dr Tomasz Szmidt

Zakład Technologii Inteligentnych (ZTI)
Pracownia Sterowania i Dynamiki Układów (PSiDU)
stanowisko: adiunkt
telefon: (+48) 22 826 12 81 wew.: 267
pokój: 437
e-mail: tszmidt

Doktorat
2012-09-19Aktywne i pasywne tłumienie drgań giętnych belki z wykorzystaniem zjawisk elektromagnetycznych  (PW)
promotor -- dr hab. inż. Piotr Przybyłowicz, PW
1076
 
Ostatnie publikacje
1.Bajer C.I., Pisarski D., Szmidt T., Dyniewicz B., Intelligent damping layer under a plate subjected to a pair of masses moving in opposite directions, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2017.01.046, Vol.394, pp.333-347, 2017
Bajer C.I., Pisarski D., Szmidt T., Dyniewicz B., Intelligent damping layer under a plate subjected to a pair of masses moving in opposite directions, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2017.01.046, Vol.394, pp.333-347, 2017

Abstract:
Reducing displacements of a plate vibrating under a pair of masses traveling in opposite directions can be improved by adding a smart subsoil instead of a classical damping layer. We propose a material that acts according to the instantaneous state of the plate, i.e., its displacements and velocity. Such an intelligent damping layer reduces vertical displacements even by 40%–60%, depending on the type of load and the assumed objective function. Existing materials enable the application of the proposed layer in a semi-active mode. The passive mode can be applied with materials exhibiting direction-dependent viscosity.

Keywords:
Plate vibration, Moving load, Intelligent damping layer, Semi-active damping

35p.
2.Szmidt T., Pisarski D., Bajer C.I., Dyniewicz B., Double-beam cantilever structure with embedded intelligent damping block: Dynamics and control, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2017.04.033, Vol.401, pp.127-138, 2017
Szmidt T., Pisarski D., Bajer C.I., Dyniewicz B., Double-beam cantilever structure with embedded intelligent damping block: Dynamics and control, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2017.04.033, Vol.401, pp.127-138, 2017

Abstract:
In this paper, a semi-active method to control the vibrations of twin beams connected at their tips by a smart damping element is investigated. The damping element can be made of a magnetorheological elastomer or a smart material of another type, for instance, vacuum packed particles. What is crucial is the ability to modify the storage and loss moduli of the damping block by means of devices attached directly to the vibrating structure. First, a simple dynamical model of the system is proposed. The continuous model is discretized using the Galerkin procedure. Then, a practical state-feedback control law is developed. The control strategy aims at achieving the best instantaneous energy dissipation of the system. Numerical simulations confirm its effectiveness in reducing free vibrations. The proposed control strategy appears to be robust in the sense that its application does not require any knowledge of the initial conditions imposed on the structure, and its performance is better than passive solutions, especially for the system induced in the first mode.

Keywords:
Vibration control, Double-beam structure, Sandwich beam, Magnetorheological elastomer, Semi-active damping, Stabilization

35p.
3.Szmidt T., Shear deformation damping of a double-beam structure, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2016.01.044, Vol.370, pp.163-175, 2016
Szmidt T., Shear deformation damping of a double-beam structure, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2016.01.044, Vol.370, pp.163-175, 2016

Abstract:
The dynamics of twin cantilever beams connected at their free ends by a viscoelastic member is investigated. A series of experiments with damping members made of various materials was conducted. A dynamic model of the structure is proposed. It fits the experimental data well, and allows estimating the Kirchhoff modulus and shear damping coefficient of the member. The influence of geometry of the damping element on oscillatory characteristics of the system is investigated.

Keywords:
Beam dynamics, Double-beam system, Shear deformation, Elastomer, Semi-active, Damping

35p.
4.Pisarski D., Szmidt T., Bajer C.I., Dyniewicz B., Bajkowski J.M., Vibration Control of Double-Beam System with Multiple Smart Damping Members, SHOCK AND VIBRATION, ISSN: 1070-9622, DOI: 10.1155/2016/2438902, Vol.2016, pp.2438902-1-14, 2016
Pisarski D., Szmidt T., Bajer C.I., Dyniewicz B., Bajkowski J.M., Vibration Control of Double-Beam System with Multiple Smart Damping Members, SHOCK AND VIBRATION, ISSN: 1070-9622, DOI: 10.1155/2016/2438902, Vol.2016, pp.2438902-1-14, 2016

Abstract:
A control method to stabilize vibration of a double cantilever system with a set of smart damping blocks is designed and numerically evaluated. The externally controlled magnetorheological sheared elastomer damping block is considered, but other smart materials can be used as well. The robust bang-bang control law for stabilization the bilinear system is elaborated. The key feature of the closed loop controller is the efficiency for different types of initial excitement. By employing the finite element model, the performance of the controller is validated for strong wind blow load and concentrated impact excitement of the particular point of one of the beams. For each of the excitations, the closed loop control outperforms the optimal passive damping case by over 27% for the considered energy metric.

20p.
5.Krejtz K., Duchowski A., Szmidt T., Krejtz I., González Perilli F., Pires A., Vilaro A., Villalobos N., Gaze Transition Entropy, ACM Transactions on Applied Perception, ISSN: 1544-3558, DOI: 10.1145/2834121, Vol.13, No.1, pp.4:1-20, 2015
Krejtz K., Duchowski A., Szmidt T., Krejtz I., González Perilli F., Pires A., Vilaro A., Villalobos N., Gaze Transition Entropy, ACM Transactions on Applied Perception, ISSN: 1544-3558, DOI: 10.1145/2834121, Vol.13, No.1, pp.4:1-20, 2015

Abstract:
This article details a two-step method of quantifying eye movement transitions between areas of interest (AOIs). First, individuals' gaze switching patterns, represented by fixated AOI sequences, are modeled as Markov chains. Second, Shannon's entropy coefficient of the fit Markov model is computed to quantify the complexity of individual switching patterns. To determine the overall distribution of attention over AOIs, the entropy coefficient of individuals' stationary distribution of fixations is calculated. The novelty of the method is that it captures the variability of individual differences in eye movement characteristics, which are then summarized statistically. The method is demonstrated on gaze data collected from two studies, during free viewing of classical art paintings. Normalized Shannon's entropy, derived from individual transition matrices, is related to participants' individual differences as well as to either their aesthetic impression or recognition of artwork. Low transition and high stationary entropies suggest greater curiosity mixed with a higher subjective aesthetic affinity toward artwork, possibly indicative of visual scanning of the artwork in a more deliberate way. Meanwhile, both high transition and stationary entropies may be indicative of recognition of familiar artwork.

Keywords:
Eye movement transitions, entropy, Markov chain

25p.
6.Zalewski R., Szmidt T., Application of Special Granular Structures for semi-active damping of lateral beam vibrations, ENGINEERING STRUCTURES, ISSN: 0141-0296, DOI: 10.1016/j.engstruct.2014.01.035, Vol.65, pp.13-20, 2014
Zalewski R., Szmidt T., Application of Special Granular Structures for semi-active damping of lateral beam vibrations, ENGINEERING STRUCTURES, ISSN: 0141-0296, DOI: 10.1016/j.engstruct.2014.01.035, Vol.65, pp.13-20, 2014

Abstract:
A new semi-active damping of vibrations method is presented, which is based on loose granular grains that are placed in a hermetic sleeve that is surrounding a steel beam, forming a complex controllable granular beam structure. Changing the partial pressure inside the structure results in changes of the elastic and dissipative properties of the system resulting from the granules’ jamming mechanism. The paper presents both experimental and theoretical analyses of a vibrating cantilever granular beam system. The linear Bernoulli–Euler beam model with Kelvin–Voigt damping that depends on underpressure is used to describe the behavior of the investigated structure. The proposed strategy of vibrations damping is found to be easy to implement, provides satisfactory damping, and is efficient, but also indicates that a nonlinear beam model may be a better fit.

Keywords:
Special Granular Structures, Semi-active damping of vibrations, Jamming mechanism, Experiments, Modeling, Beam vibrations

40p.
7.Szmidt T., Zalewski R., Inertially excited beam vibrations damped by Vacuum Packed Particles, SMART MATERIALS AND STRUCTURES, ISSN: 0964-1726, DOI: 10.1088/0964-1726/23/10/105026, Vol.10, pp.105026-1-9, 2014
Szmidt T., Zalewski R., Inertially excited beam vibrations damped by Vacuum Packed Particles, SMART MATERIALS AND STRUCTURES, ISSN: 0964-1726, DOI: 10.1088/0964-1726/23/10/105026, Vol.10, pp.105026-1-9, 2014

Abstract:
The dynamics of an inertially excited steel cantilever beam encapsulated in a hermetic sleeve filled with polypropylene grains is investigated experimentally and theoretically. An electric motor rotating an unbalanced mass is attached at the end of the beam to generate forced vibrations of the system. Changing the underpressure in the sleeve results in changes of the stiffness and dissipative properties of the composite structure, which allow one to control the resonant characteristics of the system. Is is shown that the amplitude of vibrations can be reduced in this way. This innovative semi-active method of vibration damping is based on the jamming mechanism of the granules, and proved to be efficient in the reduction of the free vibrations of the beam, which was studied in the authors' latest paper. In the present work, it is confirmed that the classical Bernoulli–Euler beam model with Kelvin–Voigt damping provides a satisfactory explanation of the observed relation between the vibrations amplitude and underpressure.

Keywords:
Vacuum Packed Particles, semi-active damping, jamming mechanism, inertial excitation

40p.
8.Szmidt T., Przybyłowicz P., Critical load and non-linear dynamics of Beck’s column with electromagnetic actuators, INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, ISSN: 0020-7462, DOI: 10.1016/j.ijnonlinmec.2014.08.002, Vol.67, pp.63-73, 2014
Szmidt T., Przybyłowicz P., Critical load and non-linear dynamics of Beck’s column with electromagnetic actuators, INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, ISSN: 0020-7462, DOI: 10.1016/j.ijnonlinmec.2014.08.002, Vol.67, pp.63-73, 2014

Abstract:
This paper deals with the dynamic stability and near-critical vibrations of Beck׳s column with electromagnetic actuators. The governing equations of the actuators are derived, and the continuous dynamics problem of the column is discretised with the multimodal Galerkin procedure. Firstly, the linear analysis of the stability is carried out. An application of the electromagnetic actuators leads to increase in the critical load and considerably affects the initial flutter frequency. Then the Iooss and Joseph method of construction of the bifurcating solution is used to obtain analytical approximations of the near-critical periodic vibrations. It is shown that the electromagnetic effects lead to a supercritical Hopf bifurcation of the equilibrium state of the column into an orbitally stable limit cycle. Moreover, the actuators allow one to decrease significantly the amplitude of the post-critical vibrations. The effect of magnetic damping strongly depends on the position at which the actuators are attached to the column. Theoretical predictions are verified by numerical simulations of the system.

Keywords:
Beck׳s column, Electromagnetic actuators, Follower load, Hopf bifurcation, Flutter, Dynamic stability

30p.
9.Szmidt T., Przybyłowicz P., Critical flow velocity in a pipe with electromagnetic actuators, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 1429-2955, Vol.51, No.2, pp.487-496, 2013
Szmidt T., Przybyłowicz P., Critical flow velocity in a pipe with electromagnetic actuators, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 1429-2955, Vol.51, No.2, pp.487-496, 2013

Abstract:
We study the influence of electromagnetic damping on the dynamics of a pipe conveying fluid. Pipes supported at both ends as well as cantilever ones (both discharging and aspirating the fluid) are considered. We assume physical parameters of the systems which allow an experimental verification of results. We develop simple methods of calculation of the internal and external damping coefficients which are based on known models, and do not require experiments. The governing partial equation of the pipe is discretised with Galerkin’s procedure, and the stability of the resultant dynamical system is determined with eigenvalues of its linearization. The actuators destabilise the pipe supported at both ends, but can remarkably improve stability of cantilever ones. The effect of magnetic damping strongly depends on the position at which actuators are attached to the pipe.

Keywords:
pipe conveying fluid, dynamic stability, flutter, electromagnetic actuators

15p.
10.Szmidt T., Przybyłowicz P., An active electromagnetic stabilization of the Leipholz column, Archives of Control Sciences, ISSN: 1230-2384, DOI: 10.2478/v10170-011-0018-y, Vol.22, No.2, pp.161-174, 2012
Szmidt T., Przybyłowicz P., An active electromagnetic stabilization of the Leipholz column, Archives of Control Sciences, ISSN: 1230-2384, DOI: 10.2478/v10170-011-0018-y, Vol.22, No.2, pp.161-174, 2012

Abstract:
We study the application of electromagnetic actuators for the active stabilization of the Leipholz column. The cases of the compressive and tensional load of the column placed in air and in water are considered. The partial differential equation of the column is discretized by Galerkin’s procedure, and the stability of the obtained control system is evaluated by the eigenvalues of its linearization. Four different methods of active stabilization are investigated. They incorporate control systems based on feedback proportional to the transverse displacement of the column, its velocity and the current in the electromagnets. Conditions in which these strategies are effective in securing safe operation of the column are discussed in detail.

Keywords:
follower load, flutter, closed-loop control, active stabilization, electromagnetic actuators

9p.
11.Przybyłowicz P.M., Szmidt T., Nonlinear response of a harmonically driven oscillator in magnetic field, Archives of Control Sciences, ISSN: 1230-2384, DOI: 10.2478/v10170-010-0002-y, Vol.20, No.1, pp.19-30, 2010
Przybyłowicz P.M., Szmidt T., Nonlinear response of a harmonically driven oscillator in magnetic field, Archives of Control Sciences, ISSN: 1230-2384, DOI: 10.2478/v10170-010-0002-y, Vol.20, No.1, pp.19-30, 2010

Abstract:
The paper presents analysis of nonlinear response of a classical mechanical oscillator placed within a magnetic field and driven by a harmonic force. With an appropriate choice of control parameters, the system vibrates chaotically between different equilibrium positions. To prove this result, Lyapunov exponents have been calculated using the algorithm proposed by Rangarajan G., Habib S. and Ryne R. [18]. Moreover, the appropriate time series, phase portrait, Poincaré cross-section and power spectrum are given to support the conclusion.

Keywords:
nonlinear vibrations, oscillator, chaos, stability, magnetic damping

6p.
12.Przybyłowicz P.M., Szmidt T., Electromagnetic damping of a mechanical harmonic oscillator with the effect of magnetic hysteresis, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 1429-2955, Vol.47, No.2, pp.259-273, 2009
Przybyłowicz P.M., Szmidt T., Electromagnetic damping of a mechanical harmonic oscillator with the effect of magnetic hysteresis, JOURNAL OF THEORETICAL AND APPLIED MECHANICS, ISSN: 1429-2955, Vol.47, No.2, pp.259-273, 2009

Abstract:
The paper presents a method of damping of mechanical vibrations by application of electromagnetic actuators. The physical phenomena that take place in such elements are related to magnetic induction and hysteresis. Induction, which consists in generation of electric current in a conductor placed within a variable magnetic field, has a precise quantitative description in form of the Faraday law. At the same time, magnetic hysteresis in ferromagnetic materials reflects the relation between magnetization of a given sample and magnitude of the external magnetic field that had been active during its whole history. Unfortunately, there is no at present a single commonly accepted model of this phenomenon. In this paper, some considerations by Bertotti (1998) are incorporated to this subject. The authors use a bilinear magnetization curve, which depicts the phenomenon of magnetic saturation. Analysis of the derived equations of motion of the coupled electromagneto-mechanical model revealed that the effect of hysteresis on reduction of vibration amplitude is rather of minor impact, however noticeable. At the same time, the electromagnetic damping itself is powerful. To support the conclusions, appropriate time histories, graphs of the logarithmic damping decrement as well as resonant characteristics are given here as in the previous authors’ paper.

Keywords:
damping of vibration, electromagnetic actuator, magnetic hysteresis, saturation

9p.
13.Przybyłowicz P.M., Szmidt T., Magnetyczne tłumienie drgań oscylatora harmonicznego, MODELOWANIE INŻYNIERSKIE, ISSN: 1896-771X, Vol.4, No.35, pp.101-106, 2008
Przybyłowicz P.M., Szmidt T., Magnetyczne tłumienie drgań oscylatora harmonicznego, MODELOWANIE INŻYNIERSKIE, ISSN: 1896-771X, Vol.4, No.35, pp.101-106, 2008

Abstract:
Oscylator harmoniczny zawieszony pomiędzy dwoma elektromagnesami może być skutecznie tłumiony magnetycznie. Postać drgań, charakter tłumienia, liczba i stateczność punktów równowagi zależą od napięcia załączonego do elektromagnesów. Drgania wymuszone w pewnych warunkach przypominają drgania chaotyczne. Wpływ histerezy magnetycznej jest pominięty.

Keywords:
siłowniki elektromagnetyczne, tłumienie drgań, oscylator


Lista rozdziałów w ostatnich monografiach
1.
350
Kurnik W., Przybyłowicz P., Szmidt T., Influence of parameter modifications on structure vibrations, rozdział: An application of electromagnetic phenomena to damping of mechanical vibrations, Instytut Technologii Eksploatacji - PIB, Radom, pp.53-87, 2009

Prace konferencyjne
1.Krejtz K., Szmidt T., Duchowski A., Krejtz I., Entropy-based Statistical Analysis of Eye Movement Transitions, ETRA '14, Symposium on Eye Tracking Research and Applications, 2014-03-26/03-28, Safety Harbor, Florida (US), DOI: 10.1145/2578153.2578176, pp.159-166, 2014
Krejtz K., Szmidt T., Duchowski A., Krejtz I., Entropy-based Statistical Analysis of Eye Movement Transitions, ETRA '14, Symposium on Eye Tracking Research and Applications, 2014-03-26/03-28, Safety Harbor, Florida (US), DOI: 10.1145/2578153.2578176, pp.159-166, 2014

Abstract:
The paper introduces a two-step method of quantifying eye movement transitions between Areas of Interests (AOIs). First, individuals’ gaze switching patterns, represented by fixated AOI sequences, are modeled as Markov chains. Second, Shannon’s entropy coefficient of the fit Markov model is computed to quantify the complexity of individual switching patterns. To determine the overall distribution of attention over AOIs, the entropy coefficient of individuals’ stationary distribution of fixations is calculated.

The novelty of the method is that it captures the variability of individual differences in eye movement characteristics, which are then summarized statistically. The method is demonstrated on gaze data collected during free viewing of classical art paintings. Shannon’s coefficient derived from individual transition matrices is significantly related to participants’ individual differences as well as to their aesthetic experience of art pieces.

Keywords:
eye movements, transition matrix, Shannon entropy, Markov model, gaze distribution


Abstrakty konferencyjne
1.Szmidt T., Konowrocki R., Flutter vibrations of pipe conveying air damped by electromagnetic devices of motional type, PTSK, 24th PTSK Scientific Workshop International Conference Simulation in Research and Development, 2017-05-24/05-27, Krynica (PL), pp.1-2, 2017
Szmidt T., Konowrocki R., Flutter vibrations of pipe conveying air damped by electromagnetic devices of motional type, PTSK, 24th PTSK Scientific Workshop International Conference Simulation in Research and Development, 2017-05-24/05-27, Krynica (PL), pp.1-2, 2017

Abstract:
The analysis of stability the pipe with electromagnetic coupling in active elements has been done. Application of electromagnetic actuators leads to an increase in the critical flow velocity.The frequency of self-excited vibrations can either change with the volt-age supplied depending on the position of the active elements.

Keywords:
Flutter vibrations, electromagnetic coupling, electromagnetic actuators, EM damper of motional type

2.Pisarski D., Bajer C.I., Dyniewicz B., Szmidt T., Distributed control of smart cantilever structure, ETAMM, Emerging Trends in Applied Mathematics and Mechanics, 2016-05-30/06-03, Perpignan (FR), pp.1, 2016
Pisarski D., Bajer C.I., Dyniewicz B., Szmidt T., Distributed control of smart cantilever structure, ETAMM, Emerging Trends in Applied Mathematics and Mechanics, 2016-05-30/06-03, Perpignan (FR), pp.1, 2016

Abstract:
The work presents a novel distributed vibration control method of twin cantilever beams system coupled by a set of magnetorheological elastomers. The control is realized by a change of magnetic field influencing elastomers’ mechanical properties. The objective is to stabilize the system with the optimal rates of decrease of the energy. The control is based on an easy for practical implementation distributed state-feedback structure. It employs a set of communication channels to exchange the state information between the neighboring controllers. The performance of the designed method is validated by means of the numerical experiments. In terms of the assumed metrics, the proposed distributed method significantly outperforms the passive case and is competitive to standard centralized control.

3.Szmidt T., Konowrocki R., Influence of Electromagnetic Actuators on Near-Critical Behaviour of a Pipe Conveying Fluid, XXIV Francusko-Polskie Seminarium Mechaniki, 2016-10-17/10-18, Warszawa (PL), pp.57, 2016
4.Szmidt T., Bajer C.I., Finite displacement dynamic model of twin beams with controllable damper, PCM-CMM 2015, 3rd Polish Congress of Mechanics and 21st Computer Methods in Mechanics, 2015-09-08/09-11, Gdańsk (PL), pp.813-814, 2015
Szmidt T., Bajer C.I., Finite displacement dynamic model of twin beams with controllable damper, PCM-CMM 2015, 3rd Polish Congress of Mechanics and 21st Computer Methods in Mechanics, 2015-09-08/09-11, Gdańsk (PL), pp.813-814, 2015

Abstract:
Lateral vibrations of two parallel cantilever beams joined at their free ends by a viscoelastic member are studied experimentally and theoretically. A dynamic model of the structure is proposed. It fits the experimental data well and allows to estimate the shear modulus and damping coefficient of the member. The model can be useful for the development of semi-active control strategies for double-beam systems with controllable damping members.

Keywords:
sandwich beam, double-beam system, shear deformation, magnetorheological elastomer, semi-active damping