In this study, exact closed-form expressions for the vibration modes of the Euler–Bernoulli
beam in the presence of multiple concentrated cracks are presented. The proposed …

In this paper, a comprehensive study on mechanical behavior of non-uniform small scale
beams in the framework of nonlocal strain gradient theory is presented. The governing …

The problem of the integration of the static governing equations of the uniform Euler–
Bernoulli beam with discontinuities is studied. In particular, two types of discontinuities have …

Euler–Bernoulli beams under static loads in presence of discontinuities in the curvature and
in the slope functions are the object of this study. Both types of discontinuities are modelled …

Localized flexibility models of cracks enable one for simple and effective representation of
the behavior of damaged beams and frames. Important applications, such as the …

The use of distributions (generalized functions) is a powerful tool to treat singularities in
structural mechanics and, besides providing a mathematical modelling, their capability of …

Dirac's delta functions enable simple and effective representations of point loads and
singularities in a variety of structural problems, leading very often to elegant and otherwise …

Presenting new functions, basic displacement functions (BDFs), a novel method based on
mechanical/structural principles is introduced for free vibration analysis of arbitrarily tapered …

This paper is concerned with the bending response of nonlocal elastic beams under
transverse loads, where the nonlocal elastic model of Eringen, also called the stress …

The bending problem of Euler–Bernoulli discontinuous beams is dealt with. The purpose is
to show that uniform-beam Green's functions can be used to build efficient solutions for …