysis is based on the Bernoulli–Euler theory, and the nanoscale …

Despite the variety of methods available to solve nonlinear optimal con-trol problems,
numerical methods are still evolving to solve these problems. This paper deals with the …

This paper presents the wave approach for the analysis of free vibration and transmission
response of single and composite spherical shells. From wave standpoint, propagation and …

Purpose The determination of natural frequencies in structural systems is governed by the
order of the underlying partial differential equation that describes the system behavior. In the …

Free vibration of eccentrically stepped beams with one step change in cross-section is
considered. It is assumed that the longitudinal symmetry axes of the beam segments are …

Purpose It is of great significance in scientific research to quickly understand a fractal
nonlinear system by obtaining an analytical solution through a simple calculation. The …