Search results for: R. Maroński

Items from 1 to 14 out of 14 results

article

Steady and unsteady analysis of NACA 0018 airfoil in vertical-axis wind turbine

K. Rogowski, M. O. L. Hansen, R. Maroński

Journal of Theoretical and Applied Mechanics > 2018 > Vol. 56 nr 1 > 203--212

Numerical results are presented for aerodynamic unsteady and steady airfoil characteristics of the NACA 0018 airfoil of a two-dimensional vertical-axis wind turbine. A geometrical model of the Darrieus-type wind turbine and the rotor operating parameters used for numerical simulation are taken from the literature. Airfoil characteristics are investigated using the same mesh distribution around the...

article

Numerical Analysis of a Small-Size Vertical-Axis Wind Turbine Performance and Averaged Flow Parameters Around the Rotor

K. Rogowski, R. Maroński, J. Piechna

Archive of Mechanical Engineering > 2017 > Vol. LXIV, nr 2 > 205--218

Small-scale vertical-axis wind turbines can be used as a source of electricity in rural and urban environments. According to the authors’ knowledge, there are no validated simplified aerodynamic models of these wind turbines, therefore the use of more advanced techniques, such as for example the computational methods for fluid dynamics is justified. The paper contains performance analysis of the small-scale...

article

Optimal strategy in chemotherapy for Malthusian model of cancer growth

R. Maroński

Acta of Bioengineering and Biomechanics > 2017 > Vol. 19, no. 1 > 63--68

Purpose: The problem of optimal strategy in cancer chemotherapy is reconsidered. Two incompatible goals should be completed: the number of cancer cells in the patient’s body should be reduced and the toxic effect of the therapy should be minimized. Such problem may be formulated in optimal control. The control function is the amount of the drug administered in the time unit. Methods: The Malthusian...

article

CFD computation of the savonius rotor

K. Rogowski, R. Maroński

Journal of Theoretical and Applied Mechanics > 2015 > Vol. 53 nr 1 > 37--45

In this paper, Computational Fluid Dynamics (CFD) analysis of a two-dimensional two- -bucket Savonius rotor, using ANSYS Fluent solver, is presented. Computational methods of fluid dynamics are used to estimate the aerodynamic forces acting on the rotor, the torque and the power extracted by the Savonius rotor. In addition, an analysis of the results for different turbulence models is performed. Numerical...

article

Optimal velocity in the race over variable slope trace

R. Maroński, P. Samoraj

Acta of Bioengineering and Biomechanics > 2015 > Vol. 17, no. 2 > 149--153

The minimum-time running problem is reconsidered. The time of covering a given distance is minimized. The function that should be found is the runner’s velocity that varies with the distance. The Hill-Keller model of motion is employed. It is based on the Newton second law and an equation of power balance. The new element of the current approach is that the trace slope angle varies with the distance...

article

Quasi-periodic control technique for minimizing fuel consumption during record vehicle competition

P. Sulikowski, R. Maroński

Archive of Mechanical Engineering > 2013 > Vol. LX, nr 2 > 185--197

The problem of the optimal driving technique during the fuel economy competition is reconsidered. The vehicle is regarded as a particle moving on a trace with a variable slope angle. The fuel consumption is minimized as the vehicle covers the given distance in a given time. It is assumed that the run consists of two recurrent phases: acceleration with a full available engine power and coasting down...

article

Optimization of glider's trajectory for given thermal conditions

K. Rogowski, R. Maroński

Archive of Mechanical Engineering > 2011 > Vol. LVIII, nr 1 > 11-25

The minimum-time problem for a glider flying in the vertical plane is considered. The glider is regarded as a particle moving in the atmosphere in given thermal conditions. The problem is formulated in optimal control and solved using direct pseudospectral Chebysev's method. The data are taken for the Word Class Glider PW-5 "Smyk". Computed optimum results are compared with glider's trajectories...

article

Minimum-time running: a numerical approach

R. Maroński, K. Rogowski

Acta of Bioengineering and Biomechanics > 2011 > Vol. 13, no. 2 > 83-86

The article deals with the minimum-time running problem. The time of covering a given distance is minimized. The Hill-Keller model of running employed is based on Newton's second law and the equation of power balance. The problem is formulated in optimal control. The unknown function is the runner's velocity that varies with the distance. The problem is solved applying the direct Chebyshev's pseudospectral...

article

Driving techniques for minimizing fuel consumption during record vehicle competition

K. Rogowski, R. Maroński

Archive of Mechanical Engineering > 2009 > Vol. LVI, nr 1 > 27-35

The problem of optimal driving techniques during fuel economy competition is considered. The kinetic model of the record wheeled vehicle is proposed. It is regarded as a particle moving on a trace with variable slope angle. Engine characteristics are taken into account. The fuel consumption is minimized as the vehicle goes over a given distance. The problem is formulated in optimal control. The direct...

article

Optimal strategy in chemotherapy for a Gompertzian model of cancer growth

R. Maroński

Acta of Bioengineering and Biomechanics > 2008 > Vol. 10, nr 2 > 81-84

The problem of optimal cancer chemotherapy is reconsidered. For the assumed result of the therapy the cumulative negative toxic effect of the drug is minimized. The unknown function to be optimized is the time-dependent dose of the drug. The Gompertzian model of cell population growth is employed. The formulated problem of the calculus of variations is solved using the method of Miele (the method...

article

Optimal strategy in cancer chemotherapy for exponential model of cell population growth

R. Maroński

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska > 2006 > z. 26 > 231-234

The problem of optimal cancer chemotherapy is reconsidered. The cumulative negative toxic effect of the drug is minimized for the assumed destruction result at the end of the therapy. The control function to be optimized is time-dependent dose of the drug. A exponential model of growth of the cancer cell population is employed. It is known that for constant intrinsic rate the solution of the problem...

article

Commercial airplane trajectory optimization by a Chebyshev pseudospectral method.

P. Panasz, R. Maroński

Archive of Mechanical Engineering > 2005 > Vol. LII, nr 1 > 5-19

The paper presents application of direct pseudospectral Chebyshev method for solving a commercial airplane trajectory optimization problem. The method employs Nth-degree Lagrange polynominal approximations for the state and control variables with the values of these variables of the Chebyshev-Gauss-Lobatto (CGL) points as the expansion coefficients. This process is convented to a nonlinear programming...

article

Zastosowanie równania Eulera-Lagrange'a do minimalizacji pracy w lokomocji

R. Maroński

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska > 1999 > z. 9 > 179-184

Celem pracy jest pokazanie, że pewne wyniki dotyczące minimalizacji pracy potrzebnej do pokonania oporów ruchu mogą być otrzymane w prosty sposób z równania Eulera-Lagrange'a - warunku koniecznego ekstremum funkcjonału. Równanie to jest na ogół równaniem różniczkowym drugiego rzędu. W przypadku gdy funkcja podcałkowa minimalizowanego funkcjonału liniowo zależy od pochodnej, równanie to degeneruje...

article

Metody rachunku wariacyjnego w biomechanice

R. Maroński

Prace Naukowe Politechniki Warszawskiej. Mechanika > 1999 > z. 179 > 3-105

W pracy przedstawiono zagadnienia biomechaniki, do rozwiązania których wykorzystano metody rachunku wariacyjnego i teorii sterowania optymalnego. Przedstawiono dwa główne kierunki badań: identyfikacje sił uogólnionych w czasie wykonywania zadania ruchowego i optymalizację wyników sportowych. W monografii przedstawiono przede wszystkim wyniki autora na tle osiągnięć innych badaczy w następujących zagadnieniach:...

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