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2 Journal of Achievements in Materials and Manufacturing Engineering

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Analysis of mechanical systems with transversal vibrations in transportation

Buchacz A., Żółkiewski S.

Journal of Achievements in Materials and Manufacturing Engineering

2008

Vol. 31, nr 2

434-441

Purpose: of this article are modelling and dynamic analysis of mechanical systems during the rotational movement. Nowadays technical problems are tied with high speeds of mechanisms, high precision of work, using lower density materials, and many other high demands for elements of work. Objective of this paper was the analysis with giving into consideration the interaction between working motion and local vibrations. The model is loaded by transverse forces and transformed to the global reference frame. Design/methodology/approach: derived equations of motion were made by the Lagrange equations method with generalized coordinates and generalized velocities assumed as orthogonal projections of individual coordinates and velocities of each beam to axes of the global reference frame. Findings: systems of equations of motion of transversally vibrating systems in two-dimensional motion will be put to use to derivation of the dynamical flexibility of these systems and complex systems. Those equations are the beginning of the analysis of complex systems. They can also be used to derivation of the substitute dynamical flexibility of n-linked systems. Research limitations/implications: mechanical systems vibrating transversally in terms of two-dimensional motion were considered in the thesis. The consecutive problem of dynamical analysis is modelling of systems in spatial motion and also the analysis of systems loaded by longitudinal forces. Practical implications: mathematical effects of this article can be put to use into many mechanisms and machines running in rotational transportation. For example applications are: high speed turbines, wind power plants, rotors, manipulators and in aerodynamics issues, etc. Of course results should be adopted and modified to appropriate system. Originality/value: High demands for parameters of work of mechanisms and machines are the postulation for new research and new ways of modelling and analyzing those type systems. The example way of solution such systems is presented in this thesis. The transportation effect for models vibrating transversally was defined.

Dynamic analysis of the mechanical systems vibrating transversally in transportation

Buchacz A., Żółkiewski S.

Journal of Achievements in Materials and Manufacturing Engineering

2007

Vol. 20, nr 1-2

331-334

Purpose: Purpose of this paper is analysis and modelling of mechanical systems in transportation. The contemporary technical problems are lashed with high work demands such as high speeds of mechanisms, using lower density materials, high precision of work, etc. The main objective of this thesis was the dynamical analysis with taking into consideration the interaction between main motion and local vibrations during the model is loaded by transverse forces. Design/methodology/approach: Equations of motion were derived by classical methods, the Lagrange equations with generalized coordinates and generalized velocities assumed as orthogonal projections of individual coordinates and velocities of the beam and manipulators to axes of the global inertial frame. Findings: Presented mathematical model of the transversally vibrating systems in planar transportation can be put to use to derivation of the dynamical flexibility of these systems, moreover those equations are the starting point to the analysis of complex systems. In particular we can use those equations to derivation of the substitute dynamical flexibility of multibody systems. Research limitations/implications: There were considered mechanical systems vibrating transversally in terms of plane motion. Next problem of dynamical analysis is the analysis of systems in non-planar transportation and systems loaded by longitudinal forces. Practical implications: Results of this thesis can be put to use into all machines and mechanisms running in transportation such as wind power plants, high speed turbines, rotors, manipulators and in aerodynamics issues, etc. Some results ought to be modified and adopted to appropriate models. Originality/value: High requirements applying to parameters of work of machines and mechanisms are caused the new research and new ways of modelling and analyzing those systems. One of these ways are presented in this thesis. There was defined the transportation effect for models vibrating transversally.