PL112319B2 - Method for measurement of elasticity constants - Google Patents

Method for measurement of elasticity constants Download PDF

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Publication number
PL112319B2
PL112319B2 PL20126277A PL20126277A PL112319B2 PL 112319 B2 PL112319 B2 PL 112319B2 PL 20126277 A PL20126277 A PL 20126277A PL 20126277 A PL20126277 A PL 20126277A PL 112319 B2 PL112319 B2 PL 112319B2
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PL
Poland
Prior art keywords
resonance
constant
vibrations
sample
frequencies
Prior art date
Application number
PL20126277A
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Polish (pl)
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PL201262A1 (en
Inventor
Jan Ryllnardzewski
Andrzej Kulik
Original Assignee
Polska Akademia Nauk Instytut
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
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Application filed by Polska Akademia Nauk Instytut filed Critical Polska Akademia Nauk Instytut
Priority to PL20126277A priority Critical patent/PL112319B2/en
Publication of PL201262A1 publication Critical patent/PL201262A1/en
Publication of PL112319B2 publication Critical patent/PL112319B2/en

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Description

Przedmiotem wynalazku jest sposób pomiaru stalych sprezystosci metoda rezonansu akustycznego.Znany jest z opisu patentowego PRL nr 62032 sposób pomiaru stalych sprezystosci wedlug którego badana próbka podparta w czterech punktach lezacych na liniach wezlowych powierzchni drgajacej pobudzanajest do drgan wlasnych pierwszego i drugiego rzedu a wiel¬ kosc stalych sprezystosci okresla sie oznaczeniem sto¬ sunku czestotliwosci drugiego rezonansu drgan wlasnych do czestotliwosci pierwszego rezonansu tych drgan.Istota sposobu wedlug wynalazku polega na tym, ze badana próbke w postaci plyty kolowej podpartej w trzech wezlach drgan pobudza sie bezstykowa metoda pojemnosciowa do drgan wlasnych drugiego i trzeciego rzedu i drgania te odbiera sie za pomoca bezstykowego przetwornika odbiorczego. Wielkosc stalych sprezystosci okresla sie bezposredniooznaczeniem stosunku czestotli¬ wosci drugiego rezonansu drgan wlasnych do czestotli¬ wosci trzeciego rezonansu tych drgan.Sposób wedlug wynalazku zapewnia stabilne poloze¬ nie próbki nawet w przypadku jej deformacji wywolanej duzymi zmianami temperatury.Sposób pomiaru stalych sprezystosci zostanie blizej objasniony w oparciu o rysunek przedstawiajacy na fig. 1 obraz linii wezlowych drugiego rezonansu na badanej próbce kolistej, na fig. 2 — obraz linii wezlowych trze¬ ciego rezonansu tej samej próbki, a fig. 3 — rozmieszcze¬ nie punktów podparcia plytki.Badana próbka kolista podpartajest przez stalowe igly w trzech punktach W lezacych na liniach wezlowych powierzchni drgajacej próbki. W próbce tej wzbudza sie rezonans fal gietnych drugiego rzedu fi tj. taki wktórym linie wezlowe maja postac okregu po czym w próbce wzbudzany jest rezonans fal gietnych trzeciego rzedu f 3tj. taki w którym linie wezlowe maja postac trzech przecina¬ jacych sie srednic.Punkty zamocowania próbki W znajduja sie na prze¬ cieciu linii wezlowych rezonansów f2i d. Nastepnie mierzy sie czestotliwosc drgan przy którym nastepuje rezonans U i f3 i stosunek czestotliwosci drgan drugiego rezonansudo czestotliwosci drgan trzeciego rezonansujest funkcja sta¬ lej Poissona. Znajac wymiary geometryczne badanej próbki oraz gestosc badanego materialu po zmierzeniu stalej Poissona wyznacza sie modul sprezystosci E.Zastrzezenie patentowe Sposób pomiaru stalych sprezystosci materialów pole¬ gajacy napobudzaniu próbki do drgan wlasnych i wyzna¬ czaniu stalych sprezystosci na podstawie czestotliwosci rezonansowych, znamienny tym, ze badana próbke zamo¬ cowana w trzech punktach (W) znajdujacych sie na liniach wezlowych rezonansów (f2 i f3 pobudza sie do gietnych drgan rezonansowych drugiego rzedu (f2 i trze¬ ciego rzedu (f 3) i mierzy sie czestotliwosci tych drgan przy czym stale sprezystosci okreslasie oznaczeniem stosunku tych czestotliwosci.\\2 M9 Fig4 Bg.2 Fig.5 Prac. Poligraf. UP PRL. Naklad 120 egz.Cena 45 zl PLThe subject of the invention is a method of measuring constant resonance using the acoustic resonance method. It is known from the patent description of the Polish People's Republic No. 62032 a method of measuring constant resistances, according to which the tested sample supported at four points lying on the knot lines of the vibrating surface is stimulated to the own vibrations of the first and second order and the magnitude of the constant bones the resonance is determined by the ratio of the frequency of the second resonance of natural vibrations to the frequency of the first resonance of these vibrations. The essence of the method according to the invention consists in the fact that the tested sample in the form of a circular plate supported in three vibration nodes stimulates the contactless capacitive method to vibration of the second natural row and these vibrations are perceived by a contactless pickup transducer. The magnitude of the constant resonance is directly determined by the ratio of the frequency of the second resonance to the frequency of the third resonance of these vibrations. The method according to the invention ensures a stable position of the sample even in the case of its deformation caused by large changes in temperature. The method of measuring constant resonance will be closer to the frequency of the third resonance of these vibrations. Fig. 1 shows the image of the second resonance node lines on the test circular sample, in Fig. 2 the image of the third resonance node lines of the same sample, and Fig. 3 the arrangement of the plate support points. The test circular sample is supported by through steel needles at three points W lying on the knot lines of the vibrating surface of the sample. In this sample, the resonance of bending waves of the second order fi is induced, i.e. one in which the knot lines have the form of a circle, and then in the sample the resonance of bending waves of the third order f3tj is induced. one in which the node lines have the form of three intersecting diameters. The fixing points of the sample W are located at the intersection of the node lines of the resonances f2 and d. Then the vibration frequency is measured with the resonance U and f3 and the vibration frequency ratio of the second resonance to the vibration frequency the third resonance is the Poisson constant function. Knowing the geometrical dimensions of the test sample and the density of the tested material, after measuring the Poisson constant, the modulus of elasticity E is determined. Patent disclaimer The method of measuring the constant elasticity of materials consisting in stimulating the sample to its own vibration and determining the constant elasticity on the basis of resonance frequencies, characterized by the fact that the tested the sample is attached to three points (W) located on the nodal lines of the resonances (f2 and f3 stimulate high resonance vibrations of the second order (f2 and third order (f 3) and the frequency of these vibrations is measured, with the elasticity constant being determined by designation of the ratio of these frequencies. \\ 2 M9 Fig4 Bg.2 Fig. 5 Printed work of the Polish People's Republic of Poland. Circulation 120 copies Price PLN 45 PL

Claims (2)

1. Zastrzezenie patentowe Sposób pomiaru stalych sprezystosci materialów pole¬ gajacy napobudzaniu próbki do drgan wlasnych i wyzna¬ czaniu stalych sprezystosci na podstawie czestotliwosci rezonansowych, znamienny tym, ze badana próbke zamo¬ cowana w trzech punktach (W) znajdujacych sie na liniach wezlowych rezonansów (f2 i f3 pobudza sie do gietnych drgan rezonansowych drugiego rzedu (f2 i trze¬ ciego rzedu (f 3) i mierzy sie czestotliwosci tych drgan przy czym stale sprezystosci okreslasie oznaczeniem stosunku tych czestotliwosci.\\2 M9 Fig4 Bg.1. Patent claim A method of measuring the constant elasticity of materials consisting in stimulating the sample to its own vibrations and determining the constant elasticities on the basis of resonance frequencies, characterized by the fact that the tested sample is mounted at three points (W) located on the knot lines of resonances ( f2 and f3 are excited to high resonance vibrations of the second order (f2 and third order (f 3) and the frequencies of these vibrations are measured, the constant of the resilience is determined by the ratio of these frequencies. \\ 2 M9 Fig4 Bg. 2. Fig.5 Prac. Poligraf. UP PRL. Naklad 120 egz. Cena 45 zl PL2. Fig.5 Work. Typographer. UP PRL. Mintage 120 copies Price PLN 45 PL
PL20126277A 1977-10-03 1977-10-03 Method for measurement of elasticity constants PL112319B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
PL20126277A PL112319B2 (en) 1977-10-03 1977-10-03 Method for measurement of elasticity constants

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PL20126277A PL112319B2 (en) 1977-10-03 1977-10-03 Method for measurement of elasticity constants

Publications (2)

Publication Number Publication Date
PL201262A1 PL201262A1 (en) 1978-08-14
PL112319B2 true PL112319B2 (en) 1980-10-31

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Publication number Priority date Publication date Assignee Title
PL221046B1 (en) 2009-06-03 2016-02-29 Janusz Moszczański Method and device for obtaining composites from thermoplastics waste
EP3842482A1 (en) 2019-12-23 2021-06-30 Maciej Adam Dechnik Ecological composite made of recycled thermoplastic materials and method used in its production

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