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Full-Text Articles in Mechanical Engineering
Balanced Dissipative Controllers For Flexible Structures, W. Gawronski, Jerzy T. Sawicki
Balanced Dissipative Controllers For Flexible Structures, W. Gawronski, Jerzy T. Sawicki
Mechanical Engineering Faculty Publications
A balanced approach to shaping the closed-loop properties of the dissipative controllers for flexible structures is presented. In the balanced representation the properties of flexible structures are introduced, and a simple method of designing of the dissipative controllers is obtained. It relates the controller gains with the closed-loop pole locations. The examples illustrate the accuracy of the design method.
Diophantine Type Fractional Derivative Representation Of Structural Hysteresis, Part Ii: Fitting, Computational Mechanics, Jerzy T. Sawicki, Joe Padovan
Diophantine Type Fractional Derivative Representation Of Structural Hysteresis, Part Ii: Fitting, Computational Mechanics, Jerzy T. Sawicki, Joe Padovan
Mechanical Engineering Faculty Publications
Part I of this series introduced the diophantinized fractional model and the decompositional formulation. The various important properties of fractional continuum formulation and its decomposed version were developed. In Part II the dynamic properties of the diophantine representation are investigated. The model fitting scheme will be developed to handle an arbitrary frequency dependent structural hysteriesis. This is followed up with the results of benchmark studies which demonstrate the effectiveness of fitting.
Diophantine Type Fractional Derivative Representation Of Structural Hysteresis, Part I: Formulation, Joe Padovan, Jerzy T. Sawicki
Diophantine Type Fractional Derivative Representation Of Structural Hysteresis, Part I: Formulation, Joe Padovan, Jerzy T. Sawicki
Mechanical Engineering Faculty Publications
Based on a diophantine representation of the operational powers, a fractional derivative modelling scheme is developed to simulate frequency dependent structural damping. The diophantine set of powers is established by employing the curvature properties of the defining empirical data set. These together with a remezed least square scheme are employed to construct a Chebyschev like optimal differintegro simulation. Based on the use of the rational form resulting from the diophantine representation, a composition rule is introduced to reduce the differintegro simulation to first order form. The associated eigenvalue/vector properties are then explored. To verify the robustness-stability accuracy of the overall …