On applications of generalized functions to the analysis of Euler-Bernoulli beam-columns with jump discontinuities

83 citations recorded by the source corpus.

How researchers see this paper

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

Exact closed-form solution for the vibration modes of the Euler-Bernoulli beam with multiple open cracks (2009, methodology): “The procedure proposed in these papers to treat the governing equations within the context of distributions has also been adopted for the case of columns in the presence of discontinuities [41] and the case of Euler–Bernoulli and Timoshenko beams with jump discontinuities on discontinuous foundation”
Closed-form solutions for stepped Timoshenko beams with internal singularities and along-axis external supports (2013, methodology): “These classical models have been improved by means of procedures based on the adoption of the Laplace transform method [4] or by formulating the governing differential equations in the space of generalised functions and introducing the auxiliary beam method [5,6].”