Krzysztof Pawel Arczewski, Ph.D.,D.Sc.

Basic information: Doctoral studies at the Faculty of Power and Aeronautical Engineering Studies at the Faculty of Power and Aeronautical Engineering - Aerospace Engineering Scientific Interests: Mechanics Vibrations Analytical Mechanics Mechanics of Discrete Systems Mathematical Modelling of Engineering Systems

Major Publications:

Books:

• Arczewski K., Goraj Z., Pietrucha J.: Elements of Modelling in Mechanics - Discrete Systems, WPW, Warsaw, 1983 (in Polish).
• Arczewski K.: Structural Methods of the Complex Mechanical Systems Analysis, WPW, Warsaw, 1988 (in Polish).
• Arczewski K., Pietrucha J.: Mathematical Modelling of Complex Mechanical Systems - Vol.1 Discrete Models, Ellis Horwood, Chichester, 1993.
• Arczewski K.: Kinematics of Discrete Systems, Publishing Company PW, Warsaw, 1994 (in Polish).

Papers:

• Arczewski K.: Topological Analysis of a Class of Lumped Vibrational Systems by the Method of Structural Numbers, J. of Sound and Vibr., 97 (1), 1984, pp.75-86.
• Arczewski K.: Determination of Christoffel Symbols of the First Kind for a Class of Rigid Body Systems by Topological Considerations, Int. J. Mech. Sci., 29 (1), 1986, pp.11-22.
• Arczewski K.: System Sensitivity for a Class of Mechanical Systems by the Method of Structural Numbers, J. of Sound and Vibr., 111 (2), 1986, pp.251-259.
• Arczewski K.: Application of Graph Theory to the Determination of Kinetic Energy of Rigid Body Systems, J. Franklin Inst., 324 (3), 1987, pp.351-367.
• Arczewski K.: Application of Graph Theory to the Determination of Potential Energy of Systems Consisting of Rigid Bodies and Springs, J. Franklin Inst., 324 (3),1987, pp.369-386.
• Arczewski K.: Mathematical Modelling of a Class of Rigid Body Systems, ZAMM, 69(5), 1989, T293-T295.
• Arczewski K.: Application of Graph Theory to the Mathematical Modelling of a Class of Rigid Bodies Systems, J. Franklin Inst., 327 (2), 1990, pp.209-223.
• Arczewski K., Re-analysis of a Class of Mechanical Systems by the Method of Structural Numbers, J. of Sound and Vibr., 1990, 141 (2), pp.335-345.
• Arczewski K., Application of Graph Theory to the Mathematical Modelling of a Class of Rigid Bodies Systems, J. Franklin Inst., 327 (2), 1990, 209-223.
• Arczewski K., Re-analysis of a Class of Mechanical Systems by the Method of Structural Numbers, J. of Sound and Vibr., 1990, 141 (2), 335-345.
• Arczewski K., Graph Theoretical Approach - I. Determination of Kinetic Energy for a Class of Particle Systems, J. Franklin Inst., 329 (3), 1992, pp.469-481.
• Arczewski K., Graph Theoretical Approach II. Determination of Generalised Forces for a Class of Systems Consisting of Particles and Springs, J. Franklin Inst., 329 (3), 1992, pp.483-491.
• Dul F., Arczewski K.: The Two-Phase Method for Finding a Great Number of Eigenpairs of the Symmetric or Weakly Non-symmetric Large Eigenvalue Problems, Jour. of Computational Physics, Vol.111 No.1. March 1994, pp.89-109.
• Arczewski K., Dul F.: Determination of Angular Velocities within a Multibody System by Means of Graphs, ZAMM Z. angew. Math. Mech., Vol.75, 1995, SI, S105-S106.
• Dul F., Arczewski K.: Solving Very Large Generalized Symmetric and Some Non-Symmetric Eigenproblems by the Two-Phase Method, ZAMM Z. angew Math. Mech., Vol.75, 1995, SII, S623-S624.
• Arczewski K.: -Matrix - Its D efinition, Interpretation and Application, Mech. Mach. Theory, Vol.30, No.7, pp.943-952, 1995.

Visits within signed agreements of international cooperations:

• Curt - Risch Institute - University Hannover, Germany

Additional information:

• Polish Society of Theoretical and Applied Mechanics Member (Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej)
• Member of Gesellschaft für Angewandte Mathematik und Mechanik

Teaching:

• Mechanics
• Vibrations
• Analytical Mechanics
• Mechanics of Discrete Systems
• Mathematical Modelling of Engineering Systems