Conversion method of equipment vibration parameters under different installation states

Abstract

This invention provides a method for converting equipment vibration parameters under different installation conditions, relating to the field of equipment vibration and noise testing and analysis technology. The conversion method includes obtaining the equipment's foot admittance; obtaining the origin admittance at the input end of each vibration isolator, the origin admittance at the output end of the vibration isolator, the transmitted admittance at the input end of the vibration isolator, and the transmitted admittance at the output end of the vibration isolator; obtaining the equipment's free velocity; obtaining the actual mounting base admittance; and calculating the vibration parameters of the equipment mounted on the actual mounting base based on the free velocity, foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmitted admittance at the input end of the vibration isolator, transmitted admittance at the output end of the vibration isolator, and the actual mounting base admittance. In this application, considering the invariance of the free velocity of the equipment installed in different environments, a conversion relationship of the excitation force of the equipment on different bases is established, and the required results are calculated, achieving accurate prediction of the excitation characteristics of the equipment under different installation environments.

Description

Technical Field

[0001] This invention relates to the field of equipment vibration and noise testing and analysis technology, and more specifically, to a method for converting equipment vibration parameters under different installation conditions. Background Technology

[0002] Mechanical equipment is a significant source of vibration and noise in engineering projects. Its vibration can have adverse effects on the surrounding environment, such as reducing system stability and reducing personnel comfort. Therefore, many engineering projects have put forward control requirements for the vibration of mechanical equipment.

[0003] Currently, the evaluation of mechanical equipment vibration mainly involves vibration testing conducted on a standard test bench at the factory stage to obtain the equipment's vibration characteristics. However, the vibration characteristics of mechanical equipment are closely related to its installation environment. Different installation environments will result in different vibration characteristics due to varying boundary conditions. Therefore, the factory vibration test results cannot directly reflect the vibration characteristics of the equipment after it is installed in the actual operating environment, which may pose certain safety hazards.

[0004] Therefore, in order to accurately obtain the vibration characteristics of mechanical equipment in the actual installation environment, how to propose a method for converting equipment vibration parameters under different installation conditions has become an urgent technical problem to be solved. Summary of the Invention

[0005] In view of this, the present invention provides a measurement method that can accurately obtain the vibration characteristics of mechanical equipment in actual installation environment.

[0006] Specifically, the present invention is achieved through the following technical solution:

[0007] According to a first aspect of the present invention, a method for converting equipment vibration parameters under different installation states is provided, comprising: placing the equipment in a free-suspension state, arranging an acceleration sensor on each foot of the equipment, and sequentially striking each foot with an excitation hammer to obtain the foot admittance of the equipment; obtaining the origin admittance at the input end of each vibration isolator, the origin admittance at the output end of the vibration isolator, the transmission admittance at the input end of the vibration isolator, and the transmission admittance at the output end of the vibration isolator; obtaining the free vibration velocity of the equipment; installing the equipment on an actual mounting base, and arranging an acceleration sensor at each mounting point of the actual mounting base, and sequentially striking each mounting point of the actual mounting base with an excitation hammer to obtain the actual mounting base admittance; and calculating the vibration parameters of the equipment installed on the actual mounting base based on the free vibration velocity, foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and actual mounting base admittance.

[0008] In some embodiments, the step of obtaining the free vibration velocity of the device includes: arranging an accelerometer at each mounting point of the standard base of the standard test bench, sequentially striking each mounting point of the standard base with an excitation hammer to obtain the standard base admittance; mounting the device on the standard base of the standard test bench; arranging a velocity sensor on each foot of the device, turning on the device, and obtaining the foot velocity of the device on the standard test bench; calculating the free vibration velocity of the device based on the standard base admittance, foot velocity, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and foot admittance.

[0009] In some embodiments, the free vibration velocity of the equipment is calculated based on the standard base admittance, machine foot velocity, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmitted admittance at the input end of the vibration isolator, transmitted admittance at the output end of the vibration isolator, and machine foot admittance, using the following formula:

[0010] K = (Y S +Y 11 )Y 21 -1 (Y R +Y 22 )-Y 12 ;

[0011] v0 = K[Y] 11 Y 21 -1 (Y R +Y 22 )-Y 12 ] -1 v1;

[0012] Where v0 represents the free vibration velocity of the device, Y 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y represents the transmit admittance at the output of the vibration isolator, v1 represents the speed of the machine feet on the standard test bench, and Y represents the speed of the machine feet on the test bench. R Y represents the standard base admittance. S The value represents the device's foot admittance, and K represents the transfer admittance matrix when the device is mounted on a standard base.

[0013] In some embodiments, the step of obtaining the free vibration velocity of the device includes: placing the device in a free suspension state, turning on the device, and directly measuring the free vibration velocity of the device.

[0014] In some embodiments, the step of obtaining the origin admittance at the input end of each isolator, the origin admittance at the output end of the isolator, the transfer admittance at the input end of the isolator, and the transfer admittance at the output end of the isolator includes: measuring the impedance parameters of the isolator; and using the impedance parameters to convert and obtain the origin admittance at the input end of the isolator, the origin admittance at the output end of the isolator, the transfer admittance at the input end of the isolator, and the transfer admittance at the output end of the isolator.

[0015] In some embodiments, the vibration parameters include at least one of the following: the vibration velocity at the upper end of the vibration isolator on the actual mounting base, the excitation force at the upper end of the vibration isolator on the actual mounting base, the vibration velocity at the mounting point at the lower end of the vibration isolator on the actual mounting base, and the excitation force at the lower end of the vibration isolator on the actual mounting base.

[0016] In some embodiments, the vibration velocity of the upper end of the vibration isolator on the actual mounting base is calculated based on the free vibration velocity, the machine foot admittance, the origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transmission admittance at the input end of the vibration isolator, the transmission admittance at the output end of the vibration isolator, and the actual mounting base admittance, using the following formula:

[0017] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0018] v′1=[Y 11 Y 21 -1 (Y′ R +Y 22 )-Y 12 [K′] -1 v0;

[0019] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R V represents the actual admittance of the mounting base; v′1 represents the vibration velocity of the machine foot at the upper end of the vibration isolator on the actual mounting base.

[0020] In some embodiments, the excitation force at the upper end of the vibration isolator on the actual mounting base is calculated based on the free vibration velocity, machine foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and actual mounting base admittance, using the following formula:

[0021] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0022] F′1=Y 21 -1 (Y′ R +Y 22 [K'] -1 v0;

[0023] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R F'1 represents the actual admittance of the mounting base; F'1 represents the excitation force at the upper end of the vibration isolator on the actual mounting base.

[0024] In some embodiments, the vibration velocity at the mounting point of the vibration isolator at the lower end of the actual mounting base is calculated based on the free vibration velocity, the machine foot admittance, the origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transmitted admittance at the input end of the vibration isolator, the transmitted admittance at the output end of the vibration isolator, and the actual mounting base admittance, using the following formula:

[0025] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0026] v′2=Y′ R [K′] -1 v0;

[0027] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y SY represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R v'2 represents the actual admittance of the mounting base; v'2 represents the vibration velocity at the mounting point at the lower end of the vibration isolator on the actual mounting base.

[0028] In some embodiments, the excitation force at the lower end of the vibration isolator on the actual mounting base is calculated based on the free vibration velocity, machine foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and actual mounting base admittance, using the following formula:

[0029] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0030] F′2=-[K′] -1 v0;

[0031] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R F'2 represents the actual admittance of the mounting base; F'2 represents the excitation force at the lower end of the vibration isolator on the actual mounting base.

[0032] The technical solution provided by this invention brings at least the following beneficial effects: Considering the invariance of the free vibration velocity of equipment installed in different environments, i.e., on different bases, this application establishes a conversion relationship between the excitation force, machine foot vibration, and standard test bench on different bases. This provides a relatively complete and feasible conversion scheme for measuring equipment vibration parameters. The required results can be calculated using relevant intermediate data without directly measuring the equipment vibration parameters, thus enabling accurate prediction of the excitation characteristics (vibration parameters) of mechanical equipment under different installation environments. Furthermore, based on traditional standard test bench testing, only the free suspension test of the mechanical equipment and the admittance test of the actual installation base are added to predict the vibration characteristics of the mechanical equipment in the actual installation environment. This method is simple to operate and provides good prediction results. Attached Figure Description

[0033] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with the invention and, together with the description, serve to explain the principles of the invention.

[0034] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or related technologies will be briefly introduced below. Obviously, those skilled in the art can obtain other drawings based on these drawings without creative effort.

[0035] Figure 1 This is one of the flowcharts illustrating the method for converting equipment vibration parameters under different installation states provided in an embodiment of the present invention.

[0036] Figure 2 This is the second flowchart illustrating the method for converting equipment vibration parameters under different installation states provided in this embodiment of the invention.

[0037] Figure 3 This is a schematic diagram of a mechanical equipment vibration isolation system provided in an embodiment of the present invention;

[0038] Figure 4 This is one of the comparison charts between the calculated and measured values ​​of the free vibration velocity v0 provided in an embodiment of the present invention;

[0039] Figure 5 The second comparison chart of the calculated and measured values ​​(one-third octave band) of the free vibration velocity v0 provided in the embodiments of the present invention;

[0040] Figure 6 This is a comparison chart of the predicted and measured values ​​of the excitation force F′1 at the upper end of the vibration isolator provided in an embodiment of the present invention. Detailed Implementation

[0041] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0042] See Figure 1 This invention provides a method for converting equipment vibration parameters under different installation conditions, including the following steps:

[0043] S102. Place the equipment in a free-suspension state, arrange acceleration sensors on each foot of the equipment, and use an excitation hammer to strike each foot in sequence to obtain the foot admittance of the equipment.

[0044] S104. Obtain the origin admittance at the input end of each vibration isolator, the origin admittance at the output end of each vibration isolator, the transfer admittance at the input end of each vibration isolator, and the transfer admittance at the output end of each vibration isolator.

[0045] S106. Obtain the free vibration velocity of the equipment.

[0046] S108. Arrange acceleration sensors at each mounting point of the actual mounting base, and use an excitation hammer to strike each mounting point of the actual mounting base in sequence to obtain the admittance of the actual mounting base.

[0047] S110. Calculate the vibration parameters of the equipment installed on the actual mounting base based on the free vibration velocity, machine foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and actual mounting base admittance.

[0048] According to the present invention, a method for converting equipment vibration parameters under different installation conditions is provided. The equipment includes mechanical equipment, and a common mechanical equipment vibration isolation system consists of three parts: mechanical equipment, vibration isolation device, and base. The mechanical equipment acts as a vibration source, and the excitation generated is transmitted to the vibration isolation device through the contact point between the mechanical equipment and the vibration isolation device, and then to the base structure through the contact point between the vibration isolation device and the base, causing the base structure to vibrate. By obtaining the equipment's foot admittance, various admittances of the vibration isolator, the equipment's free vibration velocity, and the actual installation base admittance, the vibration parameters of the equipment can be calculated based on these acquired data. In the scheme of this application, considering the invariance of the free vibration velocity of the equipment when it is installed in different environments, i.e., on different bases, a conversion relationship between the excitation force of the equipment on different bases and the standard test bench is established. This provides a relatively complete and feasible conversion scheme for measuring equipment vibration parameters. The required results can be calculated with the help of relevant intermediate data without directly measuring the equipment vibration parameters, thereby achieving accurate prediction of the excitation characteristics (vibration parameters) of mechanical equipment under different installation environments. Meanwhile, based on traditional standard bench testing, by simply adding free suspension testing of mechanical equipment and admittance testing of the actual installation base, the vibration characteristics of mechanical equipment in the actual installation environment can be predicted. The operation is simple and the prediction effect is good.

[0049] In some embodiments, such as Figure 2 As shown, step S106, the step of obtaining the free vibration velocity of the device, includes:

[0050] S202. Arrange acceleration sensors at each mounting point of the standard base of the standard test bench, and use an excitation hammer to strike each mounting point of the standard base in sequence to obtain the standard base admittance.

[0051] S204. Install the equipment on the standard base of the standard stand.

[0052] S206. Install speed sensors on each foot of the equipment, turn on the equipment, and obtain the foot speed of the equipment on the standard bench.

[0053] S208. Calculate the free vibration velocity of the equipment based on the standard base admittance, machine foot velocity, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and machine foot admittance.

[0054] In this embodiment, by placing accelerometers at each mounting point of the standard base and then sequentially striking each mounting point with an excitation hammer, the admittance of the standard base can be obtained. Next, the device is mounted on the standard base of a standard test bench. The standard test bench is a standard platform used by the manufacturer for testing the device at the factory. By placing velocity sensors on each foot of the device, the foot velocities of the device on the standard test bench can be obtained when the device is turned on. Then, based on these data, the free vibration velocity of the device is calculated according to a specific formula. This makes the acquisition of free vibration velocity more concrete and operable, improving the accuracy and repeatability of free vibration velocity measurement, and laying a more reliable foundation for the subsequent accurate calculation of device vibration parameters.

[0055] In some embodiments, the free vibration velocity of the equipment is calculated based on the standard base admittance, machine foot velocity, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmitted admittance at the input end of the vibration isolator, transmitted admittance at the output end of the vibration isolator, and machine foot admittance, using the following formula:

[0056] K = (Y S +Y 11 )Y 21 -1 (Y R +Y 22 )-Y 12 ;

[0057] v0 = K[Y] 11 Y 21 - 1 (Y R +Y 22 )-Y 12 ] -1 v1;

[0058] Where v0 represents the free vibration velocity of the device, Y 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y represents the transmit admittance at the output of the vibration isolator, v1 represents the machine foot speed on the standard test bench, and Y represents the transmit admittance at the output of the vibration isolator. R Y represents the standard base admittance. S The value represents the device's foot admittance, and K represents the transfer admittance matrix when the device is mounted on a standard base.

[0059] In some embodiments, the step of obtaining the free vibration velocity of the device includes: placing the device in a free suspension state, turning on the device, and directly measuring the free vibration velocity of the device.

[0060] This embodiment provides a method for obtaining the free vibration velocity of a device. The device can be a small device, which can be directly activated and measured while in a free-suspension state. An accelerometer can be used to measure the acceleration of the device's vibration, and then the velocity signal can be obtained by integration. Alternatively, a laser Doppler vibration meter can be used for direct measurement. This application increases the flexibility and applicability of the method for measuring the free vibration velocity of a device, so as to better adapt to various different mechanical devices and measurement scenarios.

[0061] In some embodiments, the step of obtaining the origin admittance at the input end of each isolator, the origin admittance at the output end of the isolator, the transfer admittance at the input end of the isolator, and the transfer admittance at the output end of the isolator includes: measuring the impedance parameters of the isolator; and using the impedance parameters to convert and obtain the origin admittance at the input end of the isolator, the origin admittance at the output end of the isolator, the transfer admittance at the input end of the isolator, and the transfer admittance at the output end of the isolator.

[0062] In this embodiment, the input end of the vibration isolator refers to the end where vibration is transmitted into the isolator, and the origin admittance refers to the relationship between the response (output vibration) and the excitation at the excitation (input vibration) point. The input end of the vibration isolator is the end that transmits vibration, i.e., the end where the vibration is input. The transmission admittance at the input end of the vibration isolator is a physical quantity that measures the relationship between the input excitation force and the vibration response at the output position of the vibration isolator at the input position. The transmission admittance at the output end of the vibration isolator refers to the relationship between the output vibration response (such as displacement, velocity, or acceleration) and the excitation force applied at the input end of the vibration isolator at the output side. By measuring the impedance parameters of the vibration isolator and using them to convert and obtain the required admittance, the acquisition method of the relevant admittance of the vibration isolator becomes clearer and more explicit, providing an accurate data source for subsequent calculation of equipment vibration parameters based on these admittance data, ensuring the data integrity and accuracy of the entire conversion method.

[0063] In some embodiments, the vibration parameters include at least one of the following: the vibration velocity at the upper end of the vibration isolator on the actual mounting base, the excitation force at the upper end of the vibration isolator on the actual mounting base, the vibration velocity at the mounting point at the lower end of the vibration isolator on the actual mounting base, and the excitation force at the lower end of the vibration isolator on the actual mounting base.

[0064] In this embodiment, the upper end of the vibration isolator on the actual mounting base is the end closest to the equipment, and the lower end of the vibration isolator on the mounting base is the end closest to the actual mounting base. The vibration velocity of the machine foot at the upper end of the vibration isolator on the actual mounting base is the vibration velocity of the machine foot of the equipment, and the vibration velocity of the mounting point at the lower end of the vibration isolator on the actual mounting base is the vibration velocity of the mounting point of the vibration isolator.

[0065] In some embodiments, the vibration velocity of the upper end of the vibration isolator on the actual mounting base is calculated based on the free vibration velocity, the machine foot admittance, the origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transmission admittance at the input end of the vibration isolator, the transmission admittance at the output end of the vibration isolator, and the actual mounting base admittance, using the following formula:

[0066] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0067] v′1=[Y 11 Y 21 -1 (Y′ R +Y 22 )-Y 12 [K′] -1 v0;

[0068] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R V represents the actual admittance of the mounting base; v′1 represents the vibration velocity of the machine foot at the upper end of the vibration isolator on the actual mounting base.

[0069] In some embodiments, the excitation force at the upper end of the vibration isolator on the actual mounting base is calculated based on the free vibration velocity, machine foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and actual mounting base admittance, using the following formula:

[0070] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0071] F′1=Y 21 -1 (Y′ R +Y 22 [K']-1 v0;

[0072] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R F'1 represents the actual admittance of the mounting base; F'1 represents the excitation force at the upper end of the vibration isolator on the actual mounting base.

[0073] In some embodiments, the vibration velocity at the mounting point of the vibration isolator at the lower end of the actual mounting base is calculated based on the free vibration velocity, the machine foot admittance, the origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transmitted admittance at the input end of the vibration isolator, the transmitted admittance at the output end of the vibration isolator, and the actual mounting base admittance, using the following formula:

[0074] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0075] v′2=Y′ R [K′] -1 v0;

[0076] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R v'2 represents the actual admittance of the mounting base; v'2 represents the vibration velocity at the mounting point at the lower end of the vibration isolator on the actual mounting base.

[0077] In some embodiments, the excitation force at the lower end of the vibration isolator on the actual mounting base is calculated based on the free vibration velocity, machine foot admittance, origin admittance at the input end of the vibration isolator, origin admittance at the output end of the vibration isolator, transmission admittance at the input end of the vibration isolator, transmission admittance at the output end of the vibration isolator, and actual mounting base admittance, using the following formula:

[0078] K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ;

[0079] F2′=-[K′] -1 v0;

[0080] Where K′ represents the transfer admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the equipment. 11 Y represents the origin admittance at the input of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the equipment, and Y′ represents the free admittance at the output of the vibration isolator. R F'2 represents the actual admittance of the mounting base; F'2 represents the excitation force at the lower end of the vibration isolator on the actual mounting base.

[0081] The following specific embodiment will be used to further illustrate the conversion method of equipment vibration parameters under different installation states in this application.

[0082] Mechanical equipment is a significant source of vibration and noise in engineering projects. Its vibration can have adverse effects on the surrounding environment, such as reducing system stability and reducing personnel comfort. Therefore, many engineering projects have put forward control requirements for the vibration of mechanical equipment.

[0083] Currently, the evaluation of mechanical equipment vibration mainly involves conducting vibration tests on a standard test bench at the factory stage to obtain the equipment's vibration characteristics. However, the vibration characteristics of mechanical equipment are closely related to its installation environment. Different installation environments will result in different vibration characteristics due to varying boundary conditions. Therefore, the factory vibration test results cannot directly reflect the vibration characteristics of the equipment after installation in the actual operating environment. Instead, it is necessary to perform theoretical conversions to transform the test results from the standard test bench to the actual installation state, obtaining vibration data after the equipment is installed, in order to promptly identify vibration problems and eliminate potential hazards.

[0084] A typical mechanical equipment vibration isolation system consists of three parts: the mechanical equipment, the vibration isolation device, and the base. The mechanical equipment acts as the vibration source, and the excitation it generates is transmitted to the vibration isolation device through the contact point between the mechanical equipment and the vibration isolation device, and then to the base structure through the contact point between the vibration isolation device and the base, causing the base structure to vibrate.

[0085] Currently, there is limited research on methods for converting the excitation characteristics of mechanical equipment. Traditional methods for predicting the vibration response of mechanical equipment isolation systems often use substructure methods based on frequency response functions for modeling. The basic principle is to use the frequency response function of a single uncoupled component to construct the overall system response through impedance or admittance equations. However, due to the lack of modeling of the mechanical equipment, it is difficult to predict the excitation characteristics of the mechanical equipment under different installation environments.

[0086] In addition, there are usually multiple contact points between mechanical equipment, vibration isolators, and bases. Traditional modeling methods generally ignore the coupling between these contact points, which can lead to a decrease in the accuracy of high-frequency forecasts.

[0087] The technical problem to be solved in this application;

[0088] The main technical problem solved by this intellectual property achievement is: to develop a universal method for converting the excitation characteristics of mechanical equipment that considers multi-point coupling, enabling high-precision prediction of the vibration characteristics of mechanical equipment under different installation environments, specifically including:

[0089] (1) Traditional substructure methods lack modeling of mechanical equipment, resulting in incomplete modeling of the vibration isolation system, lack of versatility, and inability to predict the excitation characteristics of mechanical equipment under different installation environments. How to describe the excitation characteristics of mechanical equipment in the model and predict its changes under different installation environments is one of the key technical problems to be solved by this intellectual property.

[0090] (2) In the existing modeling of mechanical equipment vibration isolation system, the coupling effect between multiple installation points is ignored, which leads to a decrease in the accuracy of high frequency prediction. In this work, the influence of multi-point coupling is considered by testing the cross-point transfer function between multiple points in the model.

[0091] The key technical points of this application are:

[0092] (1) Conversion test conditions

[0093] 1) Point contact assumption. A typical mechanical equipment vibration isolation system consists of mechanical equipment, vibration isolators, and a base, such as... Figure 3 As shown. The mechanical equipment has n feet, which are mounted on a base via n vibration isolators. The maximum size of the contact area between the equipment, vibration isolators, and base structure is much smaller than the vibration wavelength. Therefore, the joints (support points) between the vibration isolators and the equipment / base can be treated as point contact below 1 kHz.

[0094] 2) Ensure that the equipment operating conditions are consistent before and after the conversion for the conversion to be effective.

[0095] 3) This conversion method is applicable to flexible installation or flexible suspension equipment.

[0096] 4) For equipment with piping, the inlet and outlet of the equipment are usually flexible pipes, so the influence of the piping can be ignored; for piping that cannot be ignored, the piping can be considered as an additional impedance, and the impedance of the piping can be combined into the impedance of the vibration isolator.

[0097] (2) The conversion relationship between equipment excitation force and vibration velocity

[0098] 1) Equipment excitation model

[0099] Based on electromechanical analogy, the response speed v1 of the machine foot of a mechanical device is expressed as:

[0100] v1 = v0 - Y S F1; (1)

[0101] Where v1, v0 and F1 are n×1 vectors.

[0102] v1 represents the device pin response speed:

[0103] v0 represents the free vibration velocity of the equipment feet.

[0104] F1 represents the force exerted by the equipment feet on the vibration isolator.

[0105] Y S The device foot admittance matrix is ​​expressed as follows:

[0106] 2) Base response model

[0107] The speed at the base mounting point is expressed as:

[0108] v2 = -Y R F2; (2)

[0109] Where v2 and F2 are vectors, v2 is the base response velocity, and F2 is the force exerted by the vibration isolator on the base.

[0110]

[0111] Among them, Y R For the base admittance matrix:

[0112]

[0113] 3) Vibration isolator transmission model

[0114] For general equipment, vibration isolators are of the same model. The velocities at the upper and lower ends of the vibration isolator can be expressed as:

[0115] v1 = Y 11 F1+Y 12 F2; (3)

[0116] v2 = Y 21 F1+Y 22 F2; (4)

[0117] Where Y 11 Y 12 Y 21 and Y 22 Y is a diagonal matrix 11 It is expressed as follows:

[0118]

[0119] Among them, Y1 i 1 represents the origin admittance at the input terminal of the i-th vibration isolator. For example: This is the origin admittance at the input terminal of the nth vibration isolator.

[0120] Similarly, This represents the origin admittance at the output of the i-th vibration isolator; This represents the transfer admittance between the input and output terminals of the i-th vibration isolator.

[0121] 4) The conversion relationship between motivation and speed

[0122] The relationship between the equipment foot response speed v1, the base response speed v2, and the equipment foot free vibration velocity v0 can be derived from the above formulas:

[0123] v1 = [Y 11 Y 21 -1 (Y R +Y 22 )-Y 12 ]K -1 v0; (5)

[0124] v2 = Y R K -1 v0; (6)

[0125] Where, K = (Y S +Y 11 )Y 21 -1 (Y R +Y 22 )-Y 12 This is equivalent to the system's transfer admittance matrix.

[0126] According to equation (5), v0 can be calculated from the response speed v1 of the equipment foot, and v0 can serve as a bridge for relational conversion:

[0127] v0 = K[Y] 11 Y 21-1 (Y R +Y 22 )-Y 12 ] -1 v1; (7)

[0128] When the equipment is installed on other bases, the velocities and forces at the upper and lower ends of the vibration isolator on that base can be calculated by utilizing the invariance of the free vibration velocity v0, as shown in the following formula:

[0129]

[0130] Where, K′=(Y S +Y 11 )Y 21 -1 (Y′ R +Y 22 )-Y 12 ,Y′ R The mounting base admittance matrix is ​​defined by superscripts indicating parameters on the newly installed base, and so on.

[0131] Thus, the conversion relationship between excitation force and speed under different installation environments of equipment, which can be applied to actual engineering projects, has been established.

[0132] The following section details the conversion testing and forecasting methods:

[0133] Conversion test and forecasting method one:

[0134] 1) Suspend the mechanical equipment with ropes. In the free-suspension state of the mechanical equipment, place an acceleration sensor on each foot. Then, use a hammer to strike each foot in sequence to obtain the foot admittance Y. S .

[0135] 2) Arrange acceleration sensors at each mounting point on the base of the standard test bench for mechanical equipment, and strike each mounting point on the base with a hammer in sequence to obtain the test bench base admittance Y. R .

[0136] 3) Measure the impedance parameters of the vibration isolator and convert them to obtain the origin admittance Y of the vibration isolator. 11 Y 22 and transfer admittance Y 12 Y 21 .

[0137] 4) Install the mechanical equipment on the base of the standard test bench using vibration isolators, turn on the equipment, and measure the speed v1 of the machine feet.

[0138] 5) Arrange acceleration sensors at each mounting point of the actual mounting base of the mechanical equipment, and strike each mounting point of the base sequentially with a hammer to obtain the actual mounting base admittance Y′. R .

[0139] 6) Using the formula (7) of this patent, the free vibration velocity v0 of the mechanical equipment is calculated by using the measured machine foot velocity v1 on the standard test bench.

[0140] 7) Using the formula (8) of this patent, the free vibration velocity v0 and the measured equipment foot admittance Y are used. S Vibration isolator admittance Y 11 Y 22 Y 12 Y 21 Actual installation base admittance Y′ R The vibration velocity v′2 and excitation force F′2 at the base mounting point in the actual installation environment were calculated.

[0141] Conversion Test and Forecast Method Two:

[0142] 1) Suspend the mechanical equipment with ropes. In the free-suspension state of the mechanical equipment, place an acceleration sensor on each foot. Then, use a hammer to strike each foot in sequence to obtain the foot admittance Y. S .

[0143] 2) Keep the mechanical equipment in a free suspension state, turn on the equipment, and measure the free vibration velocity v0 of the mechanical equipment.

[0144] 3) Measure the impedance parameters of the vibration isolator and convert them to obtain the origin admittance Y of the vibration isolator. 11 Y 22 and transfer admittance Y 12 Y 21 .

[0145] 4) Arrange acceleration sensors at each mounting point of the actual mounting base of the mechanical equipment, and strike each mounting point of the base sequentially with a hammer to obtain the actual mounting base admittance Y′. R .

[0146] 5) Using formula (8) of this application, the measured free vibration velocity v0 and the measured equipment foot admittance Y are used to determine the free vibration velocity v0 and the equipment foot admittance Y. S Vibration isolator admittance Y 11 Y 22 Y 12 Y 21 Actual installation base admittance Y′ R The vibration velocity v′2 and excitation force F′2 at the base mounting point in the actual installation environment were calculated.

[0147] Using step 6) of the conversion test and prediction method one, the calculated value of the equipment's free vibration velocity v0 can be obtained; using step 2) of the conversion test and prediction method two, the calculated value of the equipment's free vibration velocity v0 can also be obtained. A comparison of v0 obtained using the two methods is shown in Table 1. It can be seen that the error in estimating the equipment's free vibration velocity using the method of this application is only 0.5 dB. Furthermore, as attached... Figure 4 and attached Figure 5 As shown in the figure, the comparison between the calculated value and the measured value of the free vibration velocity v0 shows that the two values ​​are almost the same, which further demonstrates the accuracy of the calculated value of the free vibration velocity v0 of the equipment obtained by using step 6) of the prediction method one of this application.

[0148] Table 1. Comparison of overall levels of free vibration velocity at the machine feet (10–1 kHz)

[0149]

[0150] Using step 7 of method one, the excitation force at the upper and lower ends of the vibration isolator was calculated using the free vibration velocity v0 calculation device when installed on the actual base. The comparison with the measured data is shown in Tables 2 and 3, and appendix. Figure 6 As shown, the method of this application can be used to estimate the excitation characteristics of the equipment in the actual installation environment with an error within 1.4 dB.

[0151] Table 2 Comparison of the total excitation force F′1 at the upper end of the vibration isolator (200Hz~1kHz)

[0152]

[0153] Table 3 Comparison of the total excitation force F′2 at the lower end of the vibration isolator after conversion (200Hz~1kHz)

[0154]

[0155] 3. Beneficial effects.

[0156] (1) A complete model of the vibration isolation system of mechanical equipment was established. The free vibration velocity of the mechanical equipment was used to describe the excitation source characteristics of the equipment. The relationship between the free vibration velocity of the equipment and the vibration velocity and excitation force under the installation state was established. Compared with the traditional substructure model, it has better versatility and can realize the prediction of the excitation characteristics of mechanical equipment under different installation environments.

[0157] (2) Two testing and prediction methods for the excitation characteristic transformation of mechanical equipment considering multi-point coupling have been developed. Based on the traditional standard bench test, by simply adding the free suspension test of the mechanical equipment and the admittance test of the actual installation base, the vibration characteristics of the mechanical equipment in the actual installation environment can be predicted. The operation is simple and the prediction effect is good.

[0158] In embodiments of the present invention, the term "multiple" refers to two or more unless otherwise explicitly defined. The terms "installed," "connected," "linked," and "fixed," etc., should be interpreted broadly. For example, "connected" can be a fixed connection, a detachable connection, or an integral connection; "linked" can be a direct connection or an indirect connection through an intermediate medium. Those skilled in the art can understand the specific meaning of the above terms in embodiments of the present invention according to the specific circumstances.

[0159] Furthermore, although the operations are described in a specific order, this should be understood as requiring that such operations be performed in a specific order or sequential order, or requiring that all illustrated operations be performed to achieve the desired result. In certain environments, multitasking and parallel processing may be advantageous. Similarly, although several specific implementation details are included in the above discussion, these should not be construed as limiting the scope of the invention. Certain features described in the context of individual embodiments may also be implemented in combination in a single implementation. Conversely, various features described in the context of a single implementation may also be implemented individually or in any suitable sub-combination in multiple implementations.

[0160] Although the subject matter has been described using language describing specific structural features and / or methodological logic, it should be understood that the subject matter defined in the appended claims is not necessarily limited to the specific features or actions described above. Rather, the specific features and actions described above are merely illustrative examples of implementing the claims.

[0161] The above are merely preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Those skilled in the art will recognize that various modifications and variations are possible with respect to the embodiments of the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the embodiments of the present invention should be included within the protection scope of the embodiments of the present invention.

Claims

1. A method for converting equipment vibration parameters under different installation conditions, characterized in that, include: With the device in a free-suspension state, an acceleration sensor is placed on each foot of the device, and each foot is struck sequentially with an excitation hammer to obtain the foot admittance of the device. Obtain the origin admittance at the input end of each vibration isolator, the origin admittance at the output end of each vibration isolator, the transfer admittance at the input end of each vibration isolator, and the transfer admittance at the output end of each vibration isolator. Obtain the free vibration velocity of the device; An acceleration sensor is placed at each mounting point of the actual mounting base, and an excitation hammer is used to strike each mounting point of the actual mounting base in sequence to obtain the admittance of the actual mounting base. Based on the free vibration velocity, the machine foot admittance, the origin admittance of the input end of the vibration isolator, the origin admittance of the output end of the vibration isolator, the transmission admittance of the input end of the vibration isolator, the transmission admittance of the output end of the vibration isolator, and the actual mounting base admittance, calculate the vibration parameters of the equipment mounted on the actual mounting base.

2. The method for converting equipment vibration parameters under different installation states according to claim 1, characterized in that, The step of obtaining the free vibration velocity of the device includes: An accelerometer is placed at each mounting point of the standard base of the standard test bench, and an excitation hammer is used to strike each mounting point of the standard base in sequence to obtain the standard base admittance. The device is installed on the standard base of the standard stand; A speed sensor is placed on each foot of the device. The device is turned on to obtain the foot speed of the device on the standard test bench. The free vibration velocity of the equipment is calculated based on the standard base admittance, the machine foot velocity, the origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transmission admittance at the input end of the vibration isolator, the transmission admittance at the output end of the vibration isolator, and the machine foot admittance.

3. The method for converting equipment vibration parameters under different installation states according to claim 2, characterized in that, The free vibration velocity of the equipment is calculated based on the standard base admittance, the machine foot velocity, the origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transmission admittance at the input end of the vibration isolator, the transmission admittance at the output end of the vibration isolator, and the machine foot admittance, using the following formula: K=(Y S +And 11 )AND 21 -1 (AND R +And 22 )-AND 12 ; v0=KY 11 Y 21 -1 (Y R +Y 22 )-Y 12 ] -1 v1; Where v0 represents the free vibration velocity of the device, Y 11 Y represents the origin admittance at the input terminal of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 The output admittance of the vibration isolator is represented by v1, and the foot speed of the equipment on the standard test bench is represented by v1. R Y represents the standard base admittance. S K represents the foot admittance of the device, and K represents the transfer admittance matrix when the device is installed on the standard base.

4. The method for converting equipment vibration parameters under different installation states according to claim 1, characterized in that, The step of obtaining the free vibration velocity of the device includes: With the device in a free-suspension state, the device is turned on, and the free vibration velocity of the device is directly measured.

5. The method for converting equipment vibration parameters under different installation states according to claim 1, characterized in that, The steps of obtaining the origin admittance at the input end of each vibration isolator, the origin admittance at the output end of each vibration isolator, the transfer admittance at the input end of each vibration isolator, and the transfer admittance at the output end of each vibration isolator include: Measure the impedance parameters of the vibration isolator; The origin admittance at the input end of the vibration isolator, the origin admittance at the output end of the vibration isolator, the transfer admittance at the input end of the vibration isolator, and the transfer admittance at the output end of the vibration isolator are obtained by converting the impedance parameters.

6. The method for converting equipment vibration parameters under different installation states according to any one of claims 1 to 5, characterized in that, The vibration parameters include at least one of the following: the vibration velocity of the machine foot at the upper end of the vibration isolator on the actual mounting base, the excitation force at the upper end of the vibration isolator, the vibration velocity of the mounting point at the lower end of the vibration isolator, and the excitation force at the lower end of the vibration isolator.

7. The method for converting equipment vibration parameters under different installation states according to claim 6, characterized in that, Based on the free vibration velocity, the machine foot admittance, the origin admittance of the input end of the vibration isolator, the origin admittance of the output end of the vibration isolator, the transmission admittance of the input end of the vibration isolator, the transmission admittance of the output end of the vibration isolator, and the actual mounting base admittance, the machine foot vibration velocity at the upper end of the vibration isolator on the actual mounting base is calculated using the following formula: K′=(Y S +And 11 )AND 21 -1 (AND' R +And 22 )-AND 12 ; v′1=[Y 11 AND 21 -1 (AND' R +And 22 )-AND 12 ][K′] -1 v0; Where K′ represents the transferred admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the device. 11 Y represents the origin admittance at the input terminal of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the device, and Y′ represents the free velocity at the output of the vibration isolator. R V'1 represents the admittance of the actual mounting base; V'1 represents the vibration velocity of the machine foot at the upper end of the vibration isolator on the actual mounting base.

8. The method for converting equipment vibration parameters under different installation states according to claim 6, characterized in that, Based on the free vibration velocity, the machine foot admittance, the origin admittance of the input end of the vibration isolator, the origin admittance of the output end of the vibration isolator, the transmission admittance of the input end of the vibration isolator, the transmission admittance of the output end of the vibration isolator, and the actual mounting base admittance, the excitation force at the upper end of the vibration isolator on the actual mounting base is calculated using the following formula: K′=(Y S +And 11 )AND 21 -1 (AND' R +And 22 )-AND 12 ; F′1=Y 21 -1 (Y′ R +Y 22 )[K′] -1 v0; Where K′ represents the transferred admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the device. 11 Y represents the origin admittance at the input terminal of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the device, and Y′ represents the free velocity at the output of the vibration isolator. R F'1 represents the admittance of the actual mounting base; F'1 represents the excitation force at the upper end of the vibration isolator on the actual mounting base.

9. The method for converting equipment vibration parameters under different installation states according to claim 6, characterized in that, Based on the free vibration velocity, the machine foot admittance, the origin admittance of the input end of the vibration isolator, the origin admittance of the output end of the vibration isolator, the transmission admittance of the input end of the vibration isolator, the transmission admittance of the output end of the vibration isolator, and the actual mounting base admittance, the vibration velocity at the mounting point of the lower end of the vibration isolator on the actual mounting base is calculated using the following formula: K′=(Y S +And 11 )AND 21 -1 (AND' R +And 22 )-AND 12 ; v′2=Y′ R [K′] -1 v0; Where K′ represents the transferred admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the device. 11 Y represents the origin admittance at the input terminal of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the device, and Y′ represents the free velocity at the output of the vibration isolator. R v'2 represents the admittance of the actual mounting base; v'2 represents the vibration velocity at the mounting point at the lower end of the vibration isolator on the actual mounting base.

10. The method for converting equipment vibration parameters under different installation states according to claim 6, characterized in that, Based on the free vibration velocity, the machine foot admittance, the origin admittance of the input end of the vibration isolator, the origin admittance of the output end of the vibration isolator, the transmission admittance of the input end of the vibration isolator, the transmission admittance of the output end of the vibration isolator, and the actual mounting base admittance, the excitation force at the lower end of the vibration isolator on the actual mounting base is calculated using the following formula: K′=(Y S +And 11 )AND 21 -1 (AND' R +And 22 )-AND 12 ; F′2=-[K′] -1 v0; Where K′ represents the transferred admittance matrix when the device is installed on the actual mounting base, Y S Y represents the pin admittance of the device. 11 Y represents the origin admittance at the input terminal of the vibration isolator. 22 Y represents the origin admittance at the output of the vibration isolator. 12 Y represents the transfer admittance at the input of the vibration isolator. 21 Y′ represents the transmitted admittance at the output of the vibration isolator, v0 represents the free velocity of the device, and Y′ represents the free velocity at the output of the vibration isolator. R F'2 represents the admittance of the actual mounting base; F'2 represents the excitation force at the lower end of the vibration isolator on the actual mounting base.

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