O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych

An analysis of forced harmonic steady-state vibration is presented with zero initial conditions (the total mechanical energy equal to zero at; the initial moment for semi-infinite elastic beams with single point of action of the external force and for longitudinal and torsional vibration). The chara...

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Main Author: J. Więckowski
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1959-12-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/2962
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author J. Więckowski
author_facet J. Więckowski
author_sort J. Więckowski
collection DOAJ
description An analysis of forced harmonic steady-state vibration is presented with zero initial conditions (the total mechanical energy equal to zero at; the initial moment for semi-infinite elastic beams with single point of action of the external force and for longitudinal and torsional vibration). The characteristics of the reaction forces are determined for various locations of the external force or moment. These characteristics reduce to three coefficients: the coefficient of proportionality of forces proportional to the displacement, the coefficient of proportionality of forces proportional to the velocity, the coefficient of proportionality of forces proportional to the acceleration. It is shown that the resonance properties of semi-infinite beams are entirely different from those of finite beams. The phenomenon of dynamic obstacle is described, consisting in that the mechanical energy does not pass across the point where the external force acts for certain frequencies of forced vibration which constitute an infinite sequence. The topics of papers to come are discussed.
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issn 0867-888X
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publishDate 1959-12-01
publisher Institute of Fundamental Technological Research
record_format Article
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spelling doaj-art-30d954b2e4c94f93b95c2685c2e896b42025-07-11T05:03:35ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711959-12-0174O Zjawisku Rezonansu dla Półograniczonych Belek SprężystychJ. WięckowskiAn analysis of forced harmonic steady-state vibration is presented with zero initial conditions (the total mechanical energy equal to zero at; the initial moment for semi-infinite elastic beams with single point of action of the external force and for longitudinal and torsional vibration). The characteristics of the reaction forces are determined for various locations of the external force or moment. These characteristics reduce to three coefficients: the coefficient of proportionality of forces proportional to the displacement, the coefficient of proportionality of forces proportional to the velocity, the coefficient of proportionality of forces proportional to the acceleration. It is shown that the resonance properties of semi-infinite beams are entirely different from those of finite beams. The phenomenon of dynamic obstacle is described, consisting in that the mechanical energy does not pass across the point where the external force acts for certain frequencies of forced vibration which constitute an infinite sequence. The topics of papers to come are discussed. https://et.ippt.pan.pl/index.php/et/article/view/2962
spellingShingle J. Więckowski
O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych
Engineering Transactions
title O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych
title_full O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych
title_fullStr O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych
title_full_unstemmed O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych
title_short O Zjawisku Rezonansu dla Półograniczonych Belek Sprężystych
title_sort o zjawisku rezonansu dla polograniczonych belek sprezystych
url https://et.ippt.pan.pl/index.php/et/article/view/2962
work_keys_str_mv AT jwieckowski ozjawiskurezonansudlapołograniczonychbeleksprezystych