A Quantitative Analysis Method for the Impact Characteristics of a Forging Hammer Based on Impulse Function
By using a quantitative analysis method based on the impact characteristics of forging hammers using pulse functions, the problem of large calculation errors in the impact force of forging hammers was solved. This method enables accurate calculation of the impact force of forging hammers and effective prediction of equipment vibration, thereby optimizing equipment design and improving equipment stability and service life.
Patent Information
- Application Number
- CN202510732864.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2025-06-04
- Publication Date
- 2025-10-31
- Estimated Expiration
- 2045-06-04
AI Technical Summary
Existing methods for calculating the impact force of forging hammers have significant errors, leading to equipment loads that are far higher than expected, causing equipment failures and premature wear. Furthermore, the impact of vibration is underestimated, affecting equipment stability and environmental safety.
A quantitative analysis method for the impact characteristics of forging hammers based on pulse functions is adopted. By obtaining the formula for the average impact force and the unit pulse function, and combining the pulse peak factor, rebound coefficient and influence coefficient, the peak impact force of the forging hammer is calculated. Taking into account the impact pattern and rebound effect, a more accurate impact force analysis is provided.
Accurately calculate the actual striking force of the forging hammer, effectively predict equipment vibration, optimize the design of forging hammer equipment, improve stability and extend service life, and reduce the impact of equipment failure and vibration on the environment.
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Figure CN120256808B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of engineering analysis technology, and more particularly to a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function. Background Technology
[0002] Forging hammers indeed hold a vital position in the metalworking field, especially in applications requiring high-energy forming. Through forging, metal materials can be rapidly shaped under high-energy impact, offering significant advantages in improving production efficiency and product quality. Forging hammers are widely used in various metalworking fields, particularly in applications requiring high-energy forming. They not only improve production efficiency but also enhance material properties, meeting the diverse needs of different industries for metal parts, such as shipbuilding, automotive, aerospace, and tool manufacturing.
[0003] A forging hammer is a mechanical device used in metal processing, mainly applied in forging, compression, and forming processes. To improve production efficiency and product quality, it is necessary to select the appropriate forging hammer type based on specific processing requirements and material properties. There are many types of forging hammers. According to their striking characteristics, there are counter-strike hammers and hammers with anvils; according to their process application, there are free forging hammers, die forging hammers, and sheet metal stamping hammers; according to the force acting on the falling part during the downward stroke, they are divided into single-acting hammers and double-acting hammers. In a single-acting hammer, the falling part is in free fall; in a double-acting hammer, the falling part is subjected to gravity as well as compressed air or hydraulic pressure during the downward stroke.
[0004] Analyzing the impact force of a forging hammer is a complex subject. The working process of a forging hammer involves a variety of collision types, from elastic to plastic, elastoplastic, and rigid. Different collision types have different effects on the magnitude, shape, and duration of the impact force, making the accurate analysis and modeling of the impact force extremely challenging.
[0005] Conventional analytical methods for analyzing the impact force of forging hammers typically rely on fundamental principles such as Newton's second law and the conservation of energy to describe the collision process. However, these methods may focus more on the macroscopic transmission of energy and force, neglecting the microscopic details of the specific collision process, such as the deformation of the object and the nonlinear response of the material. Therefore, when dealing with complex systems like forging hammers, it is necessary to consider the material behavior and deformation process under different collision types.
[0006] Referring to the concept of impact rigidity given in the Forging Handbook, the entire impact process can be divided into two stages: the loading stage and the recovery stage.
[0007] Through long-term engineering practice, technicians have realized that existing calculation methods have certain biases, especially in the prediction of impact force. Therefore, we organized forging hammer impact force tests, and the test results further show that the actual measured impact force is about twice as large as the value obtained by existing calculation methods.
[0008] If the calculated impact force is too low, the equipment will be subjected to a much higher load than expected, leading to damage to machine parts, equipment failure, and premature wear. Furthermore, underestimating the vibration and impact can also affect the safety and normal operation of equipment foundations and adjacent factory buildings, disrupting the peace and tranquility of the surrounding community.
[0009] There is currently no effective solution to the aforementioned problems in the relevant technologies. Summary of the Invention
[0010] The main objective of this application is to provide a quantitative analysis method for the impact characteristics of forging hammers based on pulse functions, so as to at least solve the problem of large calculation errors in the impact force of forging hammers in related technologies.
[0011] To achieve the above objectives, according to one aspect of this application, a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function is provided. The method includes: obtaining a formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function is defined as follows: Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes back-peak toothed pulses, symmetrical triangular pulses, versine pulses, sinusoidal half-wave pulses, and rectangular pulses; each unit pulse function corresponds to one integral formula for the average impact force. The peak impact force expression is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0012] Optionally, the striking force function can be obtained, with the following formula: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0013] Optionally, five unit impulse functions are obtained, among which the unit impulse function includes the formula for the back-peak tooth profile impulse: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0014] Optionally, the integral formula for the average striking power is obtained based on the formula for the average striking power. At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0015] Optionally, substituting the unit impulse function into the general formula for the integral of the average impact force yields the integral formula for the average impact force, including: the integral formula for the back-peak tooth-shaped impulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0016] Optionally, the relationship between the pulse peak value and the average impact force can be obtained based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0017] Optionally, obtain the rebound coefficient, and then obtain the influence coefficient based on the rebound coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
[0018] According to another aspect of this application, a quantitative analysis device for the impact characteristics of a forging hammer based on a pulse function is provided. The device includes: a first acquisition unit for acquiring a formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The first unit is the impact force function; the second unit is used to obtain the integral formula for the average impact force based on the unit pulse function and the formula for the average impact force. The unit pulse function includes a back-peak toothed pulse, a symmetrical triangular pulse, a versine pulse, a sinusoidal half-wave pulse, and a rectangular pulse. Each unit pulse function corresponds to one integral formula for the average impact force. The third unit is used to obtain the expression for the peak impact force based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0019] To achieve the above objectives, according to another aspect of this application, a computer-readable storage medium is provided, the computer-readable storage medium including a stored program, wherein the program executes any of the above-described quantitative analysis methods for the characteristics of forging hammer impact based on pulse functions.
[0020] According to another aspect of this application, an electronic device is provided, comprising: one or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, and the one or more programs include a pulse function-based quantitative analysis method for forging hammer impact characteristics for performing any one of them.
[0021] This application employs the following steps: Obtaining the formula for the average impact force, the formula is: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function is defined as follows: Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes back-peak toothed pulses, symmetrical triangular pulses, versine pulses, sinusoidal half-wave pulses, and rectangular pulses; each unit pulse function corresponds to one integral formula for the average impact force. The peak impact force expression is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. The baseline mass, which includes the mass of the equipment and the foundation, solves the problem of large calculation errors in the striking force of forging hammers in related technologies. As a result, when the forging hammer strikes different objects, the corresponding pulse pattern can be found, and the effect of the forging hammer striking force can be described by a pulse function. Attached Figure Description
[0022] To more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.
[0023] Figure 1 This is a flowchart of a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function, according to an embodiment of this application.
[0024] Figure 2 This is a schematic diagram of the forging hammer striking process;
[0025] Figure 3 The pulse function time-domain curve;
[0026] Figure 4 This is a graph showing the peak and mean impact forces of a rectangular pulse function.
[0027] Figure 5 A graph showing the peak and mean values of the impact force of a sinusoidal pulse function.
[0028] Figure 6 The graph shows the peak and mean values of the impact force for the sine, trigonometric, and post-peak pulse functions.
[0029] Figure 7 To fit the measured peak and mean impact force curves of the pulse function;
[0030] Figure 8 This is a structural block diagram of a device for quantitatively analyzing the impact characteristics of a forging hammer based on a pulse function, according to an embodiment of this application. Detailed Implementation
[0031] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.
[0032] To enable those skilled in the art to better understand the present application, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present application, and not all embodiments. Based on the embodiments in the present application, all other embodiments obtained by those of ordinary skill in the art without creative effort should fall within the scope of protection of the present application.
[0033] It should be noted that the terms "first," "second," etc., in the specification, claims, and accompanying drawings of this application are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such data can be interchanged where appropriate for the embodiments of this application described herein. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion; for example, a process, method, system, product, or apparatus that comprises a series of steps or units is not necessarily limited to those steps or units explicitly listed, but may include other steps or units not explicitly listed or inherent to such processes, methods, products, or apparatus.
[0034] As described in the background section, existing technologies can only analyze the average striking force of a forging hammer when it strikes, but cannot accurately analyze the precise force of the hammer's strike. To solve the problem of large calculation errors in the striking force of forging hammers, embodiments of this application provide a quantitative analysis method for the striking characteristics of forging hammers based on pulse functions.
[0035] The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention.
[0036] This embodiment provides a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function, which runs on a mobile terminal, computer terminal, or similar computing device. It should be noted that the steps shown in the flowchart in the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions. Furthermore, although a logical order is shown in the flowchart, in some cases, the steps shown or described may be executed in a different order than that shown here.
[0037] Figure 1 This is a flowchart illustrating a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function, according to an embodiment of this application. Figure 1 As shown, the method includes the following steps:
[0038] Step S101, obtain the formula for the average striking power, the formula is: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function;
[0039] Specifically, the formula for the average impact force can be obtained through the relationship between the impulse function and the average impact force, and the formula for the average impact force is... For impact force function, .
[0040] Step S102: Based on the unit pulse function and the formula for the average impact force, obtain the integral formula for the average impact force. The unit pulse function includes the back peak tooth pulse, the symmetrical triangle pulse, the versine pulse, the sine half-wave pulse, and the rectangular pulse. One unit pulse function corresponds to one integral formula for the average impact force.
[0041] Specifically, by combining different unit impulse functions with the formula for the average impact force, the formula for the average impact force corresponding to each unit impulse function can be obtained.
[0042] Step S103: Obtain the expression for the peak impact force based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0043] Specifically, this invention takes into account the impact of rebound on the impact force, and therefore incorporates a rebound coefficient when analyzing the impact force. Simultaneously considering both the impact morphology and the impact rebound effect makes this comprehensive analysis method more reasonable and accurate. Current methods separate the impact rebound effect and the impact morphology factor, analyzing them separately, resulting in larger calculation errors.
[0044] Based on the results of the impact force test, the relevant parameters of the forging hammer's impact effect were analyzed and obtained, as shown in the table below.
[0045]
[0046] Therefore, the peak impact force can be expressed as: ,make Then, the above formula can be simplified to: It's the quality of the hammerhead; It refers to the quality of the base unit (including the quality of equipment and foundation). It's a mass ratio. It is the reciprocal of the mass ratio.
[0047] This embodiment employs multiple impulse functions to simulate the impact of a forging hammer under different process conditions. This method can effectively capture the dynamic characteristics of the forging hammer during actual operation. This simulation not only helps analyze the changing trends of the impact force but also provides a reference for experimental design. Furthermore, previous forging hammer impact force tests will provide important experimental data for verifying these models and theories.
[0048] In other words, such as Figure 2 As shown, the forging hammer striking process is analyzed:
[0049] Phase 1: Loading Phase
[0050] Initial state: The initial velocity of the hammer is The initial velocity of the anvil At this point, the hammer begins to fall and exert a force on the anvil. During this phase, the force exerted by the hammer on the anvil increases from zero, and as the hammer falls, the pressure between the contact surfaces gradually increases until it reaches its maximum value, Fmax. The change in force is typically a gradual increase to a peak value, followed by a rapid return to zero at the end of the impact.
[0051] Forging Forming: Due to the falling hammer and the fixed anvil, the forging is compressed and undergoes plastic deformation during this stage. The deformation of the forging reaches its maximum during this stage. At this point, the velocities of the hammer and anvil gradually converge, eventually reaching a uniform downward velocity. .
[0052] Energy conversion: In this stage, the kinetic energy of the falling component is converted into the plastic deformation energy of the forging, the elastic deformation energy inside the hammering system, and the kinetic energy of the system's motion.
[0053] Time parameter: During the loading phase, the impact duration or impact pulse width t0 determines the first stage of the action time, i.e., Δt1 = t0. At this time, when the force reaches zero, according to Newton's second law F = m⋅a, the acceleration is zero.
[0054] Phase Two: Recovery Phase
[0055] Initial state: At the end of the loading phase, the hammer and anvil move together at a certain speed, that is... .
[0056] Elastic deformation energy release: As the hammerhead separates from the anvil, the elastic deformation energy of the hammering system at the end of the first stage is released during the recovery phase. The hammerhead and anvil begin to separate in opposite directions, with their respective velocities reaching [missing information]. and .
[0057] Impact and vibration: the anvil at speed The impact on the foundation causes severe ground impact vibrations, which affect the stability of the surrounding environment and equipment.
[0058] Final state: At the end of the recovery phase, the speeds of the hammer and anvil reach [values to be filled in]. and The two then begin to move in opposite directions.
[0059] The principle of conservation of momentum provides a method for calculating the striking force of a forging hammer. This applies to the striking force of a forging hammer with an anvil. This can be derived from the fact that the change in momentum is equal to the product of the average impact force and the impact time: .
[0060] This is currently the most commonly used formula for calculating the impact force of forging hammers. It should be noted that this formula calculates the average impact force. Forging process design must not only meet the requirements of mechanical product manufacturing and processing, but also ensure the normal operation of the forging hammer equipment, meet the strength requirements of the components, and reduce the environmental impact of vibration. If the calculation of the forging hammer's impact force is inaccurate, the stable operation of the equipment and effective vibration control cannot be guaranteed. In actual use, many pieces of equipment experience premature damage, and this problem has remained unresolved for a long time. In engineering practice, technicians have gradually realized that existing calculation methods have biases, especially in the prediction of impact force. Test results show that the actual measured impact force is about twice as large as the value obtained by existing calculation methods, resulting in a much higher load on the equipment than expected, leading to equipment failure and premature wear.
[0061] To this end, we employed various impulse functions to simulate the impact force characteristics of the forging hammer under different impact conditions, and conducted field tests to verify this method in conjunction with actual working conditions. This method can more accurately capture the dynamic changes of the forging hammer during the impact process, especially considering the irregularity and complexity of the force on the forging hammer under different working conditions. Furthermore, we fully considered multiple factors such as the rigidity, elasticity, and elastoplasticity of the material being impacted, and proposed a new method for analyzing the impact force of the forging hammer. Through this method, we can not only accurately calculate the actual impact force of the forging hammer, but also effectively predict and control the transmission of equipment vibration, thus providing a reliable basis for optimizing the design of forging hammer equipment, improving its stability, and extending its service life.
[0062] In one alternative embodiment, the impact force function is obtained as follows: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0063] In one optional embodiment, five unit impulse functions are obtained, wherein the unit impulse function includes the following formula: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0064] Specifically, refer to Figure 3 Depending on the different process conditions, the impulse function can take many forms. Five typical unit impulse function calculation formulas are listed below. Analyzing and simulating the impact force using multiple unit impulse functions can more accurately identify functions that more closely resemble the impact force curve, facilitating impact force analysis and improving its accuracy.
[0065] In an optional embodiment, the integral formula of the average striking force is obtained according to the formula for the average striking force. At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0066] Specifically, the formula for the average striking force is transformed into the summative formula for the striking force integral, making it easier to substitute the unit impulse function into the calculation.
[0067] In an optional embodiment, substituting the unit pulse function into the summative formula for the average impact force yields the integral formula for the average impact force, including: the integral formula for the back-peak toothed pulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0068] Reference Figure 4-7 This relates the peak and mean impact forces corresponding to various unit impulse functions. Based on this relationship, the pulse peak factor can be derived, which is a crucial factor in determining impact force.
[0069] In one optional embodiment, the relationship between the pulse peak value and the average impact force is obtained based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0070] In one optional embodiment, a springback coefficient is obtained, and an influence coefficient is obtained based on the springback coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
[0071] Specifically, the rebound coefficient e, according to the recommended values given in the "Basic Design Manual for Power Machines", is shown in the table below:
[0072]
[0073] In summary, the calculation method proposed in this invention is closer to reality and matches the impact force test results. The calculated results are approximately twice as large as those of existing methods. This invention proposes that when a forging hammer strikes different objects, a corresponding pulse pattern can be found, and the impact force of the forging hammer can be described by a pulse function. Current methods calculate based on the average impact force, resulting in underestimated and unreasonable results. This invention considers both the impact pattern factor and the impact rebound effect of the impact force, making this comprehensive analysis method more reasonable and accurate. Current methods separate the impact rebound effect and impact pattern factor for separate analysis, resulting in larger calculation errors.
[0074] According to another aspect of this application, a quantitative analysis device for the impact characteristics of a forging hammer based on a pulse function is provided. The device includes: a first acquisition unit for acquiring a formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The first unit is the impact force function; the second unit is used to obtain the integral formula for the average impact force based on the unit pulse function and the formula for the average impact force. The unit pulse function includes a back-peak toothed pulse, a symmetrical triangular pulse, a versine pulse, a sinusoidal half-wave pulse, and a rectangular pulse. Each unit pulse function corresponds to one integral formula for the average impact force. The third unit is used to obtain the expression for the peak impact force based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0075] This application also provides a device for quantitatively analyzing the impact characteristics of a forging hammer based on a pulse function. It should be noted that this device can be used to execute the method provided in this application for quantitatively analyzing the impact characteristics of a forging hammer based on a pulse function. This device is used to implement the above embodiments and preferred embodiments; details already described will not be repeated. As used below, the term "module" can refer to a combination of software and / or hardware that performs a predetermined function. Although the device described in the following embodiments is preferably implemented in software, hardware implementation, or a combination of software and hardware, is also possible and contemplated.
[0076] The following describes a quantitative analysis device for the impact characteristics of a forging hammer based on a pulse function, provided in an embodiment of this application.
[0077] Figure 8 This is a structural block diagram of a device for quantitatively analyzing the impact characteristics of a forging hammer based on a pulse function, according to an embodiment of this application. Figure 8 As shown, the device includes: a first acquisition unit 801, used to acquire the formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The first unit is the impact force function; the second acquisition unit 802 is used to obtain the integral formula of the average impact force based on the unit pulse function and the average impact force formula. The unit pulse function includes a back-peak toothed pulse, a symmetrical triangular pulse, a versine pulse, a sinusoidal half-wave pulse, and a rectangular pulse. Each unit pulse function corresponds to one average impact force integral formula. The third acquisition unit 803 is used to obtain the peak impact force expression based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0078] In an optional embodiment, the first acquisition unit 801 includes: a first acquisition subunit, used to acquire the impact force function, the formula of which is: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0079] In an optional embodiment, the second acquisition unit 802 includes: a second acquisition subunit, configured to acquire five unit impulse functions, wherein the unit impulse function includes the following formula: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0080] In an optional embodiment, the second acquisition unit 802 includes: a second acquisition subunit, configured to acquire the integral formula of the average impact force according to the formula for the average impact force, when... At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0081] In an optional embodiment, the second acquisition unit 802 includes: a calculation subunit, configured to substitute the unit pulse function into the integral formula of the average impact force to obtain the integral formula of the average impact force, including: the integral formula of the back peak toothed pulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0082] In an optional embodiment, the third acquisition unit 803 includes: a third acquisition subunit, configured to acquire the relationship between the pulse peak value and the average impact force based on a unit pulse function, using the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0083] In an optional embodiment, the third acquisition unit 803 includes: a fourth acquisition subunit, used to acquire the springback coefficient and acquire an influence coefficient based on the springback coefficient, using the formula: ,in, The influence coefficient, This is the rebound coefficient.
[0084] The quantitative analysis device for the impact characteristics of a forging hammer based on a pulse function includes a processor and a memory. The aforementioned first acquisition unit 801, etc., are all stored as program units in the memory, and the processor executes these program units to achieve the corresponding functions. All the above modules are located in the same processor; alternatively, the modules may be located in different processors in any combination.
[0085] The processor contains a kernel, which retrieves the corresponding program unit from memory. One or more kernels can be configured; adjusting kernel parameters can address the technical problem of large errors in calculating the striking force of the forging hammer.
[0086] The memory may include non-permanent memory in computer-readable media, such as random access memory (RAM) and / or non-volatile memory, such as read-only memory (ROM) or flash RAM, and the memory includes at least one memory chip.
[0087] This invention provides a computer-readable storage medium including a stored program, wherein the program, when running, controls the device containing the computer-readable storage medium to execute a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function.
[0088] Specifically, a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function includes: obtaining the formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function is defined as follows: Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes back-peak toothed pulses, symmetrical triangular pulses, versine pulses, sinusoidal half-wave pulses, and rectangular pulses; each unit pulse function corresponds to one integral formula for the average impact force. The peak impact force expression is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0089] Optionally, the striking force function can be obtained, with the following formula: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0090] Optionally, five unit impulse functions are obtained, among which the unit impulse function includes the formula for the back-peak tooth profile impulse: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0091] Optionally, the integral formula for the average striking power is obtained based on the formula for the average striking power. At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0092] Optionally, substituting the unit impulse function into the general formula for the integral of the average impact force yields the integral formula for the average impact force, including: the integral formula for the back-peak tooth-shaped impulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0093] Optionally, the relationship between the pulse peak value and the average impact force can be obtained based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0094] Optionally, obtain the rebound coefficient, and then obtain the influence coefficient based on the rebound coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
[0095] This invention provides a processor for running a program, wherein the program executes the quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function.
[0096] Specifically, a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function includes: obtaining the formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function is defined as follows: Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes back-peak toothed pulses, symmetrical triangular pulses, versine pulses, sinusoidal half-wave pulses, and rectangular pulses; each unit pulse function corresponds to one integral formula for the average impact force. The peak impact force expression is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0097] Optionally, the striking force function can be obtained, with the following formula: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0098] Optionally, five unit impulse functions are obtained, among which the unit impulse function includes the formula for the back-peak tooth profile impulse: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0099] Optionally, the integral formula for the average striking power is obtained based on the formula for the average striking power. At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0100] Optionally, substituting the unit impulse function into the general formula for the integral of the average impact force yields the integral formula for the average impact force, including: the integral formula for the back-peak tooth-shaped impulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0101] Optionally, the relationship between the pulse peak value and the average impact force can be obtained based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0102] Optionally, obtain the rebound coefficient, and then obtain the influence coefficient based on the rebound coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
[0103] This invention provides a device including a processor, a memory, and a program stored in the memory and executable on the processor. When the processor executes the program, it performs at least the following steps: obtaining a formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function is defined as follows: Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes back-peak toothed pulses, symmetrical triangular pulses, versine pulses, sinusoidal half-wave pulses, and rectangular pulses; each unit pulse function corresponds to one integral formula for the average impact force. The peak impact force expression is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality refers to both device and infrastructure quality. Devices in this article can be servers, PCs, tablets, mobile phones, etc.
[0104] Optionally, the striking force function can be obtained, with the following formula: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0105] Optionally, five unit impulse functions are obtained, among which the unit impulse function includes the formula for the back-peak tooth profile impulse: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0106] Optionally, the integral formula for the average striking power is obtained based on the formula for the average striking power. At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0107] Optionally, substituting the unit impulse function into the general formula for the integral of the average impact force yields the integral formula for the average impact force, including: the integral formula for the back-peak tooth-shaped impulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0108] Optionally, the relationship between the pulse peak value and the average impact force can be obtained based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0109] Optionally, obtain the rebound coefficient, and then obtain the influence coefficient based on the rebound coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
[0110] This application also provides a computer program product, which, when executed on a data processing device, is suitable for executing a program that initializes with at least the following method steps: obtaining a formula for the average impact force, the formula being: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function is defined as follows: Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes back-peak toothed pulses, symmetrical triangular pulses, versine pulses, sinusoidal half-wave pulses, and rectangular pulses; each unit pulse function corresponds to one integral formula for the average impact force. The peak impact force expression is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient, For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. Baseline quality, which includes the quality of equipment and foundations.
[0111] Optionally, the striking force function can be obtained, with the following formula: , For impact force function, It is a unit impulse function. This represents the peak impact force.
[0112] Optionally, five unit impulse functions are obtained, among which the unit impulse function includes the formula for the back-peak tooth profile impulse: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
[0113] Optionally, the integral formula for the average striking power is obtained based on the formula for the average striking power. At that time, the integral of the average striking force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
[0114] Optionally, substituting the unit impulse function into the general formula for the integral of the average impact force yields the integral formula for the average impact force, including: the integral formula for the back-peak tooth-shaped impulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
[0115] Optionally, the relationship between the pulse peak value and the average impact force can be obtained based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor.
[0116] Optionally, obtain the rebound coefficient, and then obtain the influence coefficient based on the rebound coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
[0117] It is obvious to those skilled in the art that the modules or steps of the present invention described above can be implemented using general-purpose computing devices. They can be centralized on a single computing device or distributed across a network of multiple computing devices. They can be implemented using computer-executable program code, and thus can be stored in a storage device for execution by a computing device. In some cases, the steps shown or described can be performed in a different order than those described herein, or they can be fabricated as separate integrated circuit modules, or multiple modules or steps can be fabricated as a single integrated circuit module. Thus, the present invention is not limited to any particular combination of hardware and software.
[0118] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
[0119] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0120] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0121] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0122] In a typical configuration, a computing device includes one or more processors (CPU), input / output interfaces, network interfaces, and memory.
[0123] Memory may include non-persistent memory in computer-readable media, such as random access memory (RAM) and / or non-volatile memory, such as read-only memory (ROM) or flash RAM. Memory is an example of computer-readable media.
[0124] Computer-readable media includes both permanent and non-permanent, removable and non-removable media that can store information using any method or technology. Information can be computer-readable instructions, data structures, modules of programs, or other data. Examples of computer storage media include, but are not limited to, phase-change memory (PRAM), static random access memory (SRAM), dynamic random access memory (DRAM), other types of random access memory (RAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), flash memory or other memory technologies, CD-ROM, digital versatile optical disc (DVD) or other optical storage, magnetic tape, magnetic magnetic disk storage or other magnetic storage devices, or any other non-transferable medium that can be used to store information accessible by a computing device. As defined herein, computer-readable media does not include transient computer-readable media, such as modulated data signals and carrier waves.
[0125] It should also be noted that the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such process, method, article, or apparatus. Unless otherwise specified, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes that element.
[0126] The above description is merely a preferred embodiment of this application and is not intended to limit this application. Various modifications and variations can be made to this application by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the protection scope of this application.
Claims
1. A quantitative analysis method for the impact characteristics of a forging hammer based on an impulse function, characterized in that, include: The formula for obtaining the average striking power is: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function; Based on the unit pulse function and the formula for the average impact force, the integral formula for the average impact force is obtained. The unit pulse function includes a back-peak toothed pulse, a symmetrical triangular pulse, a sine pulse, a sinusoidal half-wave pulse, and a rectangular pulse. One unit pulse function corresponds to one integral formula for the average impact force. The expression for the peak impact force is obtained based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient is... For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. For the duration of the strike, The base mass includes equipment and foundation mass; Before obtaining the expression for the peak impact force based on the pulse peak factor, rebound coefficient, and influence coefficient, the following steps are included: obtaining the relationship between the pulse peak value and the average impact force based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor; The expression for the peak impact force is derived based on the pulse peak factor, rebound coefficient, and influence coefficient, including: obtaining the rebound coefficient, and obtaining the influence coefficient based on the rebound coefficient, as shown in the formula. ,in, The influence coefficient, This is the rebound coefficient.
2. The method according to claim 1, characterized in that, The formula for obtaining the average impact force includes: The striking force function is obtained by the following formula: , Let the striking force function be... It is a unit impulse function. This represents the peak impact force.
3. The method according to claim 1, characterized in that, Based on the unit impulse function and the formula for the average impact force, the integral formula for the average impact force is obtained, including: Five unit impulse functions are obtained, including the following formula for the post-peak tooth-shaped impulse function: The formula for a symmetrical triangular pulse is: The formula for the sine pulse is: The formula for a sinusoidal half-wave pulse is: The formula for a rectangular pulse is: .
4. The method according to claim 3, characterized in that, Based on the unit impulse function and the formula for the average impact force, the integral formula for the average impact force is obtained, including: Based on the formula for the average striking power, the integral formula for the average striking power is obtained. At that time, the integral formula of the average impact force is: ,in, The first moment corresponding to the first stage of the forging hammer strike. For the duration of the strike, This represents the average striking power. Peak striking power It is a unit impulse function.
5. The method according to claim 4, characterized in that, Based on the unit impulse function and the formula for the average impact force, the integral formula for the average impact force is obtained, including: Substituting the unit pulse function into the summative formula for the average impact force, we obtain the integral formula for the average impact force, including: the integral formula for the back-peak toothed pulse: The formula for the pulse integral of a symmetrical triangle: The formula for the sine pulse integral is: The integral formula for a sinusoidal half-wave pulse: Rectangular pulse integral formula: , .
6. A quantitative analysis device for the impact characteristics of a forging hammer based on a pulse function, characterized in that, include: The first acquisition unit is used to obtain the formula for the average impact force, which is: ,in, This represents the average striking power. The first moment corresponding to the first stage of the forging hammer strike. The impact force function; The second acquisition unit is used to acquire the integral formula of the average impact force based on the unit pulse function and the formula of the average impact force. The unit pulse function includes a back-peak toothed pulse, a symmetrical triangle pulse, a sine pulse, a sinusoidal half-wave pulse, and a rectangular pulse. One unit pulse function corresponds to one integral formula of the average impact force. The third acquisition unit is used to obtain the expression for the peak impact force based on the pulse peak factor, rebound coefficient, and influence coefficient. The formula is as follows: ,in, Peak striking power The influence coefficient is... For pulse peak factor, For the quality of the hammerhead, For the hammer's striking speed, , For mass ratio, It is the reciprocal of the mass ratio. For the duration of the strike, The base mass includes equipment and foundation mass; The third acquisition subunit is used to obtain the relationship between the pulse peak value and the average impact force based on the unit pulse function, as shown in the formula: ,in, Peak striking power For pulse peak factor, For the average impact force, one unit pulse function corresponds to one pulse peak factor; The fourth acquisition subunit is used to acquire the springback coefficient and obtain the influence coefficient based on the springback coefficient, using the following formula: ,in, The influence coefficient, This is the rebound coefficient.
7. A computer-readable storage medium, characterized in that, The computer-readable storage medium includes a stored program, wherein, when the program is executed, it controls the device containing the computer-readable storage medium to perform a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function, as described in any one of claims 1 to 5.
8. An electronic device, characterized in that, include: One or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, the one or more programs including methods for performing a quantitative analysis method for the impact characteristics of a forging hammer based on a pulse function as described in any one of claims 1 to 5.
Citation Information
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