# Pawel FritzkowskiPoznan University of Technology · Institute of Applied Mechanics

Pawel Fritzkowski

Ph.D. Eng.

## About

30

Publications

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157

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Introduction

Academic teacher (teaching & research) at the Institute of Applied Mechanics, Faculty of Mechanical Engineering, Poznan University of Technology. General areas of interest: modelling and computer simulations in mechanics; computational methods, algorithms and programming; applications of CAD/CAE software and scientific computing systems.
Current topics: vibro-impact systems, multiple time scales method

Additional affiliations

October 2016 - present

October 2013 - September 2016

October 2009 - September 2013

Education

October 2004 - June 2009

## Publications

Publications (30)

A mechanical system composed of two weakly coupled oscillators under harmonic excitation is considered. Its main part is a vibro-impact unit composed of a linear oscillator with an internally colliding small block. This block is coupled with the secondary part being a damped linear oscillator. The mathematical model of the system has been presented...

A mechanical system composed of two weakly coupled oscillators under harmonic excitation is considered. Its main part is a vibro-impact unit composed of a linear oscillator with an internally colliding small block. This block is coupled with the secondary part being a damped linear oscillator. The mathematical model of the system has been presented...

In this work, planar free vibrations of a single physical pendulum are investigated both experimentally and numerically. The laboratory experiments are performed with pendula of different lengths, for a wide range of initial configurations, beyond the small angle regime. In order to approximate the air resistance, three models of damping are consid...

A mechanical system composed of two weakly coupled vibro-impact modules under harmonic excitation is considered. The mathematical model of the system is presented in a non-dimensional form. The analytical approach based on the combination of the multiple scales method and the saw-tooth function is employed. The periodic responses of the system with...

The problem of an infinite elastic layer under a periodic load is considered. A mathematical model is formulated for the plane strain state. An analytical procedure based on the Fourier integral transformation is discussed. The displacement components are obtained as infinite sums directly via the inverse Fourier transform. Semianalytical results a...

Apart from the strength requirements, modern lighting pole designs have to meet a number of safety requirements in the event of collisions. The paper compares the experimental tests performed at the collision test track according to EN 12767 with the results of the numerical analysis carried out in Ansys LS-DYNA. The objective of the work is to pre...

The objective of this study is to analyze subretinal liquid dynamics by means of numerical simulations in patients with retinal detachment after insertion of intussusception. The main parameter being analyzed is the outflow velocity of subretinal fluid through the hole in the retina. All calculations were performed using FEM and the results were ev...

An inertially-driven system that slides on a rough horizontal plane due to periodic oscillations of two internal bodies is studied. Three-phase internal motions with piecewise-constant relative accelerations are considered. It is shown that an always forward motion of the robot can be achieved. The effect of the model parameters on the displacement...

A computational model for the kinematics of a vertical axis wind turbine (VAWT) is presented. A H-type rotor turbine with a controlled pitch angle is considered. The aim of this solution is to improve the VAWT productivity. The discussed method is related to a narrow computational branch based on the Blade Element Momentum theory (BEM theory). The...

A 1D chain of coupled oscillators is considered, including the Duffing-type nonlinearity, viscous damping, and kinematic harmonic excitation. The equations of motion are presented in a non-dimensional form. The approximate equations for the vibrational amplitudes and phases are derived by means of the classical averaging method. A simple analysis o...

The paper is devoted to transverse in-plane vibrations of a beam which is a part of a symmetrical triangular frame. A mathematical model based on the Hamilton principle, formulated for large deflections of the beam subjected to dynamic axial excitation, is presented. An approximate nonlinear ordinary differential equation for the vibration amplitud...

A computer program for topological optimization of a rotor for vertical axis wind turbines of various type is presented. The tool is based mainly on two external modules: the GMSH mesh generator and the OpenFOAM CFD toolbox. Interpolation of rotor blades geometry and computational model of the airflow through a turbine are briefly discussed. Moreov...

The problem of a quarter-space under distributed normal and shear loads is considered. A mathematical model is formulated for the plane strain state. Theoretical background of the Mellin integral transform and calculation of residues is outlined. An analytical procedure involving the Mellin transform is presented for the general reduced problem of...

Application of the MEBDFV code in multibody dynamics is discussed. The solver is based on the modified extended backward differentiation formulae of Cash. It is especially suited for the solution of differential-algebraic equations with time- and state-dependent mass matrix. Such a case can occur when motion of a multibody open-chain system is desc...

The subject of this study is permeability of porous media in the form of an unidirectional bundle of fibers. In the case of a low volume fraction of fibers (high porosity) one can observe significant divergences between experimental and theoretical results for porous medium permeability. The experimental results give larger values of the permeabili...

A problem of steady-state incompressible fluid flow through a fibrous cylindrical filter is considered. The pressure field is obtained by applying the method of fundamental solutions which gives continuous function in the filter region. The components of filtration velocity are calculated from the appropriate derivatives. In numerical examples, var...

Two-dimensional motion of a hanging rope is considered. A multibody system with elastic-dissipative joints is used for modelling of the rope. The mathematical model based on the Lagrange formalism is presented. Results of some numerical simulations are shown for the mechanical system with kinematic excitation. Basic tools are used to qualify dynami...

Two-dimensional motion of a rope fixed at one end is considered. The Rigid Finite Element Method (RFEM) is reviewed and applied to obtain a model of the rope, including its elastic and dissipative properties. Equations of motion are derived without the small displacement assumption, using the Lagrange equations. The resulting model is compared to a...

Plane motion of a rope is considered. Two approaches to rope modelling are presented: the one based on classical concepts of analytical mechanics and the rigid finite element method. In both cases equations of motion are derived within the framework of the Lagrangian formalism, without the small displacement assumption. In a numerical experiment pa...

A discrete model of a rope is developed and used to simulate the plane motion of the rope fixed at one end. Actually, two
systems are presented, whose members are rigid but non-ideal joints involve elasticity or dissipation. The dissipation is
reflected simply by viscous damping model, whereas the bending stiffness conception is based on the classi...

A discrete model of a rope with spiral springs in joints is considered, the aim being to include transverse elasticity of
the rope. Elastic characteristic of the springs is derived on the basis of simple geometrical formulas and the classical curvature-bending
moment relationship for beams. Lagrange’s equations of motion are presented and their com...

A discrete model of a rope with extensible members, involving a simple spring-mass conception, is considered. Lagrange’s equations
of motion are presented and their complexity is discussed from the computational point of view. Numerical experiments are
performed for a system with both scleronomic and rheonomic constraints. Simulated behaviour of th...

A preliminary discrete model of a rope is considered both as a scleronomic and a rheonomic system. Numerical experiments are performed and advantages of the applied algorithm are discussed on the basis of energy conservation. The problem of discretization of the rope is presented in terms of efficient computational simulations. A wave-like effect i...

Motion of a hanging rope is considered and a discrete model of the body is discussed. The system consists of identical members which are connected by rotational joints. Various character of both the elements and joints is considered, and equations of motion are presented. Consequently, there are several options: an extensible or non-extensible mode...

Plane motion of a rope fixed at one end is considered. The body is modelled as a discrete system including transverse elasticity and dissipation. Mathematical model is presented and some numerical aspects are outlined. In simulations of dynamics vibrations of the system are excited by non-stationary constraints. It is shown that appropriate model p...