Wyniki wyszukiwania - Biblioteka Nauki

1

Relaksacja belek z płyt wiórowych – analiza wyników badań rozpoznawczych

100%

Socha T. , Kula K.

Quarterly of Environmental Engineering and Design

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2018

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tom Vol. 169 (49)

4--11

PL

W referacie przedstawiono wyniki badań eksperymentalnych oraz analizę teoretyczną zjawiska relaksacji belek z płyt wiórowych. Do matematycznego modelowania reologii badanego materiału wykorzystano trzy liniowo lepkosprężyste modele reologiczne. Analizując uzyskane wyniki stwierdzono, iż reologiczne zachowanie belki najlepiej opisuje model pięcioparametrowy, złożony z szeregowo połączonych modeli standardowego i Kelvina-Voigta.

EN

The paper concerns problems of rheology in wood-based beams made of chipboard “PowerBoard” produced by SWISS KRONO. Theoretical models of the behaviour of chipboard and results of exploratory experimental relaxation tests are presented. Material of this beam is described with equations for linear viscoelastic media (three-, four- and five-parameter rheological models).

2

Relaxation of chipboard beams – analysis of results of exploratory research

84%

Socha T. , Kula K. , Denisiewicz A.

Civil and Environmental Engineering Reports

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2018

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tom Vol. 28, no. 2

196--203

EN

The paper presents results of experimental tests and a theoretical analysis of the phenomenon of relaxation of chipboard beams. Three linearly viscoelastic rheological models were used for mathematical modeling of the rheology of the studied material. The constants of models were determined using experimental tests and the method of least squares. Through analyses of the obtained results it was found that the rheological behavior of the beam in the specified time is best described by a five-parameter model, consisting of standard and Kelvin-Voigt models connected in series. The final verification of the model can only be ensured by conducting long-term experimental studies using a multistage load program.

PL

W referacie przedstawiono wyniki badań eksperymentalnych oraz analizę teoretyczną zjawiska relaksacji belek z płyt wiórowych. Do matematycznego modelowania reologii badanego materiału wykorzystano trzy liniowo lepkosprężyste modele reologiczne. Stałe modeli wyznaczono wykorzystując przeprowadzone badania doświadczalne oraz metodę najmniejszych kwadratów. Analizując uzyskane wyniki stwierdzono, iż reologiczne zachowanie belki w rozpatrywanym czasie najlepiej opisuje model pięcioparametrowy, złożony z szeregowo połączonych modeli standardowego i Kelvina-Voigta. Ostateczną weryfikację modelu zapewnić może jedynie przeprowadzenie długotrwałych badań eksperymentalnych z wykorzystaniem wielostopniowego programu obciążeń.

3

Dynamic displacement tracking in viscoelastic solids by actuation stresses: a one-dimensional analytic example involving shock waves

67%

Irschik H. , Krommer M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2023

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tom Vol. 71, nr 3

art. no. e144616

EN

A one-dimensional (1D) analytic example for dynamic displacement tracking in linear viscoelastic solids is presented. Displacement tracking is achieved by actuation stresses that are produced by eigenstrains. Our 1D example deals with a viscoelastic half-space under the action of a suddenly applied tensile surface traction. The surface traction induces a uni-axial shock wave that travels into the half-space. Our tracking goal is to add to the applied surface traction a transient spatial distribution of actuation stresses such that the total displacement of the viscoelastic half-space coincides with the shock wave produced by the surface traction in a purely elastic half-space. We particularly consider a half-space made of a viscoelastic Maxwell-type material. Analytic solutions to this tracking problem are derived by means of the symbolic computer code MAPLE. The 1D solution presented below exemplifies a formal 3D solution derived earlier by the present authors for linear viscoelastic solids that are described by Boltzmann hereditary laws. In the latter formal solution, no reference was made to shock waves. Our present solution demonstrates its validity also in the presence of singular wave fronts. Moreover, in our example, we show that, as was also indicated in our earlier work, the actuation stress can be split into two parts, one of them producing no stresses, and the other no displacements in two properly enlarged problems.

4

Fractional white noise perturbations of parabolic Volterra equations

67%

Sperlich S. , Wilke M.

Journal of Applied Analysis

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2010

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tom Vol. 16, nr 1

31-48

EN

Aim of this work is to extend the results of Clément, Da Prato and Prüss [5] on the fractional white noise perturbation with Hurst parameter H ∈ (0,1). We will obtain similar results and it will turn out that the regularity of the solution u(t) increases with Hurst parameter H.