WO2018032395A1

WO2018032395A1 - The calculation method of four patterns of resonance order of the object

Info

Publication number: WO2018032395A1
Application number: PCT/CN2016/095642
Authority: WO
Inventors: Yonggang Zhang; Jianxue ZHANG
Original assignee: Individual
Current assignee: Individual
Priority date: 2016-08-17
Filing date: 2016-08-17
Publication date: 2018-02-22
Anticipated expiration: 2019-02-17
Also published as: CN109906371A

Abstract

A calculation method of four patterns of resonance orders of the object is provided. The method can calculate the distribution characteristic of ladder structure resonance orders of a quasi-symmetric shape of the object around center natural frequency generated by force resonance from external. The method is good to calculate the frequency pattern of distribution of the first resonant order (1) pattern, the third resonance order (2) pattern, the fifth resonance order (3) pattern or the seventh resonance order (4) when the resonance of the object appears. When the resonance of the object appears when incident wave frequency is close to the natural frequency of the object, it could be accuracy to calculate two boundary values (5) of natural frequency spectrum orders of the object on both sides.

Description

THE CALCULATION METHOD OF FOUR PATTERNS OF RESONANCE ORDER OF THE OBJECT

TECHNICAL FIELD

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.

BACKGROUND OF THE INVENTION

Introduction

People have long found that any object has its inherent frequency. It has been more works that the research resonance phenomenon of nature objects has many years when nature objects affected by outside wave, and developed many theories and models, such as vibration modal learning in engineering mechanics etc. It is taken out a lot of works through actual measurement for resonance phenomenon of objects that the peoples have been used by all kinds of precision instruments and methods. But the people ignore the human organs bring us the resonance phenomenon of sound and light feeling. The human organ is able to feel the nature many subtle changes following human organ evolution, and even human design instrument cannot. The human organs feel seven colors of light wave is also a kind of human's own organs precision instrument measuring results. Human organs of the precision instrument bring feelings that the resonance phenomenon by external fluctuation has some properties. While not all objects by external force resonance have these properties, but at least the human organs by external force resonance have the properties of seven resonance orders. Such as human heard sound that (4) fa tone is strongest and the highest tones. From (1) dou tone to (4) fa tone the sound is gradually strengthen, and from the (4) fa tone to (7) xi tone will be gradually diminish. Nature evolution also showed the characteristics of the resonance orders, such as green plants in nature, because the sunlight green light order is location in the center and the energy strongest, but also nature plants evolution is that maximum ways absorb solar energy. It is also looking for ways to present their own form that plants evolution change green.

The naked eye of the people to see the sun have seven kinds of colors of red, orange, yellow, green, chongkwang blue, violet, and the people hears music with the ears not only have seven orders in medius, in treble and bass also each have seven orders. When voice is into our ears resonate cavity, the people can hear the sound of the musical. Why the sound and light are the seven orders rather than six resonances orders, eight resonance orders or nine resonance orders？ So far no one can to answer this question！ For any specific structure of the object has a natural frequency that has the wave characteristics of the object, as both particles of light and electron have wave-particle duality. When foreign incident wave frequency is close to inherent frequency of the object, the object will begin to generate resonance. It is maximum value that the object would generate resonance when outside the incident wave frequency is equal to inherent frequency of the object.

Based on the resonance phenomenon of the object, we may deduce that the structure of natural frequency of the object is wide than just a specific value. It has been designed the model in the invention that 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.

In this invention, it is given that calculation formula of resonance seven orders for both sound and light is an effective with the measured values. As long as center natural frequency of the object is given, the method could calculate the value of the rest six resonance orders. Its calculation accuracy is higher.

About a quarter wavelength effects, anti-coating in optical have the thickness of incident a quarter of wavelength to be requested, and the thickness of acoustic speaker membrane in acoustic has a quarter wavelength resonance characteristics also. So-called a quarter of 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. Although many people do not accept this effect, but this paper our design formula by using the a quarter wavelength effect has good results.

SUMMARY OF THE INVENTION

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.

On the basis of resonance wave effect of a quarter wavelength, we designed the method for calculating the other resonant orders on both sides when middle resonant order wavelength knows. It could be calculated for the frequency of the first resonant order pattern or three orders pattern resonance region or five resonance orders pattern or seven resonance orders pattern when the resonance of the object appears.

The method calculation results have good agreement with the measured values.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the present invention, and the advantages thereof, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like numbers designate like parts, and in which:

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. 5 Seven scales of sound distribution schematic diagram in high middle bass part；

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.

DETAILED DESCRIPTION OF THE INVENTION

To solve the technical problems, the present invention provides a resonance order calculation method

1 Wavelength of resonance order calculation formula

1. By a quarter of the wavelength effect resonance characteristics (Y. G. Zhang, PCT/CN2015/089237, Title: THE CALCULATION METHOD OF WAVE REFLECTIVE INDEX ON INTERFACE) , in this invention the author design a simple calculation method for resonance order of resonance cavity of the object. Its principle is based on approximate symmetrical normal distribution ladder spectral shape of the resonance cavity structure model, that the wavelength of the center frequency of the object structure add and subtract its wavelength multiplied by the resonance coefficient obtain the wavelength of the resonance order as left and right sides of the center frequency. And the resonance coefficient is various sum of a quarter grade number. Due to a quarter wavelength resonance effect, the oscillation of resonance phenomenon will appear, the oscillation vary values are both the sum and difference of grade number of a quarter, or the oscillation vary values are both sum and difference of grade number of both 1/8 and 1/16. The coefficients of resonance orders can be designed to:

Resonance order wavelength of the object calculation formula:

the resonance order coefficient calculation formula：

Where L_i is any resonance order frequency corresponding to the wavelength；

L_c is the inherent center order frequency corresponding to the wavelength.

When r＝0:

where

Corresponds to two resonances orders around the outer boundary, where is namely the first lap of two resonance orders endpoint wavelengths.

where

Corresponds to the second ring of the two resonant orders, where is the second circle inward two resonance orders endpoint wavelengths.

When r＝1:

where

Corresponds to the third ring of the resonance order where is corresponds to the side of short wavelength of 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

When r＝2:

where

It corresponds to the endpoint wavelength of the center frequency which is on one side of the long wave direction, and is the third lap long wave side.

Why is it selected the endpoint of wavelengths longer for the center frequency？ Because the long wavelength side resonance wave moment of all three resonance orders is greater than other three resonance orders on one side of short wavelengths. So it need has four endpoint of resonance wave orders to balance on one side of short wavelengths.

The formula using illustrate

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

In the invention, 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.

And 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. When 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.

For the objects with multiple natural frequency, such as ear cavity, we have multiple relationship the natural frequency of 2 times, 4 times, such as 8 times center frequency of (4) scales in mediant department or 1/2, 1/4 such as 1/8 of center frequency of (4) order in the mediant department as the center frequency may is calculated, but resonance frequency boundary share a common outside border order in both center frequency adjacent. This algorithm can well realize that medius and bass or treble and medius are seamless link up and its share a common outside border order for figure 5, where horizontal axis is wavelength coefficient

and vertical coordinate is resonance index R. The fact in real music it is half-down the chromatic to use for medius (7) and the bass sounds

and treble department

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. As shown 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. It may be objective truth that resonance orders of the inner ring of the objects near the center frequency are asymmetric or quasi-symmetric. Also 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.

Invent content to apply example

First case :

The verification of seven colors of sun light with the method

Take the green light for center frequency where wavelength is longer endpoint of L_c-green＝565nm. We apply equation (1) to calculate other six colors wavelengths of sun light.

When r＝0，

It corresponds to the red light wavelength of 740nm.

It corresponds to the purple light wavelength of 380nm.

It corresponds to the orange light wavelength of 625nm.

It corresponds to the blue light wavelength of 440nm.

When r＝1

It corresponds to the chongkwang light wavelength of 485nm.

It corresponds to the green light at the other end is shorter wavelength side of 500nm.

When r＝2:

It corresponds to yellow light wavelength of 590nm.

Table 1 Seven colors wavelengths calculation result list

Although the orange light calculation error is larger, but does not exclude the error generated by the delimitation of both the red and orange light, because red light band width is 115 nm, orange light band too narrow a difference of 35 nm. If the wavelength of delimitation of both the red and orange light is 660 nm, it may be more reasonable.

From optical color matching principle of the three primary colors, 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. As a result of 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.

Second case:

Verification for seven resonance orders of sound with the method

Register (1) (2) (3) (4) (5) (6) (7) of seven scales in middle-part, (4) scale is as the center frequency. We apply equation (1) to calculate other six scales wavelength of the sound.

When r ＝ 0, both (1) and (7) scales are corresponding wavelength as follows:

It corresponds to the (1) scale wavelength is 0.772m.

It corresponds to the (7) scale wavelength is 0.409m.

Both (2) and (6) scales are corresponding wavelength as follows:

It corresponds to the (2) scale wavelength is 0.688m.

It corresponds to the (6) scale wavelength is 0.459m.

When r＝1,

It corresponds to the (5) scale wavelength is 0.515m.

When r＝2,

It corresponds to the (3) scale wavelength is 0.613m.

Table 2 Seven scales wavelength calculation result in acoustic medius list

Table 3 Seven wavelength scales calculation result in acoustic bass list

Table 4 Seven scales wavelength calculation result in acoustic treble list

The calculation errors are big to 5％from table 2 (7) , table

and table

scales by comparison. But in table 2 (7) scale wavelength calculated value is 0.385m with coincide to table

of the measured wavelength value of 0.386m, and table

scale wavelength calculated value is 0.771m with coincide to table 2 (1) scale of the measured wavelength value of 0.772m. Calculation results in the method show a seamless link up for three parts of treble, medius and bass, and its share a common outside border order for figure 5.

The fact in real music it is half-down the chromatic to use for medius (7) and the bass sounds

and treble department

This is because the resonance order width of the bass

scale is greater than the resonance order width of the adjacent (1) scale, and the resonance order width of (7) scale is same greater than the adjacent to

scale.

Three case:

2. As shown in figure 6 (Brian Smits, An RGB to Spectrum Conversion for Reflectances. Journal of Graphics Tools. 2000, 4 (4) : 11-2) red, green and blue three color reflection energy spectrum contribution following wavelength distribution, where green light reflection energy orders is presented quasi symmetric the three orders on two sides around centered order of green light. The result is accords with the model of this invention！

Claims

The calculation method of four patterns of resonance orders of the object:

The models of resonance orders of the nature frequency of the object are the middle order of frequencies as the center where other some orders are in both sides of the quasi-symmetrical distribution regularly.

When the wavelength of center resonant order of the object know, calculation formula of wavelength of other resonance order is

The coefficient calculation formula of the resonance order is

Where L_i is any resonance order frequency corresponding to the wavelength； L_c is the inherent center order frequency corresponding to the wavelength.

Any object has its inherent frequency, it can be seen from the above calculation results that the resonance order of the object can be presented a first order, the third orders, also five orders, only seven orders. Only four pattern of the resonance orders structure occur in the nature objects. The resonance order of the objects can only be odd number and is not even numbers, resonance orders are bilateral quasi-symmetry distribution round center frequency.
The calculation method of four patterns of resonance orders of the object of claim 1 wherein said the first resonant order of the system calculation method:

The wavelength calculation method of the objects is
where the resonance coefficient is
and r＝1.
The calculation method of four patterns of resonance orders of the object of claim 1 wherein said the three resonance orders of the system calculation method:

Based on first resonance order calculation result of the model, the system increase two wavelengths of the boundary frequency calculation method are both
and
where the resonance coefficients are both
r＝2 and
r＝1.
The calculation method of four patterns of resonance orders of the object of claim 1 wherein said the five resonance orders of the system calculation method:

Based on three resonance orders calculation results of the objects, the system increase two wavelengths of the boundary frequency calculation method are
where the resonance coefficient is
r＝0.
The calculation method of four patterns of resonance orders of the object of claim 1 wherein said the calculation method of seven resonance orders of the system:
Based on five resonance orders calculation results of the objects, the system increase two wavelengths of the boundary frequency calculation method are
where the resonance coefficient is
r＝0.
The calculation method of four patterns of resonance orders of the object of claim 1 wherein said the calculation method of the two boundary resonance orders of the total system in outside:

The wavelengths of the two boundary resonance orders frequency of the total system calculation method are
where the resonance coefficient is
also. This is a third wavelength effect of beginning resonance two boundary orders of the object.
The calculation method of four patterns of resonance orders of the object of claim 1 wherein said the calculation method of the resonance orders of the multiple center natural frequency in total system :

For the objects with multiple natural frequency, such as ear cavity, we have multiple relationship the natural frequency of 2 times, 4 times, such as 8 times center frequency of (4) scales of middle department or 1/2, 1/4 such as 1/8 of center frequency of (4) order in the middle department as the center frequency may is calculated, but resonance frequency boundary share a common outside border order in both center frequency adjacent. This algorithm can well realize that medius and bass or treble and medius are seamless link up and its share a common outside border order.