Euler–Bernoulli beams with multiple singularities in the flexural stiffness

By B. Biondi, Salvatore Caddemi. 2007

136 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e8fa7f56db7f87b0ddd8c3dc3790c31867c38ade

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Ivo Caliò
2. Alessandro Palmeri
3. A. Cicirello
4. Francesco Cannizzaro
5. Salvatore Caddemi

In Civil and Structural Engineering

1. Alessandro Palmeri
2. A. Cicirello
3. Ivo Caliò
4. Salvatore Caddemi
5. Antonino Morassi
6. Francesco Cannizzaro

In Mechanics of Materials

1. Ivo Caliò
2. Alessandro Palmeri
3. A. Cicirello
4. Salvatore Caddemi
5. Francesco Cannizzaro
6. Antonino Morassi

Citations in the corpus

• Multi-cracked Euler-Bernoulli beams: Mathematical modeling and exact solutions (2013, background): “Exact solutions, in static, dynamic and stability contexts, have been found by Caddemi and co-workers in a series of papers (Biondi and Caddemi, 2005; Biondi and Caddemi, 2007; Caddemi and Calió, 2009; Caddemi and Calió, 2008; Caddemi and Calió, 2012).”
• Exact closed-form solution for the vibration modes of the Euler-Bernoulli beam with multiple open cracks (2009, methodology): “The latter expressions are reported in the appendix of their paper and are directly obtained from the closed-form solutions provided in [47].”
• Exact solution of the multi-cracked Euler–Bernoulli column (2008, background): “Recently the model of flexural stiffness with singularities, represented by Dirac’s deltas, has been shown to be equivalent to an internal hinge endowed with a rotational spring (Biondi and Caddemi, 2005, 2007), hence it can be adopted to model concentrated cracks (Buda and Caddemi, 2007).”
• Physically-based Dirac’s delta functions in the static analysis of multi-cracked Euler–Bernoulli and Timoshenko beams (2011, methodology): “(30) in the paper by Biondi and Caddemi (2007).”
• Closed-form solutions for stepped Timoshenko beams with internal singularities and along-axis external supports (2013, methodology): “To this aim, the authors have proposed an approach to beam with discontinuities, based on suitable reductions in the flexural stiffness, modelled bymeans of generalised functions such as the Dirac’s delta and the Heaviside unit-step function [10,11] that allowed also the study of multiple cracked be”