The solution of static problem of arch structures by the difference equation method

• Autorzy: Rakowski J. , Łasecka-Plura M.
• Języki publikacji: EN

Abstrakty

EN

The solution of a bending problem for a circular arch loaded by nodal forces has been presented herein. The considered structure is divided into a regular mesh of identical finite elements. Equilibrium equations have becnwriiten in the form of three difference equations. The solution has beenobtained in the analytical closed form which does not depend on mesh density.

Słowa kluczowe

EN

finite element method; difference equations method; eigenfunction method; arch structures

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Civil and Environmental Engineering
• Rocznik: 2006
• Tom: No. 8
• Strony: 99--110
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Rakowski J.

autor

Łasecka-Plura M.

• Poznan University of Technology, Institute of Structural Engineering Tel.: [phone]; fax: [phone],

Bibliografia

• 1. Rakowski J., Switka R.: On some generał i zations of the eigenfunction method used to the elastic discrete systems (in Polish), Poznań, Wydawnictwo Politechniki Poznańskiej 1980.
• 2. Litewka P., Rakowski J.: The exact thick arch finite element, Computers and Structures, 68, (1998) 369-379.
• 3. Rakowski J.: A critical analysis of ąuadratic beam fmite elemcnts, International Journal for Numerical Methods in Engineering, 31, (1991) 949-966.
• 4. Rakowski J., Łasecka-Plura M.: Sixth-order difference eąuation in the ana-lytical solution of static and dynamie problerns of arch structurcs., lllh International Conference on Difference Eąuations and Applications, July 24-28, Kyoto, 2006.