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Free vibrations of Kirchhoff plates considering plate variable thickness and interaction with water including water boundaries

Lenartowicz Agnieszka, Guminiak Michał, Przychodzki Maciej

Vibrations in Physical Systems

2021

Vol. 32, nr 2

art. no. 2021208

The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness and interaction with water are considered in the paper. The influence of the water free surface on natural frequencies of the coupled water-plate system is analysed too. The Finite Element Method (FEM) and the Finite Difference Method (FDM) are used to describe structural deformation and the Boundary Element Method (BEM) is applied to describe the dynamic interaction of water on a plate surface. The plate inertia forces are expressed by diagonal or consistent mass matrix. The water inertia forces are described by fully-populated mass matrix which is obtained directly from the theory of double layer potential.

Modelowanie numeryczne rozkładu naprężeń w połączeniach gwintowych turbin hydraulicznych

Bożydarnik W., Sulim G., Pasternak J.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

2008

z. 72 [251]

41-47

The present study concerns with the analysis and modeling of thread connections of hydroturbine units mountings. The boundary element method scheme for the numerical analysis of a problem is proposed. Various contact models of the screw and the flange are considered. Based on the presented numerical results using the least squares method the convenient engineering formulae for determination of the stress concentration in thread connections, which considers not only the root radius, but also sliding friction factor between contacting surfaces, is constructed.

Sound propagation problem solved by boundary elements method

Szweda J.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2006

z. 31

149-153

This article deals the numerical method to solution of sound propagation radiated by vibration of surfaces of machine complex. As the base of applied numerical solution is used the boundary elements method. The purpose of the work is to determine the rate of inaccuracy of numerical results obtained using the simple approach of BEM and also the estimation of its usability to finding the acoustical properties of machine parts. To fulfil the purpose the solution of acoustic problem was done using two approach of BEM. The average relative error of acoustic pressure level has value about 5%, , unique maximum value is 16 %.

On interactions of frictional cracks

Basista M.

Archives of Mechanics

2000

Vol. 52, nr 2

329-340

This paper deals with the estimation of the stress intensity factors for interacting Mode-II cracks undergoing frictional sliding under overall compressive stresses. Crack interaction effects are examined via the Kachanov method that is extended here to account for frictional and cohesive resistance on crack faces. The accuracy of the obtained results is verified through comparison with the "exact" numerical solutions obtained using a boundary element method.