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Optimisation of the parameters of a vibration damper installed on a historic bridge

Podwórna Monika, Grosel Jacek

Architecture Civil Engineering Environment

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2023

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Vol. 16, no. 4

93--101

EN

The paper presents theoretical analyses of renovating a historical bridge in order to decrease stresses. The installation of additional equipment, including a vibration absorber, is relatively easy to perform if such a need is indicated by the current bridge diagnostics or the monitoring of the structure’s vibrations. Moreover, absorbers could be mounted in such a way as not to alter the appearance of the historic structure. The authors focused on the problem of optimising the cooperation between a dynamic vibration absorber (DVA) and a structure under dynamic load moving with constant velocity. A simple degree of freedom (SDOF) system – as a model of the absorber and a multi-degree of freedom (MDOF) system – as the primary structure, were adopted in the calculations. Every force is regarded as a random variable, as well as interarrivals of moving forces. Two different situations and solutions were presented. The first case is when the stream of moving forces with a constant velocity is modelled as the filtered Poisson process. The second one when one of the forces is located in the point of the beam in which the response of the beam has the maximum value.

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Tłumienie drgań konstrukcji poddanej obciążeniu dynamicznemu

Podwórna Monika, Grosel Jacek

Materiały Budowlane

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2022

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nr 11

112--115

PL

W artykule opisano analizę belki obciążonej dynamicznie jako modelu zabytkowej konstrukcji mostowej, w której zastosowano tłumik drgań zmniejszający wytężenie konstrukcji przez redukcję drgań belki mostowej, które są wywołane działaniem stochastycznego strumienia sił poruszających się ze stałą prędkością. Wartość każdej z sił oraz czas między ich działaniem są traktowane jako zmienne losowe. Rozważono kilka kryteriów optymalizacji ugięcia belki mostowej z zamontowanym absorberem o różnych parametrach.

EN

This paper describes an example of a historic bridge structure in which a vibration damper is used to reduce the strain on the structure by reducing the vibrations of the bridge beam, which are caused by the action of a stochastic stream of forces moving at a constant speed, where each force and the times between arrival of the forces are treated as random variables. Several optimisation criteria were considered, based on measures of the variability of the random deflection of a bridge beam with an absorber installed with different parameters.

3

Optimisation of absorber parameters in the case of stochastic vibrations in a bridge with a deck platform for servicing pipelines

Grosel Jacek, Podwórna Monika

Studia Geotechnica et Mechanica

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2021

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Vol. 43, nr s1

492--500

EN

The paper focuses on the problem of optimising the cooperation between a dynamic vibration absorber (DVA) and a structure. The authors analyse a road beam bridge equipped with a working platform (deck) used to service pipelines installed on the structure. The paper studies the problem of choosing the optimal parameters for damping absorbers that reduce the random vibration of a beam subjected to a random sequence of moving forces with a constant velocity. The stochastic properties of the load are modelled by means of a filtering Poisson process. A single-degree-of-freedom (SDOF) absorber model with a multi-degree-of-freedom (MDOF) primary structure model are is considered.

4

Analysis of the structure of liners used for the modernisation of brick collectors

Wysocki Leszek, Madryas Cezary, Grosel Jacek

Studia Geotechnica et Mechanica

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2021

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Vol. 43, nr s1

501--509

EN

Brick sewers were designed as egg-shaped, pear-shaped, bell-shaped, vaulted, and even rectangular (sometimes with granite ceilings and floor slabs). In exceptional cases, circular sections were also made of brick. Efforts were made in order to ensure optimal flow conditions, and also that the cross-section was adapted to the shape of the rock mass pressure line. This is due to the fact that the most advantageous shapes for masonry collectors are shapes in which no tensile stresses will occur in any part of the cross-section under the influence of external loads. Nevertheless, sewage conduits degrade over time. The boundary conditions of their use also change, which affects the magnitude of mechanical and hydraulic loads. Further use of a sewer in such a case requires its renewal, and less frequently, modernization that results from the necessity to change its function. This is usually done by introducing a new conduit into the interior of the renovated or modernized sewer, which in literature is called a liner. The aim of the analysis was to determine the thickness of the liners that strengthen the structures of brick channels with an inverted egg cross-section and with dimensions of 1050 × 700 mm, which are intended for gravitational sewage systems. The analysis included the performance of variant static and strength calculations for the assumption that the conduit after its modernization will be replaced with a conduit operating in the pressure system, which is a very rare requirement. It was assumed that the best solution would be to use a CIPP (Cured In Place Pipe) liner.