CN102588508B - Counter weight design method of vibration reduction system - Google Patents

Abstract

The invention relates to a counter weight design method of a vibration reduction system, and is applicable to vehicle-mounted photoelectric tracking measuring equipment or vehicle-mounted radar, aiming at solving the defects that common vibration reduction systems greatly reduce the measurement precision of photoelectric tracking measurement equipment and an angular-displacement-free vibration reduction system cannot play a vibration reduction role in the inclining direction of a carrying platform; and during running of a loading vehicle, the photoelectric tracking measurement equipment can implement the measurement task with high precision while ensuring the requirements of safety and reliability of the photoelectric tracking measurement equipment. According to the invention, the photoelectric tracking measurement equipment is fixed on a counter weight platform which is connected with a moving platform by a plurality of vibration isolator; the attenuation frequency bands of the vibration reduction system and the parameters and the layout of the vibration isolators are determined according to the requirements of the vibration environment of the moving platform and the vibration resisting capability and spatial resolution of the photoelectric tracking measuring equipment; the weight and dimension of the counter weight platform are determined according to the requirements of tracking precision of the photoelectric tracking measurement equipment and the rotational inertia of a pitching axis as well as the attenuation frequency bands needed by the vibration reduction system.

Description

A kind of counterbalance design method of vibration insulating system

Technical field

The present invention relates to a kind of vibration insulating system structure and design thereof that is applicable to trailer-mounted radar, vehicle-mounted photoelectric tracking measuring equipment, specifically, a kind of for take the photoelectric tracking measuring equipment that up-down vibration and tilt and vibration work under main vehicle-mounted transport state, the vibration damping of realization and true dip direction upper and lower to it, and can guarantee the tracking measurement performance of photoelectric tracking measuring equipment.

Background technique

Photoelectric tracking measuring equipment is a kind of main equipment of high-acruracy survey, and when guaranteeing high reliability, the demand of good mobility is day by day urgent.Owing to requiring to work in transportation process, although traditional vibration damping mode can guarantee the safety and reliability of equipment in transportation process, can have a strong impact on the tracking measurement performance of photoelectric tracking measuring equipment.Although the vibration insulating system of irrotational displacement can guarantee the high-performance of photoelectric tracking measuring equipment and measure, but take, to sacrifice the vibration damping of true dip direction be cost, although be relatively applicable to airborne opto-electronic device, but to carrying, this on car to take up-down vibration and tilt and vibration be main vibration environment, use irrotational displacement isolator system meeting serious threat to the safety of photoelectric tracking measuring equipment, also can have a strong impact on its image quality.Not yet relevant for the technology of relevant vibration insulating system design, report at present.

Summary of the invention

The technical problem to be solved in the present invention is: overcome traditional vibration insulating system and irrotational displacement isolator system applies in the deficiency of vehicle-mounted photoelectric tracking measuring equipment, a kind of counterbalance design method of vibration insulating system is provided, in guaranteeing transportation process, under photoelectric tracking measuring equipment safety and reliable prerequisite, do not affect again the high-acruracy survey performance of photoelectric tracking measuring equipment.

The technical solution adopted for the present invention to solve the technical problems is: a kind of counterbalance design method of vibration insulating system, is characterized in that: counterweight platform (1), vibration isolator (2), consist of; Performing step is as follows:

(1) according to the designing requirement of photoelectric tracking measuring equipment (rigidity, image quality, the tracking measurement precision that comprise optical-mechanical system), vehicle-mounted vibration environment, determine the resonant frequency of vibration insulating system above-below direction and true dip direction;

According to designing requirement and vehicle-mounted vibration environment, certain angular frequency w that need to be to above-below direction at above-below direction _vsand the vibration of higher frequency decays, the resonant frequency w of vibration insulating system above-below direction _vnmeet:

$w_{\mathrm{vn}}\&le;\frac{w_{\mathrm{<figure-callout\; id="2"\; label="vs"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">vs</figure-callout>}}}{\sqrt{2}}$

W _vscertain angular frequency that represents above-below direction;

According to designing requirement and vehicle-mounted vibration environment, need to be to w at true dip direction _ssand the vibration of higher frequency decays, the resonant frequency w of vibration insulating system true dip direction _sn1meet:

$w_{\mathrm{<figure-callout\; id="1"\; label="sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">sn</figure-callout>}1}\&le;\frac{w_{\mathrm{<figure-callout\; id="2"\; label="ss"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">ss</figure-callout>}}}{\sqrt{2}}$

W _sscertain angular frequency that represents true dip direction;

Be made as the tracking measurement precision that guarantees photoelectric tracking measuring equipment pitching system, requiring pitching system is w around the rotation resonant frequency of elevation axis _en, the resonant frequency that structural design obtains is w _ien, the resonant frequency w of the vibration insulating system true dip direction being formed by pitching system and n vibration isolator (2) _sn2meet:

${\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}\&GreaterEqual;\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

For vehicular platform, mainly take up-down vibration and tilt and vibration as main, the vibration of opposing connection platform Normal direction can not considered, so select a vibration isolator along axial direction vibration damping.

(2) layout of vibration isolator and the requirement to number n;

Vibration isolator adopts square uniform layout, and the number n integral multiple that is 4.Concerning photoelectric tracking measuring equipment, the isotropy of vibration insulating system is the prerequisite that guarantees that tenacious tracking is measured, and while requiring orientation and pitching to point to arbitrary position, the rigidity of azimuth rotation and the corresponding vibration insulating system of pitch rotation is all identical; When vibration isolator (around photoelectric tracking measuring equipment azimuth axis squarely layout and when uniform along each limit, can meet the integral multiple that isotropy requires and n is 4.

(3) determine the rigidity of vibration insulating system above-below direction and true dip direction;

If the rigidity of each vibration isolator above-below direction is k _ud, the stiffness K of the vibration insulating system above-below direction that n vibration isolator forms _udmeet:

K _ud＝nk _ud

$K_{\mathrm{ud}}={\mathrm{nk}}_{\mathrm{ud}}=w_{\mathrm{vn}}^2({\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_1+m_2)$

The rigidity of true dip direction meets:

$K_{\mathrm{sl}}=\frac{K_{\mathrm{ud}}{l}^2}{N}={\mathrm{<figure-callout\; id="1"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}^1{J}_t={\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}^2{J}_e=\frac{w_{\mathrm{vn}}^2{l}^2({\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_1+m_2)}{N}$

N: the coefficient relevant to vibration isolator number n, is solved N=2 during as n=4, N=6 during n=8 by analytical mechanics relevant knowledge;

M ₁: the quality of photoelectric tracking measuring equipment;

M ₂: the quality of counterweight platform;

L: the length of side of the square distribution of vibration isolator;

J _t: photoelectric tracking measuring equipment and counterweight platform are around the rotary inertia of counterweight platform bottom center axle;

J _e: pitching system is around the rotary inertia of elevation axis.

(4) counterweight platform quality m ₂, the determining of width l ' and thickness h;

For guaranteeing the isotropy of vibration insulating system, the upper and lower end face of counterweight platform should be square, and its length of side meets:

l′＞l

$h=\frac{{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_2}{{\mathrm{\&rho;l}}^{\&prime;2}}$

ρ: the density of counterweight platform material therefor.

Counterweight platform quality m ₂, width l ' and thickness h deterministic process as follows:

1. the quality m of proposal plan counterweight platform ₂, width l ', thickness h;

2. calculate the quality m of electro-optical tracking device ₁rotary inertia J with pitching system _e, according to equipment performance index request and working environment, determine w _vn, w _ssand calculate:

$\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

3. by counterweight platform (1) and photoelectric tracking measuring equipment, calculate J _t;

4. determine total rigidity of vibration insulating system;

$K_{\mathrm{ud}}=w_{\mathrm{vn}}^2({\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_1+m_2)$

5. according to the rigidity of vibration isolator, determine the number of vibration isolator (2), the number of vibration isolator will be 4 integral multiple, according to analytical mechanics relevant knowledge, solves coefficient N;

$n=\frac{K_{\mathrm{ud}}}{k_{\mathrm{ud}}}$

6. the length of side l < l ' of the preliminary selected square distribution of vibration isolator, and calculate the resonant frequency w of vibration insulating system true dip direction _sn1and w _sn2;

${\mathrm{<figure-callout\; id="1"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}=w_{\mathrm{<figure-callout\; id="1"\; label="vn\; l\; m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">vn</figure-callout>}}l\sqrt{\frac{m_{}}{}}\sqrt{\frac{{}_1+{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_2}{{\mathrm{NJ}}_t}}$

${\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}=w_{\mathrm{<figure-callout\; id="1"\; label="vn\; l\; m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">vn</figure-callout>}}l\sqrt{\frac{m_{}}{}}\sqrt{\frac{{}_1+{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_2}{{\mathrm{NJ}}_e}}$

If 7. w _sn1and w _sn2meet simultaneously;

$w_{\mathrm{<figure-callout\; id="1"\; label="sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">sn</figure-callout>}1}\&le;\frac{w_{\mathrm{<figure-callout\; id="2"\; label="ss"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">ss</figure-callout>}}}{\sqrt{2}}$

${\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}\&GreaterEqual;\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

Design finishes; Otherwise a repeating step part 1., 3., 4., 5., 6. or wherein designs again, until the condition 7. meets.

The present invention compared with prior art has following advantage:

(1) the present invention, by the design of counterweight platform, when vehicle-mounted photoelectric tracking measuring equipment is carried out to upper and lower vibration damping and inclination vibration damping, can guarantee again the tracking measurement performance of photoelectric tracking measuring equipment.

(2) design of the present invention makes transmission and the pitching system moment of rotation vibrated to equipment experience different vibration insulating systems, the vibration insulating system being comprised of vibration isolator, counterweight platform, photoelectric tracking measuring equipment respectively and the vibration insulating system being comprised of vibration isolator, photoelectric tracking measuring equipment pitching system to the transmission of carrying car; When vibration is transmitted to equipment, the resonant frequency of vibration insulating system is low, is conducive to vibration isolation, moment of rotation during to vehicle-mounted transmit the resonant frequency of vibration insulating system high, guaranteed the rotational stiffness of pitching system, thereby guaranteed the tracking measurement precision of pitching system.

Accompanying drawing explanation

Fig. 1 is that the structure of the counterbalance design method of vibration insulating system in the present invention forms and schematic layout pattern;

Fig. 2 is vibration isolator of the present invention and counterweight platform assembly schematic diagram;

Fig. 3 is counterweight platform and vibration isolator parameter designing route map in the present invention;

In figure: 1 is counterweight platform, 2 vibration isolators.

Embodiment

As shown in Figure 1, 2, vibration insulating system in the present invention comprises counterweight platform 1 and vibration isolator 2, photoelectric tracking measuring equipment is positioned on counterweight platform 1, and the vibration isolator 2 arranging below by counterweight platform 1 is realized vibration damping, and the counterbalance design performing step of concrete vibration insulating system as shown in Figure 3.

The first step, determines the resonant frequency of vibration insulating system above-below direction and true dip direction according to requirement, vehicle-mounted vibration environments such as the rigidity of photoelectric tracking measuring equipment optical-mechanical system, image quality and tracking measurement precision;

According to the rigidity of photoelectric tracking measuring equipment optical-mechanical system, image quality and tracking measurement precision etc., require and vehicle-mounted vibration environment, need to be to w at above-below direction _vsthe vibration of～∝ frequency range decays, the resonant frequency w of vibration insulating system above-below direction _vnmeet:

$w_{\mathrm{vn}}\&le;\frac{w_{\mathrm{vs}}}{\sqrt{2}}$

According to the rigidity of photoelectric tracking measuring equipment optical-mechanical system, image quality and tracking measurement precision etc., require and vehicle-mounted vibration environment, need to be to w at true dip direction _ssthe vibration of～∝ frequency range decays, the resonant frequency w of vibration insulating system true dip direction _sn1meet:

${\mathrm{<figure-callout\; id="1"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}\&le;\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; ss"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{ss}}}{\sqrt{2}}$

Be made as the tracking measurement precision that guarantees photoelectric tracking measuring equipment pitching system, requiring pitching system is w around the rotation resonant frequency of elevation axis _en, the resonant frequency that structural design obtains is w _ien, the resonant frequency w of the vibration insulating system true dip direction being formed by pitching system and n vibration isolator 2 _sn2meet:

${\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}\&GreaterEqual;\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

For vehicular platform, mainly take up-down vibration and tilt and vibration as main, the vibration of opposing connection platform Normal direction can not considered, so select a vibration isolator 2 along axial direction vibration damping.

Second step, the layout of vibration isolator 2 and the requirement to number n;

Concerning photoelectric tracking measuring equipment, the isotropy of vibration insulating system is the prerequisite that guarantees that tenacious tracking is measured, and while requiring orientation and pitching to point to arbitrary position, the rigidity of azimuth rotation and the corresponding vibration insulating system of pitch rotation is all identical; When vibration isolator 2 is around photoelectric tracking measuring equipment azimuth axis squarely layout and when uniform along each limit, can meet the integral multiple that isotropy requires and n is 4.N=8 in the concrete enforcement of the present invention.

(3) determine the rigidity of vibration insulating system above-below direction and true dip direction;

If the rigidity of each vibration isolator 2 above-below direction is k _ud, the stiffness K of the vibration insulating system above-below direction that n vibration isolator 2 forms _udmeet:

K _ud＝nk _ud

$K_{\mathrm{ud}}={\mathrm{nk}}_{\mathrm{ud}}=w_{\mathrm{vn}}^2({\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_1+m_2)$

The rigidity of true dip direction meets:

$K_{\mathrm{sl}}=\frac{K_{\mathrm{ud}}{l}^2}{N}={\mathrm{<figure-callout\; id="1"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}^1{J}_t={\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}^2{J}_e=\frac{w_{\mathrm{vn}}^2{l}^2({\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_1+m_2)}{N}$

N: the coefficient relevant to vibration isolator 2 number n, N=6 during n=8;

M ₁: the quality of photoelectric tracking measuring equipment;

M ₂: the quality of counterweight platform 1;

L: the length of side of vibration isolator 2 square distributions;

J _t: photoelectric tracking measuring equipment and counterweight platform 1 are around the rotary inertia of counterweight platform 1 bottom center's axle;

J _e: pitching system is around the rotary inertia of elevation axis.

(4) counterweight platform 1 quality m ₂, the determining of width l ' and thickness h;

For guaranteeing the isotropy of vibration insulating system, the upper and lower end face of counterweight platform 1 should be square, and its length of side meets:

l′＞l

$h=\frac{{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_2}{{\mathrm{\&rho;l}}^{\&prime;2}}$

ρ: the density of counterweight platform 1 material therefor, in the concrete enforcement of the present invention, selection is 45 steel.

In the concrete enforcement of the present invention, get l '=l+10mm.

Counterweight platform 1 quality m ₂, width l ' and thickness h deterministic process as follows:

1. the quality m of proposal plan counterweight platform 1 ₂, width l ', thickness h;

2. calculate the quality m of electro-optical tracking device ₁rotary inertia J with pitching system _e, according to equipment performance index request and working environment, determine w _vn, w _ssand calculate:

$\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

3. by counterweight platform 1 and photoelectric tracking measuring equipment, calculate J _t;

4. determine total rigidity of vibration insulating system;

$K_{\mathrm{ud}}=w_{\mathrm{vn}}^2({\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_1+m_2)$

5. according to the rigidity of vibration isolator 2, determine the number of vibration isolator 2, the number of vibration isolator 2 will be 4 integral multiple, in the concrete enforcement of the present invention, gets n=8, solves coefficient N, N=6 during n=8 according to analytical mechanics relevant knowledge;

$n=\frac{K_{\mathrm{ud}}}{k_{\mathrm{ud}}}$

6. the length of side l < l ' of preliminary selected vibration isolator 2 square distributions, and calculate the resonant frequency w of vibration insulating system true dip direction _sn1and w _sn2;

${\mathrm{<figure-callout\; id="1"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}=w_{\mathrm{vn}}l\sqrt{\frac{m_1+{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_2}{{\mathrm{NJ}}_t}}$

${\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}=w_{\mathrm{vn}}l\sqrt{\frac{m_1+{\mathrm{<figure-callout\; id="2"\; label="m"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">m</figure-callout>}}_2}{{\mathrm{NJ}}_e}}$

If 7. w _sn1and w _sn2meet simultaneously;

${\mathrm{<figure-callout\; id="1"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}\&le;\frac{{\mathrm{<figure-callout\; id="2"\; label="w\; ss"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{ss}}}{\sqrt{2}}$

${\mathrm{<figure-callout\; id="2"\; label="w\; sn"\; filenames="HDA0000129672550000012.png"\; state="\{\{state\}\}">w</figure-callout>}}_{\mathrm{sn}}\&GreaterEqual;\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

Design finishes; Otherwise a repeating step part 1., 3., 4., 5., 6. or wherein designs again, until the condition 7. meets.

As known from the above, when the counterbalance design of vibration insulating system of the present invention is carried out upper and lower vibration damping and inclination vibration damping to vehicle-mounted photoelectric tracking measuring equipment, can guarantee again the tracking measurement performance of photoelectric tracking measuring equipment.

Claims (2)

1. the counterbalance design method of a vibration insulating system, described vibration insulating system comprises counterweight platform (1) and vibration isolator (2), photoelectric tracking measuring equipment is positioned on counterweight platform (1), the vibration isolator (2) arranging below by counterweight platform (1) is realized vibration damping, it is characterized in that: the counterbalance design performing step of concrete vibration insulating system is as follows:

The first step, determines the resonant frequency of vibration insulating system above-below direction and true dip direction according to the designing requirement of photoelectric tracking measuring equipment and vehicle-mounted vibration environment;

According to the designing requirement of photoelectric tracking measuring equipment and vehicle-mounted vibration environment, certain angular frequency w that need to be to above-below direction at above-below direction _vsand the vibration of higher frequency decays, the resonant frequency w of vibration insulating system above-below direction _vnmeet:

$w_{\mathrm{vn}}\&le;\frac{w_{\mathrm{vs}}}{\sqrt{2}}$

W _vscertain angular frequency that represents above-below direction;

According to the designing requirement of photoelectric tracking measuring equipment and vehicle-mounted vibration environment, certain angular frequency w that need to be to true dip direction at true dip direction _ssand the vibration of higher frequency decays, the resonant frequency w of vibration insulating system true dip direction _sn1meet:

$w_{\mathrm{sn}1}\&le;\frac{w_{\mathrm{ss}}}{\sqrt{2}}$

W _sscertain angular frequency that represents true dip direction;

Be made as the tracking measurement precision that guarantees photoelectric tracking measuring equipment pitching system, requiring pitching system is w around the rotation resonant frequency of elevation axis _en, the resonant frequency that structural design obtains is w _ien, the resonant frequency w of the vibration insulating system true dip direction being formed by photoelectric tracking measuring equipment pitching system and n vibration isolator (2) _sn2meet:

$w_{\mathrm{sn}2}\&GreaterEqual;\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

Second step, the layout of vibration isolator (2) and the requirement to number n:

Vibration isolator (2) adopts square uniform layout, and the number n integral multiple that is 4;

The 3rd step, determine the rigidity of vibration insulating system above-below direction and the rigidity of true dip direction:

If the rigidity of each vibration isolator (2) above-below direction is k _ud, the stiffness K of the vibration insulating system above-below direction that n vibration isolator (2) forms _udmeet:

K _ud＝nk _ud

$K_{\mathrm{ud}}={\mathrm{nk}}_{\mathrm{ud}}=w_{\mathrm{vn}}^2(m_1+m_2)$

The rigidity of true dip direction meets:

$K_{\mathrm{sl}}=\frac{K_{\mathrm{ud}}{l}^2}{N}=w_{\mathrm{sn}1}^2{J}_t=w_{\mathrm{sn}2}^2{J}_e=\frac{w_{\mathrm{vn}}^2{l}^2(m_1+m_2)}{N}$

N: the coefficient relevant to vibration isolator (2) number n;

M ₁: the quality of photoelectric tracking measuring equipment;

M ₂: the quality of counterweight platform (1);

L: the length of side of the square distribution of vibration isolator (2);

J _t: photoelectric tracking measuring equipment and counterweight platform (1) are around the rotary inertia of counterweight platform (1) bottom center axle;

J _e: pitching system is around the rotary inertia of elevation axis;

The 4th step, counterweight platform (1) quality m ₂, the determining of width l ' and thickness h:

For guaranteeing the isotropy of vibration insulating system, the upper and lower end face of counterweight platform (1) should be square, and its length of side meets:

l′＞l

$h=\frac{m_2}{{\mathrm{\&rho;l}}^{\&prime;2}}$

ρ: the density of counterweight platform (1) material therefor;

Counterweight platform (1) quality m ₂, width l ' and thickness h deterministic process as follows:

1. the quality m of proposal plan counterweight platform (1) ₂, width l ', thickness h;

2. calculate the quality m of electro-optical tracking device ₁rotary inertia J with pitching system _e, according to equipment performance index request and working environment, determine w _vn, w _ssand calculate:

$\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

3. by counterweight platform (1) and photoelectric tracking measuring equipment, calculate J _t;

4. determine total rigidity of vibration insulating system;

$K_{\mathrm{ud}}=w_{\mathrm{vn}}^2(m_1+m_2)$

5. according to the rigidity of vibration isolator (2), determine the number of vibration isolator (2), the number of vibration isolator (2) will be 4 integral multiple, according to analytical mechanics relevant knowledge, solves coefficient N;

$n=\frac{K_{\mathrm{ud}}}{k_{\mathrm{ud}}}$

6. the length of side l < l ' of the preliminary selected square distribution of vibration isolator (2), and calculate the resonant frequency w of vibration insulating system true dip direction _sn1and w _sn2;

$w_{\mathrm{sn}1}=w_{\mathrm{vn}}l\sqrt{\frac{m_1+m_2}{{\mathrm{NJ}}_t}}$

$w_{\mathrm{sn}2}=w_{\mathrm{vn}}l\sqrt{\frac{m_1+m_2}{{\mathrm{NJ}}_e}}$

If 7. w _sn1and w _sn2meet simultaneously

$w_{\mathrm{sn}1}\&le;\frac{w_{\mathrm{ss}}}{\sqrt{2}}$

$w_{\mathrm{sn}2}\&GreaterEqual;\frac{w_{\mathrm{en}}{w}_{\mathrm{ien}}}{w_{\mathrm{ien}}-w_{\mathrm{en}}}$

Design finishes; Otherwise a repeating step part 1., 3., 4., 5., 6. or wherein designs again, until the condition 7. meets.

2. the counterbalance design method of a kind of vibration insulating system according to claim 1, is characterized in that: N=2 during n=4 in described the 3rd step, N=6 during n=8.

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