A cutting design method and system for a frequency-stabilizing resonator within a wide temperature range

Abstract

The present invention discloses a cutting design method and system for a frequency-stabilizing resonator within a wide temperature range, belonging to the field of resonator technology, and the method includes: in response to the cutting input by the user on the interactive interface, determining the expression between the coordinate transformation matrix and the corner, and the expression between the key parameter and the corner; based on the expression between the coordinate transformation matrix and the corner, the expression between the key parameter and the corner, and the design threshold of the key parameter, screening out the angle range that meets all the design thresholds; according to the temperature-frequency coefficients of each order corresponding to each corner within the angle range, determining the temperature-frequency curve corresponding to each corner; based on the preset frequency deviation range and all temperature-frequency curves, traversing all the corners within the angle range, finding the widest temperature range corresponding to the preset frequency deviation range, and using the corresponding corner as the recommended cutting design. The method can realize the automatic calculation of theoretical derivation and numerical calculation, reduce manual intervention, and improve calculation efficiency and accuracy.

Description

Technical Field

[0001] The invention belongs to the technical field of resonators, and in particular relates to a cutting design method and system for a frequency-stabilizing resonator within a wide temperature range. Background Art

[0002] A quartz resonator is a device made using the principle that when the frequency of an electrical signal is equal to the natural frequency of a quartz crystal, the crystal will resonate due to the piezoelectric effect. It has outstanding advantages in frequency stabilization, frequency selection, and precision timing, and is a key component of crystal oscillators and narrowband filters.

[0003] Temperature is one of the most important factors affecting the frequency stability of quartz resonators. When designing a quartz resonator that can work stably over a wide temperature range, the design of the cut shape has a particularly great impact on the performance. Figure 1 The following are schematic diagrams of several types of quartz crystal cuts, including AT cut, BT cut, FC cut, SC cut, etc. The stiffness coefficient, compliance coefficient, temperature coefficient of each frequency order, piezoelectric constant and other parameters of the quartz crystal are closely related to the cut type. If the cut type design can be accurately and efficiently realized through the relationship between the quartz crystal parameters and the cut type, it will play a significant role in promoting the development cycle of frequency-stabilizing resonator products and the innovation of cut angle design.

[0004] At present, the existing cutting design method mainly selects the appropriate single-angle or double-angle cutting through some theoretical derivation and numerical calculation, so that the frequency change caused by temperature change can be compensated within a certain limit, thereby reducing the temperature sensitivity of the frequency. For example, the AT-cut with a single angle (YXl 35.25°) has a zero temperature coefficient, and the SC-cut quartz wafer with a double angle (YXwl22.5°, 34.11°) has a low temperature frequency coefficient and a zero stress coefficient. The quartz resonator made of it has good frequency-temperature characteristics.

[0005] However, when dealing with complex temperature fields, the existing cutting design methods often require a lot of manual adjustments and verifications in theoretical derivation and numerical calculation steps, which is not only time-consuming and labor-intensive, but also prone to calculation errors. In addition, the calculation relationship between multiple corner cutting and key parameters is cumbersome, which will also lead to a long quartz cutting design cycle. In addition, the existing cutting design methods cannot observe data intuitively, which is not convenient for designers to understand and analyze data. Summary of the invention

[0006] In order to solve at least one problem existing in the prior art, the present invention provides a cutting design method for a frequency-stabilizing resonator within a wide temperature range. The technical problem to be solved by the present invention is achieved by the following technical solution:

[0007] In a first aspect, the present invention proposes a cutting design method for a frequency-stabilizing resonator in a wide temperature range, comprising:

[0008] In response to the cut type input by the user on the interactive interface, an expression between the coordinate transformation matrix and the rotation angle, and an expression between the key parameters and the rotation angle are determined; wherein the key parameters include the stiffness coefficient, the piezoelectric coefficient and the elastic coefficient of the quartz crystal;

[0009] Based on the expressions between the coordinate transformation matrix and the rotation angle, the expressions between the key parameters and the rotation angle, and the design thresholds of the key parameters, the rotation angle range that meets all the design thresholds is screened out;

[0010] According to each order of temperature-frequency coefficient corresponding to each corner within the angle range, a temperature-frequency curve corresponding to each corner is determined;

[0011] Based on the preset frequency deviation range and all temperature-frequency curves, all corners within the corner range are traversed to find the widest temperature range corresponding to the preset frequency deviation range, and the corner corresponding to the temperature-frequency curve where the widest temperature range is located is used as the recommended cutting design.

[0012] In one embodiment of the present invention, it also includes:

[0013] Output the expressions between the coordinate transformation matrix and the rotation angle, and the expressions between the key parameters and the rotation angle to the interactive interface for display.

[0014] In one embodiment of the present invention, it also includes:

[0015] In response to the cutting type and ambient temperature information input by the user on the interactive interface, a four-dimensional visualization image of key parameters and turning angles is generated; the four-dimensional visualization image is used to display to the user through the interactive interface.

[0016] In one embodiment of the present invention, it also includes:

[0017] A portion of the four-dimensional visualization image corresponding to the rotation angle range is selected from the four-dimensional visualization image; the portion of the four-dimensional visualization image is used to display to the user through an interactive interface.

[0018] In one embodiment of the present invention, according to each order temperature-frequency coefficient corresponding to each corner within the angle range, determining the temperature-frequency curve corresponding to each corner includes:

[0019] Based on a preset temperature-frequency coefficient prediction model, the first, second and third order temperature-frequency coefficients corresponding to each angle within the angle range are determined; wherein the temperature-frequency coefficient prediction model is based on the temperature-frequency characteristics of the quartz crystal, combined with the thickness of the quartz crystal, the vibration frequency calculation formula and the frequency drift formula, to establish the theoretical derivation formula of the first, second and third order temperature-frequency coefficients and the angle;

[0020] According to the first, second and third order temperature-frequency coefficients corresponding to each corner, the temperature-frequency curve corresponding to each corner is determined.

[0021] In one embodiment of the present invention, it also includes:

[0022] Based on the temperature-frequency coefficient prediction model, a four-dimensional scatter plot of the first, second and third order temperature-frequency coefficients changing with the rotation angle is obtained; the four-dimensional scatter plot is used to display to the user through an interactive interface.

[0023] In one embodiment of the present invention, based on a preset frequency deviation range and all temperature-frequency curves, all corners within the corner range are traversed to find the widest temperature range corresponding to the preset frequency deviation range, and the corner corresponding to the temperature-frequency curve where the widest temperature range is located is used as a recommended cutting design, including:

[0024] Define a global variable max_Len;

[0025] For a certain angle within the angle range, take the temperature-frequency curve corresponding to the angle as the reference, increase or decrease the temperature to make the operating frequency of the quartz crystal shift, find out the temperature range where the frequency change is still within the frequency deviation range when the temperature changes, and define it as the local variable Len;

[0026] If Len>max_Len, update the global variable max_Len to the current local variable Len;

[0027] Traverse all the corners within the corner range, determine the final global variable max_Len as the widest temperature range that can stabilize the frequency of the quartz resonator, and use the corner corresponding to the temperature-frequency curve where the widest temperature range is located as the recommended cut design.

[0028] In one embodiment of the present invention, it also includes:

[0029] Output the widest temperature range, the corresponding rotation angle and the corresponding temperature-frequency coefficients of each order to the interactive interface for display.

[0030] In one embodiment of the present invention, it also includes:

[0031] In response to the cutting type, cutting angle data, ambient temperature information and frequency deviation range input by the user on the interactive interface, the expression between the coordinate transformation matrix and the angle, the expression between the key parameters and the angle, and the specific values ​​of the coordinate transformation matrix and the key parameters are determined and output to the interactive interface for display.

[0032] In a second aspect, the present invention provides a cutting design system for a frequency-stabilizing resonator within a wide temperature range, comprising:

[0033] A data processing module, used to implement a cutting design method for a frequency-stabilizing resonator within a wide temperature range proposed in the first aspect of the present invention;

[0034] The display module is connected to the data processing module and is used to display the interactive interface.

[0035] Beneficial effects of the present invention:

[0036] 1. The present invention proposes a cutting design method for a frequency-stabilizing resonator within a wide temperature range. The relationship between the key cutting parameters and the turning angle of the quartz resonator under different temperature fields is automatically derived through coordinate transformation, and the turning angle points that meet the design thresholds of the key parameters of the frequency-stabilizing resonator are screened. Finally, the temperature-frequency curve corresponding to the turning angle is used to find the cutting pattern of the frequency-stabilizing resonator within a wide temperature range within the screened turning angle range. This method can realize the automated calculation of theoretical derivation and numerical calculation, reduce manual intervention, and improve calculation accuracy. At the same time, by screening the turning angle range, the amount of calculation is reduced, the calculation efficiency is improved, and the development cycle of the frequency-stabilizing resonator product is shortened;

[0037] 2. The present invention also uses four-dimensional data visualization technology to display the complex four-dimensional data in the algorithm implementation process in an intuitive and clear manner on the interactive interface, so that users can better understand and analyze the data.

[0038] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] Figure 1 It is a schematic diagram of several existing quartz crystal cuts;

[0040] Figure 2 It is a flow chart of a method for designing a cutout of a frequency-stabilizing resonator within a wide temperature range provided by an embodiment of the present invention;

[0041] Figure 3 It is a flow chart of another method for designing a cut-out shape of a frequency-stabilizing resonator within a wide temperature range provided by an embodiment of the present invention;

[0042] Figure 4 is a schematic diagram of an interactive interface provided by an embodiment of the present invention;

[0043] Figure 5 is a four-dimensional visualization image reflecting the relationship between the stiffness coefficient c66' and the rotation angle provided by an embodiment of the present invention;

[0044] Figure 6 is a four-dimensional visualization image reflecting the relationship between the piezoelectric coefficient d26' and the rotation angle provided by an embodiment of the present invention;

[0045] Figure 7 is a four-dimensional visualization image reflecting the relationship between the elastic coefficient s16' / s66' and the rotation angle provided by an embodiment of the present invention;

[0046] Figure 8 is a four-dimensional visualization image reflecting the relationship between the elastic coefficient s26' / s66' and the rotation angle provided by an embodiment of the present invention;

[0047] Fig. 9 is a four-dimensional visualization image reflecting the relationship between the elastic coefficient s36' / s66' and the rotation angle provided by an embodiment of the present invention;

[0048] Fig.10 is a four-dimensional visualization image reflecting the relationship between the elastic coefficient s46' / s66' and the rotation angle provided by an embodiment of the present invention;

[0049] Fig.11 is a four-dimensional visualization image reflecting the relationship between the elastic coefficient s56' / s66' and the rotation angle provided by an embodiment of the present invention;

[0050] Fig.12 is a summary diagram of the rotation angle ranges that meet the design thresholds of various parameters after screening provided by an embodiment of the present invention;

[0051] Fig.13 It is the first-order temperature-frequency coefficient Tf provided by the embodiment of the present invention. (1) Four-dimensional scatter plot of the relationship between the rotation angle;

[0052] Fig.14 The second-order temperature-frequency coefficient Tf provided by the embodiment of the present invention (2) Four-dimensional scatter plot of the relationship between the rotation angle;

[0053] Fig.15 The third-order temperature-frequency coefficient Tf provided by the embodiment of the present invention (3) Four-dimensional scatter plot of the relationship between the rotation angle;

[0054] Fig.16 1 is a comparison result of frequency drift between the AT cutting and the three-angle frequency stabilization cutting type YX1wt cutting provided in the embodiment of the present invention. DETAILED DESCRIPTION

[0055] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0056] The first aspect of the present invention provides a cutting design method for a frequency-stabilizing resonator within a wide temperature range. Figure 2 , Figure 21 is a flow chart of a method for designing a cut-out shape of a frequency-stabilizing resonator within a wide temperature range provided by an embodiment of the present invention. The method specifically comprises the following steps:

[0057] Step 1: In response to the cut type input by the user on the interactive interface, determine the expression between the coordinate transformation matrix and the rotation angle, and the expression between the key parameters and the rotation angle; wherein the key parameters include the stiffness coefficient, piezoelectric coefficient and elastic coefficient (also called elastic compliance coefficient) of the quartz crystal.

[0058] In this embodiment, the cutting type can be represented by 3 to 5 letters, wherein the first two letters determine the original direction of the thickness and length of the quartz wafer, and the optional letters are "X", "Y", and "Z". The last three letters use the letters t (thickness), l (length), and w (width) to represent the positions of the primary, secondary, and tertiary rotation axes respectively. The position of the tertiary rotation axis can be automatically determined based on the positions of the primary and secondary rotation axes.

[0059] Exemplarily, this embodiment is mainly introduced by taking the YXlwt (θ, Φ, Ψ) cutting type as an example, which corresponds to three rotation angles θ, Φ, and Ψ, wherein θ represents the rotation angle around the x-axis, Φ represents the rotation angle around the y-axis, and Ψ represents the rotation angle around the z-axis.

[0060] After obtaining the cut type input by the user on the interactive interface, the expression between the coordinate transformation matrix and the rotation angle, and the expression between the key parameter and the rotation angle can be determined. Among them, the key parameters include the stiffness coefficient, piezoelectric coefficient and elastic coefficient of the quartz crystal. It can be understood that this embodiment mainly selects some elastic coefficients s61'~s66', also called the elastic coefficient matrix.

[0061] Specifically, the cut type is substituted into the initial matrix for coordinate transformation, and the expression between the elastic coefficient matrix composed of the stiffness coefficient c66', piezoelectric coefficient d26' and partial elastic coefficients s61'~s66' of the cut type and the rotation angle is obtained. Among them, the initial matrix of the coordinate transformation matrix, stiffness coefficient, piezoelectric coefficient and elastic coefficient is expressed as follows:

[0062] ;

[0063] ;

[0064] ;

[0065] ;

[0066] Wherein, a represents the initial coordinate transformation matrix, c, d, s represent the initial stiffness coefficient matrix, piezoelectric coefficient matrix and elastic coefficient matrix of the quartz crystal respectively, and the elements in the matrix represent the coefficients corresponding to different directions. It should be noted that each coefficient in the initial matrix is ​​relative to the initial position. In this embodiment, the symbol "'" is added after each subsequent coefficient to indicate the rotated coefficient to distinguish it from the coefficients in the initial matrix.

[0067] It can be understood that the above initial matrix is ​​fixed, but the rotation axis order and rotation angle are optional.

[0068] As an implementation method, this embodiment can also output the expression between the coordinate transformation matrix and the rotation angle, and the expression between the key parameter and the rotation angle to the interactive interface for display. It can be understood that different cut types correspond to different expressions.

[0069] Furthermore, in another embodiment of the present invention, it also includes:

[0070] In response to the cutting type and ambient temperature information input by the user on the interactive interface, a four-dimensional visualization image of key parameters and turning angles is generated; the four-dimensional visualization image is used to display to the user through the interactive interface.

[0071] On the one hand, this embodiment obtains the expressions between the key parameters of the cut to be designed and the turning angle through automatic calculation, which reduces manual intervention and improves calculation accuracy. On the other hand, it also converts the relationship between the key parameters and the turning angle into a four-dimensional visual image and displays it to the user in an interactive interface, which can help the user better understand and analyze the data.

[0072] Step 2: Based on the expression between the coordinate transformation matrix and the rotation angle, the expression between the key parameter and the rotation angle, and the design threshold of the key parameter, filter out the rotation angle range that meets all the design thresholds.

[0073] Generally speaking, when setting the thresholds of key parameters, some key parameters can be selected for setting, and the design thresholds of each key parameter can adopt the default design thresholds, as shown in the following Table 1:

[0074] Table 1 Comparison of key parameters and default design thresholds

[0075]

[0076] Based on the above design thresholds, combined with the expressions between the coordinate transformation matrix and the rotation angle, and the expressions between the key parameters and the rotation angle, the rotation angle range that meets all design thresholds can be obtained through mathematical operations.

[0077] It is understandable that, according to the determined turning angle range, a partial four-dimensional visualization image corresponding to the turning angle range may be selected from the four-dimensional visualization image; the partial four-dimensional visualization image is used to display to the user through the interactive interface.

[0078] This embodiment reduces the number of corners that need to be calculated, reduces the amount of calculation, improves the calculation efficiency, and thus shortens the development cycle of the frequency-stabilizing resonator product by screening the angle range.

[0079] It should be noted that if the rotation angle range that satisfies the design thresholds of the quartz resonator is not obtained, that is, if the cutting angle that satisfies the design thresholds of the quartz resonator is not found under the cutting type, the program is directly terminated.

[0080] Step 3: According to the temperature-frequency coefficients of each order corresponding to each corner within the angle range, determine the temperature-frequency curve corresponding to each corner.

[0081] First, based on a preset temperature-frequency coefficient prediction model, the first, second, and third-order temperature-frequency coefficients corresponding to each angle within the angle range are determined; wherein the temperature-frequency coefficient prediction model is based on the temperature-frequency characteristics of the quartz crystal, combined with the thickness of the quartz crystal, the vibration frequency calculation formula and the frequency drift formula, to establish theoretical derivation formulas for the first, second, and third-order temperature-frequency coefficients and the angle. For a detailed derivation process, please refer to the introduction of existing related technologies, such as the book "Piezoelectric Quartz Crystal" published by the National Defense Industry Press.

[0082] Specifically, different rotation angles within the rotation angle range are respectively substituted into the first, second and third order temperature-frequency coefficient prediction models to obtain the first, second and third order temperature-frequency coefficients of the rotation angles.

[0083] Optionally, as an implementation method, different rotation angle values ​​may be selected within the rotation angle range obtained in step 2 at intervals of 1° to calculate the temperature-frequency coefficient.

[0084] It should be noted that this embodiment can also obtain a four-dimensional scatter plot of the first, second and third order temperature-frequency coefficients changing with the rotation angle based on the temperature-frequency coefficient prediction model; the four-dimensional scatter plot is used to display to the user through an interactive interface to facilitate the user to understand and analyze the data.

[0085] Then, the temperature-frequency curve corresponding to each corner is determined according to the first, second and third order temperature-frequency coefficients corresponding to each corner.

[0086] Specifically, a unique temperature-frequency curve can be determined according to the first, second, and third order temperature-frequency coefficients corresponding to each corner, and the curve reflects the change of the frequency of the quartz resonator with temperature at the corresponding cutting angle.

[0087] Step 4: Based on the preset frequency deviation range and all temperature-frequency curves, traverse all corners within the corner range, find the widest temperature range corresponding to the preset frequency deviation range, and use the corner corresponding to the temperature-frequency curve where the widest temperature range is located as the recommended cutting design.

[0088] See also Figure 3 , Figure 3 It is a flow chart of another method for designing a cutting pattern of a frequency-stabilizing resonator within a wide temperature range provided by an embodiment of the present invention.

[0089] Specifically, based on the rotation angle range obtained in step 2 and the temperature-frequency curve obtained in step 3, the recommended cutting design is determined according to the following steps 1)-4).

[0090] 1) Define a global variable max_Len;

[0091] 2) For a certain angle within the angle range, take the temperature-frequency curve corresponding to the angle as the reference, increase or decrease the temperature to make the operating frequency of the quartz crystal shift, find out the temperature range in which the frequency change is still within the preset frequency deviation range when the temperature changes, and define it as a local variable Len;

[0092] 3) If Len>max_Len, update the global variable max_Len to the current local variable Len;

[0093] 4) Traverse all the corners within the corner range, determine the final global variable max_Len as the widest temperature range that can stabilize the frequency of the quartz resonator, and use the corner corresponding to the temperature-frequency curve where the widest temperature range is located as the recommended cut design.

[0094] In addition, the widest temperature range within which the frequency of the quartz resonator can be stabilized can be directly determined on the temperature-frequency curve according to the preset frequency deviation range.

[0095] It can be understood that since the rotation angle range is screened under the constraints of the stiffness coefficient, piezoelectric coefficient, elastic coefficient, and the frequency deviation range given by the user, the recommended cut design obtained is the optimal cut that meets the requirements of high piezoelectric activity, less parasitic coupling, and a high stable frequency range.

[0096] After obtaining the recommended cutting design, it is necessary to output the widest temperature range, the corresponding rotation angle, and the corresponding temperature-frequency coefficients of each order to the interactive interface for display.

[0097] Furthermore, in another embodiment of the present invention, it also includes:

[0098] In response to the cutting type, cutting angle data, ambient temperature information and frequency deviation range input by the user on the interactive interface, the expression between the coordinate transformation matrix and the angle, the expression between the key parameters and the angle, and the specific values ​​of the coordinate transformation matrix and the key parameters are determined and output to the interactive interface for display.

[0099] Designers can verify the existing cutting data in this way to help them establish a preset model related to the design of the frequency-stabilizing resonator and determine the feasibility of the cutting angle design.

[0100] The present invention proposes a cutting design method for a frequency-stabilizing resonator within a wide temperature range. The relationship between the key cutting parameters and the turning angle of the quartz resonator under different temperature fields is automatically derived through coordinate transformation, and the turning angle points that meet the design thresholds of the key parameters of the frequency-stabilizing resonator are screened. Finally, the temperature-frequency curve corresponding to the turning angle is used to find the cutting pattern of the frequency-stabilizing resonator within a wide temperature range within the screened turning angle range. This method can realize the automated calculation of theoretical derivation and numerical calculation, reduce manual intervention, and improve calculation accuracy. At the same time, by screening the turning angle range, the amount of calculation is reduced, the calculation efficiency is improved, and the development cycle of the frequency-stabilizing resonator product is shortened. In addition, the present invention also uses four-dimensional data visualization technology to display the complex four-dimensional data in the algorithm implementation process in an intuitive and clear manner on the interactive interface, so that users can better understand and analyze the data.

[0101] The second aspect of the present invention also provides a cutting design system for a frequency-stabilizing resonator in a wide temperature range, comprising:

[0102] The data processing module can be integrated as software and run in the system background, and is used to implement a cutting design method for a frequency-stabilizing resonator within a wide temperature range provided by the first aspect of the present invention. The detailed process can be found in the embodiment of the first aspect above.

[0103] The display module is connected to the data processing module and is used to display the interactive interface.

[0104] Taking the YXlwt (θ, Φ, Ψ) cutting design as an example, the process of cutting design using the cutting design system for a frequency-stabilizing resonator within a wide temperature range provided by the present invention is introduced.

[0105] For example, see Figure 4 , Figure 4 It is a schematic diagram of an interactive interface provided by an embodiment of the present invention, which is provided with a cut type input area, a parameter relationship output area and an optimal cut type design parameter output area.

[0106] Specifically, the user can input the cut to be designed in the cut input area and start the algorithm by clicking the "solve" button. The data processing module in the system background first calculates and generates the expression between the coordinate transformation matrix and the rotation angle, the stiffness coefficient c66', the piezoelectric coefficient d26', and the expressions between each elastic coefficient s61'~s66' and the rotation angle, and displays them in the parameter relationship output area, such as Figure 4 The lower left and upper right areas of the .

[0107] Furthermore, after the parameter expression calculation is completed, the data processing module in the system background will generate four-dimensional visualization images reflecting the functional relationship between each key parameter and the rotation angle, such as Figure 5-11 As shown, the corresponding relationship between the image name and the image number is shown in Table 2 below:

[0108] Table 2 Correlation between image names and image numbers

[0109]

[0110] Furthermore, the data processing module in the background of the system will screen out the angle range that meets all the design thresholds based on the expression between the coordinate transformation matrix and the angle, the expression between the key parameter and the angle, and the design threshold of the key parameter, and generate a summary diagram of the angle range that meets the design threshold of each key parameter after screening, such as Fig.12 shown.

[0111] Then, the data processing module in the background of the system will obtain a four-dimensional scatter plot of the first, second, and third order temperature-frequency coefficients as a function of the rotation angle based on the temperature-frequency coefficient prediction model. Figure 13-15 As shown, Fig.13 is the first-order temperature-frequency coefficient Tf (1) A four-dimensional scatter plot of the relationship between and the rotation angle, Fig.14 is the second-order temperature-frequency coefficient Tf (2) A four-dimensional scatter plot of the relationship between and the rotation angle, Fig.15 is the third-order temperature-frequency coefficient Tf (3) Four-dimensional scatter plot of the relationship between and the rotation angle.

[0112] Finally, by traversing all the corners within the corner range, the widest temperature range that can stabilize the frequency of the quartz resonator is found, and the corresponding corner is used as the recommended cutting design. At the same time, the widest temperature range, the corresponding corner and the corresponding temperature-frequency coefficients of each order are displayed on the interactive interface.

[0113] After calculation, the optimal cutting result of the design of this embodiment is (YXlwt 32°, 25°, -9°, ambient temperature 30°C), as shown in FIG. Figure 4 as shown in the lower right area of ​​.

[0114] In addition, this embodiment also compares the frequency drift of AT cutting and three-angle frequency stabilization cutting type YX1wt cutting, and the results are as follows: Fig.16 As shown, Fig.16 The horizontal axis represents the ambient temperature T in °C, and the vertical axis represents the frequency drift , It indicates the difference between the stable resonant frequency at the current temperature and the stable resonant frequency at the reference temperature. It can be seen that the method and system provided by the present invention can predict the cutting angle with stable performance: YXlwt cutting, and its temperature-frequency curve (such as Fig.16 YXlwt-cut corresponds to the dotted line in the figure) from 10°C to 207°C and can be within a given frequency deviation range (such as Fig.16 The straight line in the figure shows that the given value is ±1e-5) remains stable, and the temperature-frequency curve of AT cut (such as Fig.16 Compared with the AT-cut (shown by the dotted line corresponding to the AT-cut), it has better frequency stability characteristics.

[0115] The cutting design method of the frequency-stabilizing resonator in a wide temperature range provided by the present invention has broad application prospects in the design, testing and optimization of quartz resonators. The accurate calculation of the key parameters of the three-angle cutting under the temperature field and the four-dimensional visual display can help designers better understand and improve the performance of the quartz resonator. The cutting angle is screened by integrated software, so as to more quickly and accurately obtain the excellent design cutting of the frequency-stabilizing resonator with high precision and high stability in a wide temperature range.

[0116] The above contents are further detailed descriptions of the present invention in combination with specific preferred embodiments, and it cannot be determined that the specific implementation of the present invention is limited to these descriptions. For ordinary technicians in the technical field to which the present invention belongs, several simple deductions or substitutions can be made without departing from the concept of the present invention, which should be regarded as falling within the protection scope of the present invention.

Claims

1. A cutting design method for a frequency-stabilizing resonator in a wide temperature range, characterized in that: include: In response to the cut type input by the user on the interactive interface, an expression between the coordinate transformation matrix and the rotation angle, and an expression between the key parameter and the rotation angle are determined; wherein the cut type includes a three-angle cut type; the key parameters include a stiffness coefficient c66', a piezoelectric coefficient d26', and elastic coefficients s61'-s66' of the quartz crystal; Based on the expression between the coordinate transformation matrix and the rotation angle, the expression between the key parameter and the rotation angle, and the design threshold of the key parameter, the rotation angle range that meets all the design thresholds is screened out; wherein the absolute value of the ratio of each staggered elastic coefficient to s66' is less than or equal to 0.2; Determine the temperature-frequency curve corresponding to each corner according to the temperature-frequency coefficients of each order corresponding to each corner within the angle range; Based on the preset frequency deviation range and all temperature-frequency curves, traverse all corners within the corner range, find the widest temperature range corresponding to the preset frequency deviation range, and use the corner corresponding to the temperature-frequency curve where the widest temperature range is located as the recommended cutting design; including: Define a global variable max_Len; For a certain angle within the angle range, taking the temperature-frequency curve corresponding to the angle as a reference, by increasing or decreasing the temperature, the operating frequency of the quartz crystal is shifted, and the temperature range in which the frequency change is still within the frequency deviation range when the temperature changes is found, which is defined as a local variable Len; If Len>max_Len, update the global variable max_Len to the current local variable Len; All the corners within the corner range are traversed, the final global variable max_Len is determined as the widest temperature range that can stabilize the frequency of the quartz resonator, and the corner corresponding to the temperature-frequency curve where the widest temperature range is located is used as the recommended cut design.

2. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 1, characterized in that: Also includes: Output the expression between the coordinate transformation matrix and the rotation angle, and the expression between the key parameter and the rotation angle to the interactive interface for display.

3. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 1, characterized in that: Also includes: In response to the cutting type and ambient temperature information input by the user on the interactive interface, a four-dimensional visualization image of the key parameters and the turning angle is generated; The four-dimensional visualization image is used to be displayed to the user through the interactive interface.

4. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 3, characterized in that: Also includes: Selecting a portion of the four-dimensional visualization image corresponding to the rotation angle range from the four-dimensional visualization image; The partial four-dimensional visualization image is used to be displayed to the user through the interactive interface.

5. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 1, characterized in that: According to each order temperature-frequency coefficient corresponding to each corner within the angle range, determining the temperature-frequency curve corresponding to each corner includes: Based on a preset temperature-frequency coefficient prediction model, the first, second and third order temperature-frequency coefficients corresponding to each corner within the angle range are determined; wherein the temperature-frequency coefficient prediction model is based on the temperature-frequency characteristics of a quartz crystal, combined with the thickness of the quartz crystal, the vibration frequency calculation formula and the frequency drift formula, to establish a theoretical derivation formula of the first, second and third order temperature-frequency coefficients and the angle; According to the first, second and third order temperature-frequency coefficients corresponding to each corner, the temperature-frequency curve corresponding to each corner is determined.

6. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 5, characterized in that: Also includes: Based on the temperature-frequency coefficient prediction model, a four-dimensional scatter plot of the first-order, second-order and third-order temperature-frequency coefficients changing with the rotation angle is obtained; The four-dimensional scatter plot is used to display to the user through the interactive interface.

7. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 1, characterized in that: Also includes: The widest temperature range, the corresponding rotation angle, and the corresponding temperature-frequency coefficients of each order are output to the interactive interface for display.

8. The method for designing a cutout shape of a frequency-stabilizing resonator within a wide temperature range according to claim 1, characterized in that: Also includes: In response to the cutting type, cutting angle data, ambient temperature information and frequency deviation range input by the user on the interactive interface, the expression between the coordinate transformation matrix and the angle, the expression between the key parameter and the angle, and the specific values ​​of the coordinate transformation matrix and the key parameter are determined and output to the interactive interface for display.

9. A cutting design system for a frequency-stabilizing resonator within a wide temperature range, characterized in that: include: A data processing module, used to implement the cutting design method of a frequency-stabilizing resonator in a wide temperature range as described in any one of claims 1 to 8; A display module is connected to the data processing module and is used to display the interactive interface.

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