Analysis of beam hypergraphs by means of exact and approximate methods as models of transverse vibrating subsystems in the synthesis of mechanical and mechatronic systems

Journal title

Archive of Mechanical Engineering




vol. 57


No 4



analysis ; exact and Galerkin's methods ; modeling ; graphs ; continuous system

Divisions of PAS

Nauki Techniczne




Polish Academy of Sciences, Committee on Machine Building




Artykuły / Articles


DOI: 10.2478/v10180-010-0025-8 ; ISSN 0004-0738, e-ISSN 2300-1895


Archive of Mechanical Engineering; 2010; vol. 57; No 4; 431-442


Buchacz A. (1995), Modelling, synthesis and analysis of bar systems characterized by a cascade structure represented by graphs, Mech. Mach. Theory, 30, 7, 969, ; Wojnarowski J. (1989), Use of hypergraphs and complete structural numbers in the analysis of vibrating beam systems with non-linearly changing cross-sections, VIBRATION ENGINEERING, 3, 4, 593. ; Bellert S. (1968), The analysis and synthesis of electrical systems by means of the method of structural numbers. ; Białas K. (2009), Synthesis of active mechanical systems with dumping inview of polar graphs and structural numbers. ; Buchacz A. (1991), The Synthesis of Vibrating Bar-Systems Represented by Graph and Structural Numbers. ; Buchacz A. (2005), Design and examining of sensitivity of continuous and discrete-continuous mechanical systems with required frequency spectrum represented by graphs and structural numbers. ; Buchacz A. (2005), The expansion of the synthesized structures of mechanical discrete systems represented by polar graphs, Journal of Materials Processing Technology, 164-165, 1277, ; Buchacz A. (2005), Reverse task of dynamice of active mechanical systems by means the graphs and structural numbers methods. ; Kurnik W. (2004), Damping of mechanical vibrations utilizing shunted piezoelements, Machine Dynamics Problems, 28, 4, 15. ; Buchacz A. (2007), Modelling, synthesis, modification, sensitivity and analysis of mechanic and mechatronic systems, Journal of achievements in materials and manufacturing engineering, 24, 1, 198. ; Buchacz A. (2008), Dynamical flexibility of discrete-continuous vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering, 28, 2, 159. ; Buchacz A. (2008), Characteristics of discrete-continuous flexibly vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering, 28, 1, 43. ; Buchacz A. (2009), Flexibly vibrating subsystem of mechatronic system invesigated by exact and approximate methods, 81. ; Berge C. (1973), Graphs and hypergraphs.