The free vibration and stability of axially functionally graded tapered Euler–Bernoulli beams
are studied through solving the governing differential equations of motion. Observing the fact …

Non-uniform elements, such as non-prismatic and those made from composite materials, are
commonly used in structures. This is because the variation in their internal forces makes …

The present paper discusses simple compatibility, equilibrium, and constitutive equations for
a non-prismatic planar beam. Specifically, the proposed model is based on standard …

A transfer-matrix method is developed to determine more accurate solutions to the free
vibration characteristics of a tapered Bernoulli–Euler beam. The roots of the differential …

Non-prismatic beams are widely employed in strategic structures like bridges and sport
arenas, requiring accurate analyses for a reliable and effective design. Unfortunately …

An exact free vibration and buckling analysis of a tapered beam-column with general
connections is calculated. All structural elements are made of functionally graded material …

In the last decades, a wide range of methods have been proposed for the analysis of
compliant mechanisms. In this investigation, the theory of the ellipse of elasticity is tailored to …

This paper presents a transfer matrix expression that can be used to determine the
eigenpairs of a rotating beam with a cross section height that linearly decreases along the …

This paper presents a comparison among different flexibility models of elastic elements to be
implemented in multibody simulations of compliant mechanisms. In addition to finite-element …

The present paper combines an effective beam theory with a simple and accurate numerical
technique opening the door to the prediction of the structural behavior of planar beams …