Algorithms of the method of statically admissible discontinuous stress fields (SADSP) : [Part I]

• Autorzy: Bodaszewski W.
• Języki publikacji: EN

Abstrakty

EN

As a form of introduction, the author presents in a broad outline the general concept of the SADSF method, its fundamentals, basic conditions, typical formulation of boundary problems and the essence of difficulties in problem solving. These are not only nonlinearities, singularities, and conditions expressed by complex functions (i.e. given in a form of algorithms), but first of all the structure of the condition system - that is not a priori known - which cause difficulties. As it turns out, the structure depends on boundary conditions, but the relations that express this dependence are not known. In the physical space, it refers to the problems with unknown discretization that is dependent on boundary conditions. Also, as a form of introduction, it will be shown that the investigation of mentioned dependence is possible, anyway. However, it is possible not for two-dimensional fields as a whole, but at least for their component fields around nodes. Thereby fundamental ideas of algorithms are presented in broad outline. Such algorithms are discussed in detail in Parts II and III. The application version of this method, attractive for practical purposes, is briefly described in this part. Numerical examples, also included here, illustrate the position and the possibilities of the method in solving practical problems of shape design of complex thin-wall structures.

Słowa kluczowe

EN

numerical methods; shape desing; SADSF method

PL

metody numeryczne; metoda SADSF

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2004
• Tom: Vol. 52, iss.3
• Strony: 175--193
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Bodaszewski W.

• Kielce University of Technology, [Politechnika Świętokrzyska], Tysiąclecia Państwa Polskiego, 25-314 Kielce

Bibliografia

• 1. W. Szczepiński, Plastic design of machine parts [in Polish], PWN, Warszawa 1968.
• 2. W. Bodaszewski, Stress discontinuity line structures in yield zones satisfying the Huber-Misses condition [in Polish], Engineering Transactions, Part 1, 36, 1, 29-54, 1988; Part 237, 3, 415-442, 1989.
• 3. I. Markiewicz, Numerical determination of statically admissible link systems of stress discontinuity lines in limit Huber-Mises's fields [in Polish], Doctoral Thesis, Warsaw Uni­ versity of Technology, 1996.
• 4. W. Szczepiński, J. SZLAGOWSKI, Plastic design of complex shape structures, Ellis Horwood & PWN, Warszawa- Chichester 1990.
• 5. W. Bodaszewski, Problems of optimisation defined on parameter sets of statically admissible discontinuous stress fields, The Archive of Mechanical Engineering, 44, 4, 311-342, 1997.
• 6. W. Bodaszewski, The software package KNPN for approximation of shaping complex thin-walled structures [in Polish], XII Conference on Computer-Aided Engineering, War­ saw University of Technology, 45-52, 1997.
• 7. P. Gomoliński, J. Szlagowski, The software package to the method of statically admissible stress fields, Proc. of Conf. on CAD, Miskolc 1991.
• 8. W. Bodaszewski, The software package KNPN for approximated shaping of complex plastic structures, VIII-th Symposium on Stability of Structures, t6dz University of Tech­ nology, Poland, 25-30, 1997.
• 9. W. BoDASZEWSKI, Statically admissible nets of stress discontinuity lines [in Polish], IFTR Reports, 43, 1983.
• 10. P. Duyisinx, P. Bendsoe, Topology optimization of continuum structures with local stress constrains, Int. J. Meth. Engng., 43, 1453-1478, 1998.
• 11. M.P. Bendsoe, Optimization of Structural Topology, Shape, and Material, Springer, Berlin 1995.
• 12. Internet website: www.sadsf.net.