SU1647325A1 - Method for determining energy dissipation characteristics under oscillations of a linear mechanical system - Google Patents
Method for determining energy dissipation characteristics under oscillations of a linear mechanical system Download PDFInfo
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- SU1647325A1 SU1647325A1 SU894675860A SU4675860A SU1647325A1 SU 1647325 A1 SU1647325 A1 SU 1647325A1 SU 894675860 A SU894675860 A SU 894675860A SU 4675860 A SU4675860 A SU 4675860A SU 1647325 A1 SU1647325 A1 SU 1647325A1
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- USSR - Soviet Union
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- oscillations
- mechanical system
- energy dissipation
- current values
- linear mechanical
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- Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
Abstract
Изобретение относитс к исследованию динамических характеристик линейных механических систем. Цель изобретени - повышение быстродействи за счет уменьшени числа измерений. Характеристику рассе ни энергии определ ют по величине показател степени в выражении дл амплитуды затухающих колебаний. Систему возбуждают гармоническим воздействием с частотой о. Во врем переходного процесса производ т измерение шести текущих значений колебаний через равные промежутки времени. Суммарное врем измерени текущих значений задают меньше полупериода гармонического воздействи . Показатель а и частоту (DO резонансных колебаний наход т по результатам измерени текущих значений .The invention relates to the study of the dynamic characteristics of linear mechanical systems. The purpose of the invention is to increase speed by reducing the number of measurements. The energy dissipation characteristic is determined by the magnitude of the exponent in the expression for the amplitude of the damped oscillations. The system is excited by harmonic action with a frequency of about. During the transient process, six current oscillation values are measured at regular intervals. The total measurement time of the current values is set to less than half the period of harmonic action. Indicator a and frequency (DO of resonant oscillations are found from the results of measuring current values.
Description
Изобретение относитс к исследованию динамических свойств линейных механических систем, конкретно к способам определени их динамических характеристик при колебани х.The invention relates to the study of the dynamic properties of linear mechanical systems, specifically to methods for determining their dynamic characteristics during vibrations.
Цель изобретени - повышение быстродействи определени характеристик рассе ни энергии за счет сокращени количества измерений.The purpose of the invention is to increase the speed of determining the energy dissipation characteristics by reducing the number of measurements.
Параметр рассе ни энергии определ ют на основании измерений значений переходного процесса.The energy dissipation parameter is determined based on measurements of the transient values.
Способ заключаетс в следующем.The method is as follows.
Возбуждают колебани механической системы путем приложени к ней гармонического воздействи с частотой со.The oscillations of the mechanical system are excited by applying a harmonic action to it with a frequency of co.
Во врем переходного процесса производ т измерение шести текущих значенийDuring the transition process, six current values are measured.
колебаний механической системы Xk, Xic-1, Xk-2, Xk-з, Xk-4, Xk-5через равные промежутки времени А.Суммарное врем измерений текущих значений 5 Д задают меньше полупериода гармонического воздействи .oscillations of the mechanical system Xk, Xic-1, Xk-2, Xk-3, Xk-4, Xk-5 through equal intervals of time A. The total measurement time of the current values of 5 D is set less than the half-period of the harmonic effect.
Параметр а затухани и резонансную частоту (Оо наход т по формуламAttenuation parameter a and resonant frequency (Oo is found by the formulas
1 . 1 . ,,1 Atone . one . ,, 1 At
« "
InIn
(Do(Do
arccosarccos
2Д Д 2D D
дл которых Ai и Яа определ ют в соответствии со следующими соотношени ми , Un Un -з - Un - 1 Un -гfor which Ai and Ya are determined according to the following ratios, Un Un -c - Un-1 Un -g
Я2 H2
Un-1 Un-3 - Un-2 Up Un-2 Un-1 Un-3 - Un-2 Up Un-2
Un-1 Un-3-Un-2 , Un-1 Un-3-Un-2,
Параметры Un, Un-i, Un-2, Un-3 в приведенных соотношени х наход т на основаОThe parameters Un, Un-i, Un-2, Un-3 in the above ratios are found on the basis of
1 VI1 vi
соwith
ND СПND SP
нии проведенных измерений, использу преобразованиеmeasurements taken using conversion
Un Xk - 2 Xk-1 cos со Д + Xk-2, где n k, k-1, k-2,k-3 и k 5.Un Xk - 2 Xk-1 cos with Д + Xk-2, where n k, k-1, k-2, k-3 and k 5.
Устройство, реализующее предлагав- мый способ, содержит датчик колебаний аналого-цифровой преобразователь, блоки задержки, блоки реализации соотношени Un Xk-2 Xk-1 cos юД + Xk-2, и блоки умножени , возведени в квадрат, вычита- ни и делени , реализующие вычисление AI, А2, а и а)о. The device implementing the proposed method contains an oscillation sensor analog-to-digital converter, delay blocks, blocks for implementing the ratio Un Xk-2 Xk-1 cos YT + Xk-2, and blocks multiplying, squaring, subtracting and dividing, implementing the calculation of AI, A2, a and a) o.
Claims (1)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| SU894675860A SU1647325A1 (en) | 1989-04-11 | 1989-04-11 | Method for determining energy dissipation characteristics under oscillations of a linear mechanical system |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| SU894675860A SU1647325A1 (en) | 1989-04-11 | 1989-04-11 | Method for determining energy dissipation characteristics under oscillations of a linear mechanical system |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| SU1647325A1 true SU1647325A1 (en) | 1991-05-07 |
Family
ID=21440395
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| SU894675860A SU1647325A1 (en) | 1989-04-11 | 1989-04-11 | Method for determining energy dissipation characteristics under oscillations of a linear mechanical system |
Country Status (1)
| Country | Link |
|---|---|
| SU (1) | SU1647325A1 (en) |
-
1989
- 1989-04-11 SU SU894675860A patent/SU1647325A1/en active
Non-Patent Citations (1)
| Title |
|---|
| Авторское свидетельство СССР № 1272136, кл. G 01 М 7/00, 1984. Авторское свидетельство СССР Мг 1415103, кл. G 01 М 7/00, 1986. * |
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