A method for calculating a titanium alloy ingot batching

Abstract

The application discloses a kind of titanium alloy ingot batching calculation method, based on the principle of mass balance, by defining alloy element mass proportion core parameter, establish multiple element linear equation group and transform into standardized matrix operation form, utilize matrix solution algorithm to obtain the mass proportion coefficient of each element corresponding raw material, combined with target ingot mass to calculate the accurate addition amount of each raw material.The present application can cover multiple alloy elements and impurity elements commonly used in titanium alloy, realize the synchronous accurate solution of multiple element system, simplify the calculation process, reduce the artificial error, suitable for different types of titanium alloy ingot batching calculation, significantly improve the batching precision and production efficiency, reduce raw material waste and scrap rate, have important industrial application value.

Description

Technical Field

[0001] This invention relates to the field of titanium alloy material preparation technology, and specifically to a method for calculating the batching of titanium alloy ingots. Background Technology

[0002] Titanium alloys, with their superior comprehensive properties such as high strength, low density, strong corrosion resistance, and high temperature resistance, have become core materials in key fields such as aerospace, marine engineering, medical devices, and high-end equipment manufacturing. As the basic raw material for subsequent processed products, the uniformity and stability of the composition of titanium alloy ingots directly determine the core indicators of the final product, such as mechanical properties and corrosion resistance. Material batching calculation is the first critical step in ensuring the accuracy of the titanium alloy ingot composition, and its accuracy directly affects the production qualification rate and production cost.

[0003] In the preparation of titanium alloy ingots, the core objective of batching calculation is to accurately determine the added mass of each alloy raw material (pure element raw material or alloy master alloy) according to the alloy design requirements, ensuring that the mass ratio of each element in the final ingot strictly conforms to the design standards. With the continuous expansion of titanium alloy applications, the performance requirements are becoming increasingly stringent. Titanium alloy systems are gradually evolving from simple binary and ternary alloys to complex multi-element systems that include main alloying elements, alloying elements, trace strengthening elements, and strictly controlled impurity elements. Some high-end titanium alloys now target more than 20 different elements.

[0004] Currently, titanium alloy batching calculations mainly include single-element calculation methods and simple linear superposition methods. The single-element calculation method takes a core element as a benchmark, first calculates the amount of raw materials to be added, and then adjusts the raw material ratios for other elements in turn. This method completely ignores the mutual influence between multiple elements. The raw materials added later will introduce other elements, causing the calculated element ratios to deviate from the target values. Repeated iterative adjustments are required. Not only is the calculation process cumbersome and extremely inefficient, but the more iterations there are, the more serious the error accumulation becomes, making it difficult to meet the precise batching requirements of multi-element systems.

[0005] The simple linear superposition method assumes that the amount of each element added to the raw material is independent, directly calculating the amount of raw material based on the target proportion of each element and then simply adding them together. The core flaw of this method is that it violates the principle of mass balance in the batching process. In actual batching, a single raw material may contain multiple target elements (such as intermediate alloy raw materials), or impurity elements in the raw material may participate in the calculation of the proportion of target elements. Simple superposition leads to double counting or omission of element mass contributions, ultimately causing the ingot composition to deviate significantly from the design requirements. For example, when using intermediate alloy raw materials containing aluminum and iron, simple linear superposition will ignore the additional contribution of iron, resulting in excessive iron content.

[0006] Matrix operations, as a mature multivariate simultaneous solution tool, have advantages such as rigorous logic, high computational efficiency, and controllable error, making them perfectly suited for the batching calculation needs of multi-element systems. Therefore, this application proposes a matrix operation-based batching calculation model for titanium alloy ingots, addressing the core problems of low accuracy and low efficiency in existing methods, and providing technical support for the high-quality production of complex titanium alloy systems. Summary of the Invention

[0007] The present invention aims to provide a calculation method for titanium alloy ingot batching. Through standardized parameter definition, equation establishment and matrix operation, it achieves accurate and efficient calculation of titanium alloy batching, simplifies the calculation process and improves production efficiency.

[0008] To achieve the above objectives, the first aspect of the present invention provides a method for calculating the batching of titanium alloy ingots, comprising the following steps: S1, Select m Select target alloying elements k One type of raw material; let the first j The percentage of the mass of a certain element in the total mass M of the alloy ingot (A) j ( j =1,2,...,m), let the first... i The mass percentage of the j-th target element in the raw material is λ ij ( i =1,2,...,k; j =1,2,...,m), the first i The weight of the raw material is M i ; S2. Based on the principle of mass balance, establish m A series of parallel linear equations, each corresponding to... m The mass balance relationship of the target elements; each equation is in the form of: ; S3. Transform the linear equations from step S2 into matrix operation equations. M=A Mr. M, in for First-order raw material-element ratio matrix, M for Raw material quality column matrix A for 1 m Row matrix showing the proportion of target elements in order; S4. Solve the above matrix equations using a matrix solving algorithm to obtain the mass of each raw material added. .

[0009] Furthermore, the target alloying elements include: titanium, aluminum, tin, zirconium, gallium, indium, molybdenum, vanadium, niobium, tantalum, chromium, manganese, copper, oxygen, nitrogen, hydrogen, carbon, iron, silicon, chlorine, sodium, potassium, calcium, magnesium, and lead.

[0010] Furthermore, the value of n ranges from 1 to 25.

[0011] Furthermore, the raw materials mentioned in step S1 include pure elemental raw materials, alloy intermediate alloy raw materials, or compound raw materials containing the target element.

[0012] Furthermore, the matrix solving algorithm in step S4 is selected from one or more combinations of Gaussian elimination, matrix inversion, or iterative solving algorithms.

[0013] Furthermore, the calculation method is applied to the batching calculation of TA series and TC series titanium alloys, as well as high-end multi-element titanium alloy ingots for aerospace applications.

[0014] Working principle and beneficial effects of the present invention: Compared with the prior art, the present invention has the following beneficial effects: 1. Achieving precise multi-element batching: This invention incorporates 25 titanium alloy-related elements into the calculation system and achieves simultaneous solution of multiple variables through matrix operations, effectively solving the problem of difficulty in controlling the mutual influence of multiple elements in traditional methods and improving the batching accuracy; 2. Simplified calculation process: The complex multi-element ingredient calculation is transformed into standardized matrix operations, which simplifies the calculation steps, reduces human calculation errors, and improves calculation efficiency; 3. High versatility: It can selectively incorporate target elements according to the material requirements of different titanium alloys, and is applicable to the batching calculation of various types of titanium alloy ingots, with wide applicability; 4. Reduced production costs: Precise ingredient proportioning reduces the scrap rate caused by composition deviations, reduces raw material waste, and thus lowers the production cost of titanium alloy ingots. Detailed Implementation

[0015] The following detailed description illustrates the specific implementation method: Example: The symbols in this example are defined as follows:

[0016] With a total production ingot mass of 50kg, the target element mass percentages are A1=Al=0.6%, target element A2=V=0.4%, and target element A3=Fe=0.1%.

[0017] Three raw materials were selected, and the mass percentage of the target element in each raw material was determined. As shown in the table below:

[0018] The calculation steps are as follows:

[0019] S3. Transform the linear equations from step S2 into matrix operation equations. M=A Mr. M, in for First-order raw material-element ratio matrix, M for Raw material quality column matrix A for 1 m Row matrix showing the proportion of target elements in order; Raw material-element percentage matrix (3×3 order)

[0020] Raw material quality column matrix M (3×1 order).

[0021] Target element quality column matrix A M General (3×1 order) A M General

[0022] Solving the above matrix equation using Gaussian elimination yields the mass of each raw material added: 1. Perform elimination operations on the matrix equation to simplify the coefficient matrix. 2. Solve sequentially \ numerical value Final calculation results: =0.3007kg =0.2010kg 0.0501kg This aluminum alloy ingot uses aluminum as the base material, supplemented by pure aluminum base material mass Mbase = M General - - - =49.4482kg.

[0023] After the prepared raw materials are melted, the actual elemental composition of the ingot is detected by ICP-MS to verify the accuracy.

[0024] All element deviations are ≤±1%, meeting the batching accuracy requirements for ordinary industrial aluminum alloy ingots.

[0025] It should be noted that those skilled in the art can make various modifications and improvements without departing from the technical solution of this invention. These modifications and improvements should also be considered within the scope of protection of this invention, and will not affect the effectiveness of the invention or the practicality of the patent. The scope of protection claimed in this application shall be determined by the content of its claims, and the specific embodiments described in the specification can be used to interpret the content of the claims.

Claims

1. A method for calculating the batching of titanium alloy ingots, characterized in that, Includes the following steps: S1, Select m Select target alloying elements k One type of raw material; let the first j The percentage of the mass of a certain element in the total mass M of the alloy ingot (A) j ( j =1,2,...,m), let the first...m... i The mass percentage of the j-th target element in the raw material is λ ij ( i =1,2,...,k; j =1,2,...,m), the first i The weight of the raw material is M i ; S2. Based on the principle of mass balance, establish m A series of parallel linear equations, each corresponding to... m The mass balance relationship of the target elements; each equation is in the form of: ； S3. Transform the linear equations from step S2 into matrix operation equations. M=A Mr. M, in for First-order raw material-element ratio matrix, M for Raw material quality column matrix A for 1 m Row matrix showing the proportion of target elements in order; S4. Solve the above matrix equations using a matrix solving algorithm to obtain the mass of each raw material added. .

2. The calculation method according to claim 1, characterized in that, The target alloying elements include: titanium, aluminum, tin, zirconium, gallium, indium, molybdenum, vanadium, niobium, tantalum, chromium, manganese, copper, oxygen, nitrogen, hydrogen, carbon, iron, silicon, chlorine, sodium, potassium, calcium, magnesium, and lead.

3. The calculation method according to claim 2, characterized in that, The value of n ranges from 1 to 25.

4. The calculation method according to claim 3, characterized in that, The raw materials mentioned in step S1 include pure elemental raw materials, alloy intermediate alloy raw materials, or compound raw materials containing the target element.

5. The calculation method according to claim 4, characterized in that, The matrix solving algorithm mentioned in step S4 is selected from one or more combinations of Gaussian elimination, matrix inversion, or iterative solving algorithms.

6. The application of the calculation method according to any one of claims 1 to 5, characterized in that, The calculation method is applied to the batching calculation of TA series and TC series titanium alloys, as well as high-end multi-element titanium alloy ingots for aerospace applications.

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