Euler-Bernoulli beams with multiple singularities in the flexural stiffness

European Journal of Mechanics, A/Solids

Volumn 26, Issue 5, 2007, Pages 789-809

  Biondi, B ^a   Caddemi, S ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Distribution theory; Euler Bernoulli beam; Singularities

Indexed keywords

AXIAL DISPLACEMENT; DISTRIBUTION THEORY; EULER-BERNOULLI BEAM; SINGULARITIES;

BOUNDARY CONDITIONS; DEFLECTION (STRUCTURES); DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; STIFFNESS; STRUCTURAL LOADS;

BEAMS AND GIRDERS;

EID: 34447263310     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2006.12.005     Document Type: Article

References (10)

1. Bagarello F. Multiplication of distribution in one dimension: possible approaches and applications to δ-function and its derivatives. Journal of Mathematical Analysis and Applications 196 (1995) 885-901
2. Bagarello F. Multiplication of distribution in one dimension and a first application to quantum field theory. Journal of Mathematical Analysis and Applications 266 (2002) 298-320
3. Biondi B., and Caddemi S. Closed form solutions of Euler-Bernoulli beams with singularities. I. International Journal of Solids and Structures 42 (2005) 3027-3044
4. Bremermann H.J., and Durand III L.J. On analytic continuation, multiplication, and Fourier transformations of Schwartz distributions. Journal Mathematical Physics 2 (1961) 240-257
5. Colombeau J.F. New Generalized Functions and Multiplication of Distribution (1984), North-Holland, Amsterdam
6. Falsone G. The use of generalised functions in the discontinuous beam bending differential equations. International Journal of Engineering Education 18 3 (2002) 337-343
7. Yavari A., and Sarkani S. On applications of generalised functions to the analysis of Euler-Bernoulli beam-columns with jump discontinuities. International Journal of Mechanical Sciences 43 (2001) 1543-1562
8. Yavari A., Sarkani S., and Moyer E.T. On applications of generalised functions to beam bending problems. International Journal of Solids and Structures 37 (2000) 5675-5705
9. Yavari A., Sarkani S., and Reddy J.N. On nonuniform Euler-Bernoulli and Timoshenko beams with jump discontinuities: application of distribution theory. International Journal of Solids and Structures 38 (2001) 8389-8406
10. Yavari A., Sarkani S., and Reddy J.N. Generalised solutions of beams with jump discontinuities on elastic foundations. Archive of Applied Mechanics 71 9 (2001) 625-639