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WO2018032395A1 - Procédé de calcul de quatre profils d'ordres de résonance d'un objet - Google Patents

Procédé de calcul de quatre profils d'ordres de résonance d'un objet Download PDF

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Publication number
WO2018032395A1
WO2018032395A1 PCT/CN2016/095642 CN2016095642W WO2018032395A1 WO 2018032395 A1 WO2018032395 A1 WO 2018032395A1 CN 2016095642 W CN2016095642 W CN 2016095642W WO 2018032395 A1 WO2018032395 A1 WO 2018032395A1
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WIPO (PCT)
Prior art keywords
resonance
orders
order
calculation method
frequency
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Ceased
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PCT/CN2016/095642
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English (en)
Inventor
Yonggang Zhang
Jianxue ZHANG
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Individual
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Priority to CN201680087954.8A priority Critical patent/CN109906371A/zh
Priority to PCT/CN2016/095642 priority patent/WO2018032395A1/fr
Publication of WO2018032395A1 publication Critical patent/WO2018032395A1/fr
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
    • G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
    • G01N21/25—Colour; Spectral properties, i.e. comparison of effect of material on the light at two or more different wavelengths or wavelength bands

Definitions

  • the invention is related to the models of resonance orders of nature objects calculation methods.
  • the methods of the invention will be widely used that vibration modal and engineering mechanics.
  • natural frequency of the object structure is approximate symmetrical normal distribution ladder spectral shape of the cavity structure model, where other some resonance orders distribute on both sides of a certain range round the center of specific value of natural frequency of the object. It has three the ladder of resonance orders on each side of the objects, plus the center frequency resonance order, a total of resonance orders has seven orders for people feeling both light and sound.
  • a quarter wavelength effect is that wave resonance is maximum value when the incident wavelength is compressed to a quarter wavelength of refractive wave through the interface, where the wave energy would be total reflection.
  • the invention reveals the phenomenon of both seven colors by the human eye to feel the sun's rays and the human ears hear sound of seven scales. It is found that seven resonance orders of the frequency is the middle order of frequencies as the center where other some orders are in both sides of the quasi-symmetrical distribution regularly. So the invention put forward the models that the resonant cavity of the object has four patterns of the structure of resonant orders.
  • the method calculation results have good agreement with the measured values.
  • Fig. 1 First resonance order of the objects schematic diagram
  • FIG. 2 Three resonance orders of the objects schematic diagram
  • FIG. 3 Five resonance orders of the objects schematic diagram
  • FIG. 4 Seven resonance orders of the objects schematic diagram
  • Fig. 6 Drawn by Brian Smits type reflection contribution figure of three chromatography of red, green and blue;
  • FIG. 7 Seven resonance orders of the objects schematic diagram.
  • the present invention provides a resonance order calculation method
  • the coefficients of resonance orders can be designed to:
  • L i is any resonance order frequency corresponding to the wavelength
  • L c is the inherent center order frequency corresponding to the wavelength.
  • the endpoint of wavelengths longer for the center frequency If there are two endpoints of the center frequency it is selected the endpoint of wavelengths longer for the center frequency.
  • the time having two endpoints wavelength need to calculate that one endpoint is shortwave endpoint of the center frequency with other endpoint is the third ring of the resonance order wavelength with where
  • Calculation method in the invention has been emphasized center frequency calculation starting point that must be longer wavelength side as the center wavelength.
  • the three coefficients of the resonant orders longer than the center order wavelength are respectively corresponding coefficients of the three resonance orders coefficients shorter than the center wavelengths are corresponding coefficient of if the four resonance orders coefficients (including the other endpoint of the center frequency) respectively are corresponding coefficients of
  • resonance coefficients have a distinct regularity, the coefficients of are reciprocal of odd integer number.
  • any object has its inherent frequency, it can be seen from the above calculation that the resonance orders of the objects can be presented a first order model, the third orders model, also five orders model, only seven orders model, but nine orders is unlikely, because the coefficients of both and are near the convergence, so it can't divide again.
  • the resonance orders of the objects can only be odd number and is not even number, mainly because resonance order is bilateral quasi-symmetry distribution round center frequency.
  • resonance boundary of the objects is the value of a third wavelength of center natural frequency of the objects. It cannot be changed for the value of the resonance frequency boundary.
  • the absolute value of the difference between foreign incident wavelength and center natural frequency wavelength of the objects is less than a third, the resonance of the object will be occurs by the incident wave to response. This is a third wavelength effect of beginning resonance two boundary orders of the object.
  • FIG 4 It is schematic diagram of first resonance order of the objects in figure 1, and of three resonance orders of the objects in figure 2, and of five resonance orders of the objects in figure 3, and of seven resonance orders of the objects in figure 4.
  • the resonance model of quasi-symmetry at center frequency the calculation results show that the four orders of two outer circle is completely symmetrical, but two orders of the third circle in near the center frequency is asymmetric.
  • the error of both the results of the method calculation and the actual measurement value is little in the third circle in near the center frequency where the calculation results illustration is asymmetric or quasi-symmetric around center frequency.
  • resonance orders of the inner ring of the objects near the center frequency are asymmetric or quasi-symmetric.
  • first resonance order of the objects in figure 1 and of three resonance orders of the objects in figure 2 are asymmetric or quasi-symmetric.
  • red light band width is 115 nm
  • red, green and blue are respectively corresponding to the three different energy orders.
  • the red is corresponds to the outer ring resonance weakest energy order of both purple and red
  • for its resonant coefficient is Green is corresponds to the strongest resonance energy orders where the circle of three color orders of yellow green and chongkwang light are representative only the center frequency, its resonant coefficients are Blue is corresponds to second ring of two symmetrical resonance orders of both blue and orange, this orders its resonant coefficient is The red and blue, respectively the wavelength of the longer and shorter each side of the center frequency of green.
  • the center frequency wavelength selected green long wave endpoint and the endpoint is yellow light short wavelength one endpoint, so sometime three colors of red, yellow, blue is also useful for colors matching principle of the three primary colors. So the three colors can represent three different resonance orders, so you can apply this three color combination for color matching.
  • Both (2) and (6) scales are corresponding wavelength as follows:

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  • Physics & Mathematics (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)
  • Auxiliary Devices For Music (AREA)

Abstract

L'invention concerne un procédé de calcul de quatre profils d'ordres de résonance d'un objet. Le procédé peut calculer la caractéristique de répartition d'ordres de résonance de structure échelonnée d'une forme quasi-symétrique de l'objet autour d'une fréquence naturelle centrale générée par résonance forcée de l'extérieur. Le procédé est adéquat pour calculer le profil de fréquence de distribution du premier profil d'ordre (1) de résonance, du troisième profil d'ordre (2) de résonance, du cinquième profil d'ordre (3) de résonance ou du septième profil d'ordre (4) de résonance lorsque la résonance de l'objet apparaît. Lorsque la résonance de l'objet apparaît alors qu'une fréquence d'onde incidente est proche de la fréquence naturelle de l'objet, il est possible de calculer avec précision deux valeurs (5) de limites d'ordres de spectre de fréquences naturelles de l'objet des deux côtés.
PCT/CN2016/095642 2016-08-17 2016-08-17 Procédé de calcul de quatre profils d'ordres de résonance d'un objet Ceased WO2018032395A1 (fr)

Priority Applications (2)

Application Number Priority Date Filing Date Title
CN201680087954.8A CN109906371A (zh) 2016-08-17 2016-08-17 物体四种固有频率共振阶的计算方法
PCT/CN2016/095642 WO2018032395A1 (fr) 2016-08-17 2016-08-17 Procédé de calcul de quatre profils d'ordres de résonance d'un objet

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PCT/CN2016/095642 WO2018032395A1 (fr) 2016-08-17 2016-08-17 Procédé de calcul de quatre profils d'ordres de résonance d'un objet

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WO2018032395A1 true WO2018032395A1 (fr) 2018-02-22

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN119513453A (zh) * 2024-11-20 2025-02-25 西南交通大学 一种u形截面渡槽槽内水体横向自振频率的计算方法

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100312495A1 (en) * 2007-11-27 2010-12-09 Haviland David B Intermodulation scanning force spectroscopy
CN104317775A (zh) * 2014-10-15 2015-01-28 泉州师范学院 一种基于迭代并矢格林函数的谐振腔模式分析算法
CN104915499A (zh) * 2015-06-10 2015-09-16 电子科技大学 一种预测开孔腔体谐振点频率的快速算法
CN105551919A (zh) * 2015-12-29 2016-05-04 中国科学院电子学研究所 速调管谐振腔特性参数的确定方法

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100312495A1 (en) * 2007-11-27 2010-12-09 Haviland David B Intermodulation scanning force spectroscopy
CN104317775A (zh) * 2014-10-15 2015-01-28 泉州师范学院 一种基于迭代并矢格林函数的谐振腔模式分析算法
CN104915499A (zh) * 2015-06-10 2015-09-16 电子科技大学 一种预测开孔腔体谐振点频率的快速算法
CN105551919A (zh) * 2015-12-29 2016-05-04 中国科学院电子学研究所 速调管谐振腔特性参数的确定方法

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN119513453A (zh) * 2024-11-20 2025-02-25 西南交通大学 一种u形截面渡槽槽内水体横向自振频率的计算方法
CN119513453B (zh) * 2024-11-20 2025-11-11 西南交通大学 一种u形截面渡槽槽内水体横向自振频率的计算方法

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