Browsing by Subject "zginanie belek"

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Access status: Open Access ,
Rozwiązywanie belek z wykorzystaniem funkcji Heaviside'a i Diraca
(2007) Hałat, Włodzimierz
Utilization of symbolic calculations method (Computer Algebra System) allows to solve problems, that can be precisely described with mathematical formulas. Use of the method proposed by A. Clebsch - under condition of a certain way of notation - simplifies solutions of bending beams. This also allows introducing Heaviside's and Dirac's functions, connected with distribution theory, for solutions the problems. The functions connected with abstract differential operator noted as D, allow for compact symbolic way of calculations beams under bending conditions.
Access status: Open Access ,
Zastosowanie procedur obliczeniowych do rozwiązywania zginanych belek
(Wydawnictwa AGH, 2008) Hałat, Włodzimierz
Codes of Computer Algebra System (CAS) belong to a common codes group. It is necessary to emphasize, there are not ready codes for a specific calculations, connected for example with a strength of materials discipline and especially for bent of beams. Sending of the routine algorithmic calculations to the computer, be means of the methods presented in the paper, the procedures based on the CAS and the distribution calculus may bring many advantages. The most important one is a simplification and shortening of notation. Knowing that the CAS method eliminates calculus errors the procedures will be considered as a means but not a final goal. In the paper there were presented the worksheets including solutions for of two beams. After choosing from the menu Edit/Execute/Worksheet option it is enough to press enter button to get the solutions in the form of charts describing the bent beams. The calculations have been performed with the Maple's. The presented procedures recorded in the »Proc_beam« file are »ready for use« that facilitate and simplify use of Maple's for solution of bent beams.