Method for estimating mechanical impedance of vibration isolator

Abstract

The invention discloses a method for estimating mechanical impedance of a vibration isolator, which relates to the technical field of vibration isolation, and comprises the following steps of: directly giving equivalent parameters of a typical vibration isolator and a calculation formula of the equivalent parameters of vibration isolators except the typical vibration isolator; the equivalent parameters of the target vibration isolator to be estimated can be directly inquired and determined when the target vibration isolator to be estimated belongs to a typical vibration isolator, and the equivalent parameters of the target vibration isolator to be estimated can be calculated according to the rated load and the static stiffness when the target vibration isolator to be estimated does not belong to the typical vibration isolator. And then the input impedance and the transfer impedance of the target vibration isolator can be estimated by using the equivalent parameters through a fitting formula, and the estimation method is simple in implementation mode, good in matching with test results, high in estimation precision, free of limitation of vibration isolator types, wide in application range and capable of providing key input data for vibration evaluation of the vibration isolation system. The method is suitable for calculation and evaluation in the vibration isolation system design stage.

Description

Technical Field

[0001] The present application relates to the field of vibration isolation technology, and in particular to a method for estimating the mechanical impedance of a vibration isolator. Background Art

[0002] Vibration isolators are elastic elements installed between ship equipment and the hull structure, and are an important component for controlling the vibration transmission of ship equipment. Mechanical impedance is a basic parameter that characterizes the dynamic mechanical characteristics of vibration isolators. It contains the stiffness and damping information of vibration isolators and is an important input parameter for the design and evaluation of vibration isolation systems. The mechanical impedance of vibration isolators is related to factors such as their structural form, material properties, load-bearing mode, load size, and ambient temperature. Since vibration isolators have various structural forms and usually contain nonlinear materials such as rubber or large deformation structures such as wire ropes, the mechanical impedance of vibration isolators is generally measured by experimental methods.

[0003] However, the mechanical impedance of the vibration isolator needs to be measured on a special impedance platform, and there are many types of vibration isolators. The mechanical impedance of each vibration isolator must be measured through the vibration isolator impedance test method, which is time-consuming, labor-intensive and expensive. The measurement complexity is high and the measurement efficiency is low. In addition, it is very inconvenient to perform vibration isolator impedance testing during the design stage of the vibration isolation system. Summary of the invention

[0004] In view of the above problems and technical requirements, this application proposes a method for estimating the mechanical impedance of a vibration isolator. The technical solution of this application is as follows:

[0005] A method for estimating mechanical impedance of a vibration isolator, the method comprising:

[0006] When the target vibration isolator is a typical vibration isolator, the equivalent parameters of the target vibration isolator are directly queried and determined; when the target vibration isolator is not a typical vibration isolator, the equivalent parameters of the target vibration isolator are directly queried and determined according to the rated load P of the target vibration isolator. n and static stiffness k st according to The equivalent parameters of the target vibration isolator obtained by calculation include equivalent stiffness k1, equivalent stiffness k2, equivalent stiffness k3, equivalent mass m1, equivalent mass m2, equivalent mass m3, the first extreme value Z0 of the input impedance, and the frequency f0 corresponding to the first extreme value of the input impedance;

[0007] The input impedance Z of the target vibration isolator is calculated using the fitting formula according to the equivalent parameters of the target vibration isolator. 11 (f) and transfer impedance Z 21 (f), and obtain the mechanical impedance estimation result of the target vibration isolator, where f is the frequency.

[0008] Its further technical solution is that the typical vibration isolator includes the first type of typical vibration isolator and the second type of typical vibration isolator:

[0009] The equivalent parameters of the first type of typical vibration isolators include equivalent stiffness k1, equivalent stiffness k3, equivalent mass m1 and equivalent mass m3; the first type of typical vibration isolators include vibration isolators of models E-220, E-300 and E-400;

[0010] The equivalent parameters of the second type of typical vibration isolators include equivalent stiffness k1, equivalent stiffness k2, equivalent stiffness k3, equivalent mass m1, equivalent mass m2, equivalent mass m3, the first extreme value Z0 of input impedance, and the frequency f0 corresponding to the first extreme value of input impedance; the second type of typical vibration isolators include models BE-40, BE-60, BE-85, BE-120, BE-160, BE-220, BE-300, BE-400, 6JX-45, 6JX-70, 6JX-100, 6JX-200, 6JX-400, 6JX-1200, WH-400, WH-6 00, WH-800, WH-1200, JQ-60, JQ-120, JQ-400, JQ-850, DZH-500, DZH-1500, 35000N, BSH-3500, EA-40, EA-60, EA-85, EA-120, EA- 160, EA-220, EA-300, EA-400, E-40, E-60, E-85, E-120, E-160, GJ-500D, GJ-600D, GZ-15, JYQN-6000, JYQN-15000, ZU-2700 vibration isolators.

[0011] A further technical solution is that the equivalent parameters of various first-class typical vibration isolators are:

[0012] The equivalent parameters of E-220 include: k1=3.95E+07, k3=4.01E+07, m1=-0.80, m3=-0.11;

[0013] The equivalent parameters of E-300 include: k1 = 4.88E+07, k3 = 4.87E+07, m1 = -0.55, m3 = 0.34:

[0014] The equivalent parameters of E-400 include: k1=1.33E+08, k3=1.33E+08, m1=-0.78, m3=0.12.

[0015] A further technical solution is that the equivalent parameters of various second-type typical vibration isolators are:

[0016] The equivalent parameters of BE-40 include: k1=2.75E+05, k2=2.03E+05, k3=2.74E+05, m1=-0.57, m2=0.44, m3=0.01, f0=107, Z0=34;

[0017] The equivalent parameters of BE-60 include: k1=4.48E+05, k2=-3.09E+05, k3=4.45E+05, m1=-0.64, m2=0.71, m3=0.02, f0=127, Z0=52;

[0018] The equivalent parameters of BE-85 include: k1=8.10E+05, k2=-4.92E+05, k3=8.04E+05, m1=-0.23, m2=0.22, m3=0.02, f0=283, Z0=28;

[0019] The equivalent parameters of BE-120 include: k1=6.79E+05, k2=-4.37E+05, k3=6.77E+05, m1=-0.36, m2=0.37, m3=0.03, f0=207, Z0=38;

[0020] The equivalent parameters of BE-160 include: k1=1.18E+06, k2=-9.10E+05, k3=1.21E+06, m1=-0.36, m2=0.37, m3=0.02, f0=275, Z0=29;

[0021] The equivalent parameters of BE-220 include: k1=1.62E+06, k2=-9.06E+05, k3=1.67E+06, m1=-0.45, m2=0.43, m3=0.03, f0=285, Z0=77;

[0022] The equivalent parameters of BE-300 include: k1=9.50E+05, k2=-1.05E+06, k3=9.43E+05, m1=-0.63, m2=0.75, m3=0.04, f0=189, Z0=42;

[0023] The equivalent parameters of BE-400 include: k1 = 2.33E+06, k2 = -2.68E+06, k3 = 2.34E+06, m1 = -0.80, m2 = 1.10, m3 = 0.10, f0 = 250, Z0 = 176;

[0024] The equivalent parameters of 6JX-45 include: k1=1.82E+06, k2=-9.85E+05, k3=1.92E+06, m1=-5.64, m2=9.40, m3=0.13, f0=75, Z0=1497;

[0025] The equivalent parameters of 6JX-70 include: k1=1.83E+05, k2=-1.88E+05, k3=1.86E+05, m1=-0.51, m2=0.71, m3=0.02, f0=86, Z0=70;

[0026] The equivalent parameters of 6JX-100 include: k1=3.37E+05, k2=-7.29E+05, k3=3.47E+05, m1=-0.47, m2=0.95, m3=0.04, f0=113, Z0=138;

[0027] The equivalent parameters of 6JX-200 include: k1=3.75E+05, k2=-4.85E+05, k3=3.88E+05, m1=-0.45, m2=0.98, m3=0.09, f0=113, Z0=199;

[0028] The equivalent parameters of 6JX-400 include: k1=6.00E+05, k2=-4.46E+05, k3=6.41E+05, m1=-2.12, m2=2.93, m3=0.07, f0=76, Z0=272;

[0029] The equivalent parameters of 6JX-1200 include: k1=1.82E+06, k2=-9.85E+05, k3=1.92E+06, m1=-5.64, m2=9.40, m3=0.13, f0=75, Z0=1497;

[0030] The equivalent parameters of WH-400 include: k1=8.41E+05, k2=-8.24E+05, k3=8.78E+05, m1=-0.44, m2=1.03, m3=0.06, f0=162, Z0=429;

[0031] The equivalent parameters of WH-600 include: k1=1.80E+06, k2=-1.36E+06, k3=1.90E+06, m1=-3.42, m2=3.86, m3=0.35, f0=110, Z0=197;

[0032] The equivalent parameters of WH-800 include: k1=2.23E+06, k2=-1.56E+06, k3=2.33E+06, m1=-3.60, m2=6.63, m3=0.38, f0=102, Z0=1393;

[0033] The equivalent parameters of WH-1200 include: k1=2.63E+06, k2=-2.93E+06, k3=2.85E+06, m1=-4.64, m2=8.56, m3=0.12, f0=97, Z0=1716;

[0034] The equivalent parameters of JQ-60 include: k1=1.54E+05, k2=-1.16E+06, k3=1.61E+05, m1=0.03, m2=0.48, m3=0.04, f0=186, Z0=151;

[0035] The equivalent parameters of JQ-120 include: k1=2.82E+05, k2=-1.32E+06, k3=1.61E+05, m1=0.01, m2=0.48, m3=0.04, f0=218, Z0=196;

[0036] The equivalent parameters of JQ-400 include: k1=1.48E+06, k2=-3.67E+06, k3=1.53E+06, m1=-0.08, m2=0.63, m3=0.11, f0=369, Z0=334;

[0037] The equivalent parameters of JQ-850 include: k1=3.35E+06, k2=-4.24E+06, k3=3.53E+06, m1=-1.87, m2=3.86, m3=0.49, f0=170, Z0=1153;

[0038] The equivalent parameters of DZH-500 include: k1=7.25E+05, k2=-7.92E+05, k3=7.60E+05, m1=-1.76, m2=2.17, m3=0.12, f0=95, Z0=105;

[0039] The equivalent parameters of DZH-1500 include: k1=4.74E+06, k2=-1.38E+07, k3=4.80E+06, m1=-6.14, m2=10.37, m3=0.29, f0=134, Z0=431;

[0040] The equivalent parameters of 35000N include: k1=7.82E+07, k2=-1.42E+08, k3=8.66E+07, m1=-19.17, m2=38.26, m3=3.20, f0=278, Z0=3557;

[0041] The equivalent parameters of BSH-3500 include: k1=2.10E+07, k2=3.17E+06, k3=2.21E+07, m1=18.71, m2=18.58, m3=6.27, f0=230, Z0=32136;

[0042] The equivalent parameters of EA-40 include: k1=1.56E+06, k2=-1.17E+06, k3=1.59E+06, m1=-0.23, m2=0.31, m3=0.04, f0=364, Z0=157;

[0043] The equivalent parameters of EA-60 include: k1 = 2.00E+06, k2 = -1.14E+06, k3 = 2.01E+06, m1 = -0.08, m2 = 0.08, m3 = 0.06, f0 = 673, Z0 = 97;

[0044] The equivalent parameters of EA-85 include: k1=1.93E+06, k2=-2.28E+06, k3=1.95E+06, m1=-0.19, m2=0.34, m3=0.07, f0=431, Z0=202;

[0045] The equivalent parameters of EA-120 include: k1=2.15E+06, k2=-1.93E+06, k3=2.16E+06, m1=-0.21, m2=0.36, m3=0.10, f0=405, Z0=222;

[0046] The equivalent parameters of EA-160 include: k1=6.64E+06, k2=-7.36E+06, k3=6.78E+06, m1=-0.25, m2=0.39, m3=0.06, f0=712, Z0=240;

[0047] The equivalent parameters of EA-220 include: k1=5.66E+06, k2=-4.48E+06, k3=5.78E+06, m1=-0.37, m2=0.37, m3=0.14, f0=581, Z0=203;

[0048] The equivalent parameters of EA-300 include: k1=7.28E+06, k2=-6.20E+06, k3=7.25E+06, m1=-0.33, m2=0.63, m3=0.18, f0=576, Z0=818;

[0049] The equivalent parameters of EA-400 include: k1=6.38E+06, k2=-6.30E+06, k3=6.35E+06, m1=-0.35, m2=0.77, m3=0.15, f0=501, Z0=676;

[0050] The equivalent parameters of E-40 include: k1=1.65E+06, k2=-1.16E+06, k3=2.29E+06, m1=0.20, m2=0.39, m3=0.10, f0=452, Z0=976;

[0051] The equivalent parameters of E-60 include: k1 = 2.23E+06, k2 = -3.48E+06, k3 = 3.07E+06, m1 = 0.15, m2 = 0.37, m3 = 0.04, f0 = 680, Z0 = 892;

[0052] The equivalent parameters of E-85 include: k1 = 2.57E+06, k2 = -7.93E+05, k3 = 3.53E+06, m1 = 0.21, m2 = 0.39, m3 = 0.12, f0 = 553, Z0 = 1314;

[0053] The equivalent parameters of E-120 include: k1=3.08E+06, k2=-1.33E+06, k3=4.29E+06, m1=0.33, m2=0.61, m3=0.10, f0=481, Z0=1650;

[0054] The equivalent parameters of E-160 include: k1=4.02E+06, k2=2.67E+06, k3=5.36E+06, m1=0.25, m2=0.23, m3=0.40, f0=809, Z0=1715;

[0055] The equivalent parameters of GJ-500D include: k1=3.67E+06, k2=-3.43E+06, k3=4.03E+06, m1=-2.12, m2=3.04, m3=0.19, f0=186, Z0=631;

[0056] The equivalent parameters of GJ-600D include: k1=5.14E+06, k2=-4.20E+06, k3=5.33E+06, m1=-2.90, m2=3.56, m3=0.06, f0=194, Z0=773;

[0057] The equivalent parameters of GZ-15 include: k1=3.24E+06, k2=-3.66E+06k3=3.43E+06, m1=-4.92, m2=5.75, m3=0.22, f0=122, Z0=362;

[0058] The equivalent parameters of JYQN-6000 include: k1=4.57E+06, k2=-4.16E+07, k3=5.06E+06, m1=-28.17, m2=68.07, m3=0.52, f0=59, Z0=708;

[0059] The equivalent parameters of JYQN-15000 include: k1=6.13E+06, k2=-2.34E+06, k3=6.16E+06, m1=-57.69, m2=62.58, m3=1.83, f0=50, Z0=1449;

[0060] The equivalent parameters of ZU-2700 include: k1=8.49E+07, k2=-4.21E+07, k3=8.69E+07, m1=7.33, m2=32.85, m3=19.48, f0=309, Z0=55187.

[0061] A further technical solution is that when the target vibration isolator belongs to the first type of typical vibration isolator, the fitting formula is used according to the equivalent parameters of the target vibration isolator. The target vibration isolator is calculated at f∈[f min , f max ] within the range of input impedance Z 11 (f), f min and f max All are frequency values.

[0062] A further technical solution is that when the target vibration isolator belongs to the second type of typical vibration isolator or does not belong to the typical vibration isolator, the fitting formula is used according to the equivalent parameters of the target vibration isolator. The target vibration isolator is calculated at f∈[f min , f max ] within the range of input impedance Z 11 (f), f min and f max All are frequency values.

[0063] A further technical solution is that obtaining the mechanical impedance estimation result of the target vibration isolator also includes:

[0064] When the target vibration isolator belongs to the second type of typical vibration isolator or does not belong to the typical vibration isolator, the calculated input impedance Z of the target vibration isolator 11 (f) Perform local linear correction in the frequency range of f∈(f0-Δf1, f0+Δf2) to obtain the corrected input impedance Z′ 11 (f), the mechanical impedance estimation results of the target isolator include the transfer impedance Z 21 (f) and the corrected input impedance Z′ 11 (f), where Δf1 and Δf2 are two frequency spacing parameters.

[0065] A further technical solution is to obtain the corrected input impedance Z′ 11 The calculation formula of (f) is:

[0066]

[0067] Where Z0*(f)=min(Z0,Z 11 (f)).

[0068] A further technical solution is: Δf1=10 Hz, Δf2=100 Hz.

[0069] A further technical solution is to use a fitting formula according to the equivalent parameters of the target vibration isolator The target vibration isolator is calculated at f∈[f min , f max ] range of transfer impedance Z 21 (f), f min and f max All are frequency values.

[0070] The beneficial technical effects of this application are:

[0071] The present application discloses a method for estimating the mechanical impedance of a vibration isolator. The method directly gives the equivalent parameters of a typical vibration isolator and the calculation formula for the equivalent parameters of vibration isolators other than the typical vibration isolator, so that when the target vibration isolator to be estimated belongs to a typical vibration isolator, its equivalent parameters can be directly queried and determined, and when the target vibration isolator to be estimated does not belong to a typical vibration isolator, its equivalent parameters can be calculated based on the rated load and static stiffness. Then, the input impedance and transfer impedance of the target vibration isolator can be estimated using the equivalent parameters combined with the formula provided in the present application. The formula of the estimation method is simple and can provide key input data for vibration evaluation of the vibration isolation system. The estimation results of common marine vibration isolators are in good agreement with the test results, and have high estimation accuracy, which is suitable for calculation and evaluation in the design stage of the vibration isolation system. The mechanical impedance estimated by this method has high accuracy, is simple to implement, and is not limited by the type of vibration isolator, so it has a wide range of applications. BRIEF DESCRIPTION OF THE DRAWINGS

[0072] Figure 1 It is a method flow chart of a method for estimating mechanical impedance of a vibration isolator according to an embodiment of the present application.

[0073] Figure 2 This is a comparison chart of the estimated input impedance result obtained by the estimation method of the present application and the test result of the input impedance obtained by using the impedance platform test for the common BE-85 type vibration isolator.

[0074] Figure 3 This is a comparison chart of the estimated result of the transfer impedance obtained by the estimation method of the present application and the test result of the transfer impedance obtained by the impedance platform test for the common BE-85 type vibration isolator.

[0075] Figure 4 It is the estimated result of input impedance and transfer impedance obtained by using the estimation method of this application for the self-developed vibration isolator. DETAILED DESCRIPTION

[0076] The specific implementation of the present application is further described below in conjunction with the accompanying drawings.

[0077] This application discloses a method for estimating the mechanical impedance of a vibration isolator. Please refer to Figure 1 The method flow chart shown in the figure, the vibration isolator mechanical impedance estimation method includes:

[0078] Step 1: When the mechanical impedance of the target vibration isolator needs to be estimated, first determine whether the target vibration isolator is a typical vibration isolator. The typical vibration isolators referred to in this application are some commonly used models of vibration isolators. For various typical vibration isolators, this application pre-fits and gives the equivalent parameters of various typical vibration isolators.

[0079] The typical vibration isolators of the present application include the first type of typical vibration isolators and the second type of typical vibration isolators. The first type of typical vibration isolators include vibration isolators with models E-220, E-300 and E-400. The second type of typical vibration isolators include models BE-40, BE-60, BE-85, BE-120, BE-160, BE-220, BE-300, BE-400, 6JX-45, 6JX-70, 6JX-100, 6JX-200, 6JX-400, 6JX-1200, WH-400, WH-600, WH-800, WH-1200, JQ-60, JQ-120, JQ-400, JQ-850 , DZH-500, DZH-1500, 35000N, BSH-3500, EA-40, EA-60, EA-85, EA-120, EA-160, EA-220, EA-300, EA-4 00, E-40, E-60, E-85, E-120, E-160, GJ-500D, GJ-600D, GZ-15, JYQN-6000, JYQN-15000, ZU-2700 vibration isolator.

[0080] The equivalent parameters of the first type of typical vibration isolators include equivalent stiffness k1, equivalent stiffness k3, equivalent mass m1 and equivalent mass m3. The equivalent parameters of the second type of typical vibration isolators include equivalent stiffness k1, equivalent stiffness k2, equivalent stiffness k3, equivalent mass m1, equivalent mass m2, equivalent mass m3, the first extreme value Z0 of the input impedance, and the frequency f0 corresponding to the first extreme value of the input impedance. The unit of Z0 is N·m / s, and the unit of f0 is Hz.

[0081] The equivalent parameters of each typical vibration isolator provided in this application are shown in the following table:

[0082]

[0083]

[0084] Step 2: When the target vibration isolator is a typical vibration isolator and the corresponding equivalent parameters already exist, directly query and determine the equivalent parameters of the target vibration isolator. For example, when the target vibration isolator is a vibration isolator of model BE-85, directly query the above table to determine the equivalent parameters of the target vibration isolator.

[0085] Step 3: When the target vibration isolator is not a typical vibration isolator, according to the rated load P of the target vibration isolator n and static stiffness k st The equivalent parameters of the target vibration isolator are calculated. Among them, the rated load P n The unit is N, the static stiffness k st The unit is N / mm, the rated load P of the target vibration isolatorn and static stiffness k st This can be found in the model manual of the target vibration isolator.

[0086] When the target vibration isolator is not a typical vibration isolator, the calculated equivalent parameters of the target vibration isolator include equivalent stiffness k1, equivalent stiffness k2, equivalent stiffness k3, equivalent mass m1, equivalent mass m2, equivalent mass m3, the first extreme value Z0 of the input impedance, and the frequency f0 corresponding to the first extreme value of the input impedance. The calculation formula for the equivalent parameters of the target vibration isolator is:

[0087]

[0088] Step 4: Regardless of whether the target vibration isolator is a typical vibration isolator, after the equivalent parameters of the target vibration isolator are determined by the above method, the input impedance Z of the target vibration isolator is calculated using the fitting formula according to the equivalent parameters of the target vibration isolator. 11 (f) and transfer impedance Z 21 (f), thereby obtaining the estimated mechanical impedance of the target vibration isolator. Where f is the frequency and the unit is Hz.

[0089] As can be seen from the above introduction, when the target vibration isolator belongs to the first type of typical vibration isolator, it includes four equivalent parameters. When the target vibration isolator belongs to the second type of typical vibration isolator or does not belong to the typical vibration isolator, it includes eight equivalent parameters. The parameter contents of the equivalent parameters obtained in these two cases are different, so the methods for obtaining the mechanical impedance estimation results are also different, which are introduced as follows:

[0090] (1) Calculate the transfer impedance Z of the target vibration isolator 21 (f)

[0091] Regardless of whether the target vibration isolator belongs to the first type of typical vibration isolator, the second type of typical vibration isolator, or not a typical vibration isolator, the transfer impedance Z of the target vibration isolator is obtained. 21 The calculation method of (f) is the same, and the target vibration isolator is calculated according to the following formula (2) at f∈[f min , f max ] range of transfer impedance Z 21 (f):

[0092]

[0093] The calculated transfer impedance Z 21 The unit of (f) is N·s / m. min and f max The frequency value can be customized according to actual needs. According to the actual fitting situation, f min is 5Hz, take fmax is 1000Hz.

[0094] (2) Calculate the input impedance Z of the target vibration isolator 11 (f)

[0095] (a) When the target vibration isolator belongs to the first type of typical vibration isolator, the target vibration isolator is calculated according to the following formula (3) at f∈[f min , f max ] within the range of input impedance Z 11 (f):

[0096]

[0097] The calculated input impedance Z 11 The unit of (f) is N·s / m. Similarly, according to the actual fitting situation, the frequency range of formula (3) is taken as f min is 5Hz, take f max is 1000Hz.

[0098] In this case, the mechanical impedance estimation result of the target vibration isolator includes the transfer impedance Z calculated according to formula (2): 21 (f) and the input impedance Z calculated according to formula (3) 11 (f).

[0099] (b) When the target vibration isolator belongs to the second type of typical vibration isolator or does not belong to the typical vibration isolator, the target vibration isolator is calculated according to the following formula (5) at f∈[f min , f max ] within the range of input impedance Z 11 (f):

[0100]

[0101] Similarly, according to the actual fitting situation, the frequency range of formula (4) is taken as f min is 5Hz, take f max is 1000Hz.

[0102] In another embodiment, in this case, the input impedance Z calculated according to formula (4) is not directly 11 (f) is used as the mechanical impedance estimation result of the target vibration isolator, but further, the calculated input impedance Z of the target vibration isolator is 11 (f) Perform local linear correction in the frequency range of f∈(f0-Δf1, f0+Δf2) to obtain the corrected input impedance Z′ 11 (f).

[0103] When performing local linear correction, the corrected input impedance Z′ is obtained 11 The calculation formula of (f) is:

[0104]

[0105] Where Z0*(f)=min(Z0,Z 11 (f)), that is, the first extreme value Z0 of the input impedance of the target isolator and the input impedance Z calculated according to formula (4) 11 The smaller value in (f).

[0106] In this case, the mechanical impedance estimation result of the target isolator includes the transfer impedance Z obtained according to formula (2): 21 (f) and the corrected input impedance Z′ obtained according to formula (5) 11 (f), where Δf1 and Δf2 are two frequency interval parameters. According to the actual fitting situation, Δf1 = 10 Hz, Δf2 = 100 Hz. The corrected input impedance Z′ is calculated 11 The unit of (f) is N·s / m.

[0107] In order to illustrate the estimation accuracy of the vibration isolator mechanical impedance estimation method of the present application, the following example is used for data comparison. For the target vibration isolator of model BE-85, which belongs to the second type of typical vibration isolator, the equivalent parameters of the target vibration isolator are directly determined by looking up the table, including k1=8.10E+05, k2=-4.92E+05, k3=8.04E+05, m1=-0.23, m2=0.22, m3=0.02, f0=283, Z0=28. The corrected input impedance Z′ of the target vibration isolator is obtained according to formula (5): 11 The curve of (f) and its comparison with the input impedance test result obtained by experimental measurement are shown in Figure 2 As shown. According to formula (2), the transfer impedance Z 21 The curve of (f) and its comparison with the test results of the transfer impedance obtained by experimental measurement are shown in Figure 3 As shown. Figure 2 and Figure 3 It can be seen from the comparison results that the mechanical impedance estimation results obtained in this application are in good agreement with the experimental results.

[0108] In addition, the vibration isolator mechanical impedance estimation method of the present application has a wide range of applications and can be applied to vibration isolators of various models. For example, for a new target vibration isolator of model DY-30, which is not a typical vibration isolator, firstly, through the model manual, it is found that the rated load of the target vibration isolator is 30000N, and the static deformation under the rated load is about 20mm. After calculating its static stiffness as 1500N / mm, the equivalent parameters of the target vibration isolator are first calculated according to formula (1), and then the transfer impedance Z of the target vibration isolator is obtained according to formula (2): 21 (f) and the corrected input impedance Z′ of the target isolator obtained according to formula (5) 11 (f), and then the mechanical impedance estimation result curve of the target vibration isolator is obtained as shown in Figure 4 shown.

[0109] The above is only a preferred embodiment of the present application, and the present application is not limited to the above embodiments. It is understood that other improvements and changes directly derived or associated by those skilled in the art without departing from the spirit and concept of the present application should be considered to be included in the protection scope of the present application.

Claims

1. A method for estimating mechanical impedance of a vibration isolator, characterized in that: The vibration isolator mechanical impedance estimation method comprises: When the target vibration isolator is a typical vibration isolator, the equivalent parameters of the target vibration isolator are directly queried and determined; when the target vibration isolator is not a typical vibration isolator, the equivalent parameters of the target vibration isolator are directly queried and determined according to the rated load P of the target vibration isolator. n and static stiffness k st according to The equivalent parameters of the target vibration isolator obtained by calculation include equivalent stiffness k1, equivalent stiffness k2, equivalent stiffness k3, equivalent mass m1, equivalent mass m2, equivalent mass m3, the first extreme value Z0 of the input impedance, and the frequency f0 corresponding to the first extreme value of the input impedance; The input impedance Z of the target vibration isolator is calculated using a fitting formula according to the equivalent parameters of the target vibration isolator. 11 (f) and transfer impedance Z 21 (f), obtaining a mechanical impedance estimation result of the target vibration isolator, wherein f is the frequency.

2. The method for estimating mechanical impedance of a vibration isolator according to claim 1, characterized in that: Typical vibration isolators include the first type of typical vibration isolators and the second type of typical vibration isolators: The equivalent parameters of the first type of typical vibration isolators include equivalent stiffness k1, equivalent stiffness k3, equivalent mass m1 and equivalent mass m3; the first type of typical vibration isolators include vibration isolators of models E-220, E-300 and E-400; The equivalent parameters of the second type of typical vibration isolators include equivalent stiffness k1, equivalent stiffness k2, equivalent stiffness k3, equivalent mass m1, equivalent mass m2, equivalent mass m3, the first extreme value Z0 of input impedance, and the frequency f0 corresponding to the first extreme value of input impedance; the second type of typical vibration isolators include models BE-40, BE-60, BE-85, BE-120, BE-160, BE-220, BE-300, BE-400, 6JX-45, 6JX-70, 6JX-100, 6JX-200, 6JX-400, 6JX-1200, WH-400, WH-6 00, WH-800, WH-1200, JQ-60, JQ-120, JQ-400, JQ-850, DZH-500, DZH-1500, 35000N, BSH-3500, EA-40, EA-60, EA-85, EA-120, EA- 160, EA-220, EA-300, EA-400, E-40, E-60, E-85, E-120, E-160, GJ-500D, GJ-600D, GZ-15, JYQN-6000, JYQN-15000, ZU-2700 vibration isolators.

3. The method for estimating mechanical impedance of a vibration isolator according to claim 2, characterized in that: The equivalent parameters of various first-class typical vibration isolators are: The equivalent parameters of E-220 include: k1=3.95E+07, k3=4.01E+07, m1=-0.80, m3=-0.11; The equivalent parameters of E-300 include: k1=4.88E+07, k3=4.87E+07, m1=-0.55, m3=0.34; The equivalent parameters of E-400 include: k1=1.33E+08, k3=1.33E+08, m1=-0.78, m3=0.

12.

4. The method for estimating mechanical impedance of a vibration isolator according to claim 2, characterized in that: The equivalent parameters of various typical second-class vibration isolators are: The equivalent parameters of BE-40 include: k1=2.75E+05, k2=2.03E+05, k3=2.74E+05, m1=-0.57, m2=0.44, m3=0.01, f0=107, Z0=34; The equivalent parameters of BE-60 include: k1=4.48E+05, k2=-3.09E+05, k3=4.45E+05, m1=-0.64, m2=0.71, m3=0.02, f0=127, Z0=52; The equivalent parameters of BE-85 include: k1=8.10E+05, k2=-4.92E+05, k3=8.04E+05, m1=-0.23, m2=0.22, m3=0.02, f0=283, Z0=28; The equivalent parameters of BE-120 include: k1=6.79E+05, k2=-4.37E+05, k3=6.77E+05, m1=-0.36, m2=0.37, m3=0.03, f0=207, Z0=38; The equivalent parameters of BE-160 include: k1=1.18E+06, k2=-9.10E+05, k3=1.21E+06, m1=-0.36, m2=0.37, m3=0.02, f0=275, Z0=29; The equivalent parameters of BE-220 include: k1=1.62E+06, k2=-9.06E+05, k3=1.67E+06, m1=-0.45, m2=0.43, m3=0.03, f0=285, Z0=77; The equivalent parameters of BE-300 include: k1=9.50E+05, k2=-1.05E+06, k3=9.43E+05, m1=-0.63, m2=0.75, m3=0.04, f0=189, Z0=42; The equivalent parameters of BE-400 include: k1 = 2.33E+06, k2 = -2.68E+06, k3 = 2.34E+06, m1 = -0.80, m2 = 1.10, m3 = 0.10, f0 = 250, Z0 = 176; The equivalent parameters of 6JX-45 include: k1=1.82E+06, k2=-9.85E+05, k3=1.92E+06, m1=-5.64, m2=9.40, m3=0.13, f0=75, Z0=1497; The equivalent parameters of 6JX-70 include: k1=1.83E+05, k2=-1.88E+05, k3=1.86E+05, m1=-0.51, m2=0.71, m3=0.02, f0=86, Z0=70; The equivalent parameters of 6JX-100 include: k1=3.37E+05, k2=-7.29E+05, k3=3.47E+05, m1=-0.47, m2=0.95, m3=0.04, f0=113, Z0=138; The equivalent parameters of 6JX-200 include: k1=3.75E+05, k2=-4.85E+05, k3=3.88E+05, m1=-0.45, m2=0.98, m3=0.09, f0=113, Z0=199; The equivalent parameters of 6JX-400 include: k1=6.00E+05, k2=-4.46E+05, k3=6.41E+05, m1=-2.12, m2=2.93, m3=0.07, f0=76, Z0=272; The equivalent parameters of 6JX-1200 include: k1=1.82E+06, k2=-9.85E+05, k3=1.92E+06, m1=-5.64, m2=9.40, m3=0.13, f0=75, Z0=1497; The equivalent parameters of WH-400 include: k1=8.41E+05, k2=-8.24E+05, k3=8.78E+05, m1=-0.44, m2=1.03, m3=0.06, f0=162, Z0=429; The equivalent parameters of WH-600 include: k1=1.80E+06, k2=-1.36E+06, k3=1.90E+06, m1=-3.42, m2=3.86, m3=0.35, f0=110, Z0=197; The equivalent parameters of WH-800 include: k1=2.23E+06, k2=-1.56E+06, k3=2.33E+06, m1=-3.60, m2=6.63, m3=0.38, f0=102, Z0=1393; The equivalent parameters of WH-1200 include: k1=2.63E+06, k2=-2.93E+06, k3=2.85E+06, m1=-4.64, m2=8.56, m3=0.12, f0=97, Z0=1716; The equivalent parameters of JQ-60 include: k1=1.54E+05, k2=-1.16E+06, k3=1.61E+05, m1=0.03, m2=0.48, m3=0.04, f0=186, Z0=151; The equivalent parameters of JQ-120 include: k1=2.82E+05, k2=-1.32E+06, k3=1.61E+05, m1=0.01, m2=0.48, m3=0.04, f0=218, Z0=196; The equivalent parameters of JQ-400 include: k1=1.48E+06, k2=-3.67E+06, k3=1.53E+06, m1=-0.08, m2=0.63, m3=0.11, f0=369, Z0=334; The equivalent parameters of JQ-850 include: k1=3.35E+06, k2=-4.24E+06, k3=3.53E+06, m1=-1.87, m2=3.86, m3=0.49, f0=170, Z0=1153; The equivalent parameters of DZH-500 include: k1=7.25E+05, k2=-7.92E+05, k3=7.60E+05, m1=-1.76, m2=2.17, m3=0.12, f0=95, Z0=105; The equivalent parameters of DZH-1500 include: k1=4.74E+06, k2=-1.38E+07, k3=4.80E+06, m1=-6.14, m2=10.37, m3=0.29, f0=134, Z0=431; The equivalent parameters of 35000N include: k1=7.82E+07, k2=-1.42E+08, k3=8.66E+07, m1=-19.17, m2=38.26, m3=3.20, f0=278, Z0=3557; The equivalent parameters of BSH-3500 include: k1=2.10E+07, k2=3.17E+06, k3=2.21E+07, m1=18.71, m2=18.58, m3=6.27, f0=230, Z0=32136; The equivalent parameters of EA-40 include: k1=1.56E+06, k2=-1.17E+06, k3=1.59E+06, m1=-0.23, m2=0.31, m3=0.04, f0=364, Z0=157; The equivalent parameters of EA-60 include: k1 = 2.00E+06, k2 = -1.14E+06, k3 = 2.01E+06, m1 = -0.08, m2 = 0.08, m3 = 0.06, f0 = 673, Z0 = 97; The equivalent parameters of EA-85 include: k1=1.93E+06, k2=-2.28E+06, k3=1.95E+06, m1=-0.19, m2=0.34, m3=0.07, f0=431, Z0=202; The equivalent parameters of EA-120 include: k1=2.15E+06, k2=-1.93E+06, k3=2.16E+06, m1=-0.21, m2=0.36, m3=0.10, f0=405, Z0=222; The equivalent parameters of EA-160 include: k1=6.64E+06, k2=-7.36E+06, k3=6.78E+06, m1=-0.25, m2=0.39, m3=0.06, f0=712, Z0=240; The equivalent parameters of EA-220 include: k1=5.66E+06, k2=-4.48E+06, k3=5.78E+06, m1=-0.37, m2=0.37, m3=0.14, f0=581, Z0=203; The equivalent parameters of EA-300 include: k1=7.28E+06, k2=-6.20E+06, k3=7.25E+06, m1=-0.33, m2=0.63, m3=0.18, f0=576, Z0=818; The equivalent parameters of EA-400 include: k1=6.38E+06, k2=-6.30E+06, k3=6.35E+06, m1=-0.35, m2=0.77, m3=0.15, f0=501, Z0=676; The equivalent parameters of E-40 include: k1=1.65E+06, k2=-1.16E+06, k3=2.29E+06, m1=0.20, m2=0.39, m3=0.10, f0=452, Z0=976; The equivalent parameters of E-60 include: k1 = 2.23E+06, k2 = -3.48E+06, k3 = 3.07E+06, m1 = 0.15, m2 = 0.37, m3 = 0.04, f0 = 680, Z0 = 892; The equivalent parameters of E-85 include: k1 = 2.57E+06, k2 = -7.93E+05, k3 = 3.53E+06, m1 = 0.21, m2 = 0.39, m3 = 0.12, f0 = 553, Z0 = 1314; The equivalent parameters of E-120 include: k1=3.08E+06, k2=-1.33E+06, k3=4.29E+06, m1=0.33, m2=0.61, m3=0.10, f0=481, Z0=1650; The equivalent parameters of E-160 include: k1=4.02E+06, k2=2.67E+06, k3=5.36E+06, m1=0.25, m2=0.23, m3=0.40, f0=809, Z0=1715; The equivalent parameters of GJ-500D include: k1=3.67E+06, k2=-3.43E+06, k3=4.03E+06, m1=-2.12, m2=3.04, m3=0.19, f0=186, Z0=631; The equivalent parameters of GJ-600D include: k1=5.14E+06, k2=-4.20E+06, k3=5.33E+06, m1=-2.90, m2=3.56, m3=0.06, f0=194, Z0=773; The equivalent parameters of GZ-15 include: k1=3.24E+06, k2=-3.66E+06k3=3.43E+06, m1=-4.92, m2=5.75, m3=0.22, f0=122, Z0=362; The equivalent parameters of JYQN-6000 include: k1=4.57E+06, k2=-4.16E+07, k3=5.06E+06, m1=-28.17, m2=68.07, m3=0.52, f0=59, Z0=708; The equivalent parameters of JYQN-15000 include: k1=6.13E+06, k2=-2.34E+06, k3=6.16E+06, m1=-57.69, m2=62.58, m3=1.83, f0=50, Z0=1449; The equivalent parameters of ZU-2700 include: k1=8.49E+07, k2=-4.21E+07, k3=8.69E+07, m1=7.33, m2=32.85, m3=19.48, f0=309, Z0=55187.

5. The method for estimating mechanical impedance of a vibration isolator according to claim 2, characterized in that: When the target vibration isolator belongs to the first type of typical vibration isolator, the equivalent parameters of the target vibration isolator are used to fit the formula The target vibration isolator is calculated to be min , f max ] within the range of input impedance Z 11 (f), f min and f max All are frequency values.

6. The method for estimating mechanical impedance of a vibration isolator according to claim 2, characterized in that: When the target vibration isolator belongs to the second type of typical vibration isolator or does not belong to the typical vibration isolator, the equivalent parameters of the target vibration isolator are used to fit the formula The target vibration isolator is calculated to be min , f max ] within the range of input impedance Z 11 (f), f min and f max All are frequency values.

7. The method for estimating mechanical impedance of a vibration isolator according to claim 6, characterized in that: Obtaining the mechanical impedance estimation result of the target vibration isolator also includes: When the target vibration isolator belongs to the second type of typical vibration isolator or does not belong to the typical vibration isolator, the calculated input impedance Z of the target vibration isolator is 11 (f) Perform local linear correction in the frequency range of f∈(f0-Δf1, f0+Δf2) to obtain the corrected input impedance Z′ 11 (f), the mechanical impedance estimation result of the target vibration isolator includes the transfer impedance Z 21 (f) and the corrected input impedance Z′ 11 (f), where Δf1 and Δf2 are two frequency spacing parameters.

8. The method for estimating mechanical impedance of a vibration isolator according to claim 7, characterized in that: The calculation formula of the corrected input impedance Z′11(f) is: Among them, Z0 * (f) = min(Z0, Z 11 (f)).

9. The method for estimating mechanical impedance of a vibration isolator according to claim 7, characterized in that: Δf1=10Hz, Δf2=100Hz.

10. The method for estimating mechanical impedance of a vibration isolator according to claim 2, characterized in that: According to the equivalent parameters of the target vibration isolator, the fitting formula is used The target vibration isolator is calculated to be min , f max ] range of transfer impedance Z 21 (f), f min and f max All are frequency values.

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