A multi-pattern compensation method to ensure even temperature in composite materials during microwave curing process
Summary (3 min read)
1. Introduction
- Fiber reinforced polymer composites with strong mechanical properties are increasingly used in aerospace products [1, 2].
- The technology has a number of problems which restrict further improvement of product quality and manufacturing efficiency [4].
- The second way is to use multiple microwave sources within the cavity since the resonant modes associated with different sources are able to overlap, which may further enhance the heating uniformity [23].
- The purpose of the turning table is to reduce the effect of multiple hot spots by moving the object being heated through areas of high and low power fields alternately, so as to achieve uniformity in temperature of the food.
- These methods cannot solve the problem from the scientific point of view, and the uneven temperature problem during microwave curing remains as a major challenge in the manufacturing of advanced composite materials [18, 19].
2. Idea of the multi-pattern compensation method
- Through extensive experimental research, the authors found that there is a one-to-one correspondence between heating patterns (HPs) of composite parts and microwave curing system settings , as illustrated in Fig.1.
- Corresponding theoretical analysis is presented in Section 5.1.
- Here, HP are defined as the distribution law of the microwave power on the composite surface, which can be mathematically expressed as a matrix which contains the information of the microwave power and position.
HP (1)
- Where mnP is the microwave power at a certain point on the composite surface.
- The MCSS represents a couple of parameters regarding the resonant applicator, the microwave input and the composite part.
- The position and number of microwave inputs were used as the control strategy of the MCSS, and can be expressed mathematically as a vector.
- Hence, when a part (or a new one of the same) is heated for a new run, the HPs collected beforehand can be used as a useful database to adjust its uneven temperature distribution.
- This is the idea of the multi-pattern compensation method.
3. Implementation of the multi-pattern compensation method
- A process control system is developed to implement the multi-pattern compensation method.
- As shown in Fig.3, the structure of the system can be divided into two parts.
- One is aimed at improving the temperature uniformity of the composite part, and the other is to keep the average temperature following the setting temperature.
- When the curing process is started, the temperature distribution of the part is monitored and analyzed in real time.
- Once the HP is selected, the computer will rapidly adjust the switches of the magnetrons of the oven according to the related control strategy.
3.1 Strategy of HP database construction
- Since the microwave power distribution on the composite surface is unmeasurable without disturbing the original microwave field, another physical quantity that is directly proportional to the microwave power has to be used to solve this problem.
- As for the exothermic heat of cure reaction, it will influence the temperature distribution of the composite during microwave curing, but the temperature distribution is monitored in real-time by temperature sensors, and then a normal compensation process will be carried out.
- As shown in Fig.4, if only one spot is considered during the compensation process, n HPs are needed to construct the HP database, making this spot, for example hot spot or cold spot, of these HPs spread over the whole surface of the composite part.
- If not, it is better to make the control strategy programmed so that the computer can continuously execute multiple times in a single cycle for time saving.
3.2 Strategy of uneven temperature compensation
- During the microwave curing process, the uneven temperature of the composite part is compensated based on the established HP database.
- Only the hottest spot or the coldest spot was taken into account during one compensation step, considering the compensation accuracy and efficiency at the same time.
- If max minT-T T-T³ (T , maxT and minT are the average, maximum and minimum of the measured temperature), the hottest spot on the part will be compensated preferentially.
- Specifically, the computer will search the HP database very quickly for an appropriate HP which has the lowest heating rate at the corresponding position.
- These monitoring and compensating steps are repeated until the composite part is completely cured.
3.3 Strategy of power control
- The purpose of the power controller is to keep the measured average temperature tracking the setting temperature.
- When the total microwave power is determined, the power variation will be equally distributed to the current microwave inputs.
- When the power of these inputs is increased by pD simultaneously, the heating rate of each area will increase by C , but the HP of the composite (relationship between the heating rates in these areas) will not be changed.
4. The experiment carried out
- A 2.45GHz, 20KW microwave curing system was designed and manufactured by the research team, as shown in Fig.7 (a).
- The composite plate was first preheated by various control strategies to construct its HP database.
- The preset threshold for compensation was set as 6°C, and the operating time of each HP is 8s.
- The second experiment randomly changed the microwave power of all magnetrons of the oven to generate relative movement between the electromagnetic field and the composite plate, like the commonly used mode agitator or turntable.
5. Results and discussions
- Based on the authors’ experimental findings, this paper presents a multi-pattern compensation method to realize the uniform in-plane temperature distribution of composite parts during microwave curing.
- Then, the effectiveness of the proposed multi-pattern compensating method is investigated in detail.
5.1 Theoretical analyses of the experimental findings
- Since the HP of a composite part is directly affected by the electromagnetic fields inside a microwave oven, the influence of MCSSs on the electromagnetic fields inside the microwave oven is systematically discussed in this section.
- As shown in Fig.8 (e) and (f), the resonant frequency of the microwave cavity after perturbation can be computed as follows.
- The 10lTE mode induced by each microwave input in the rectangular oven of where 10lA is an amplitude constant, b is the propagation constant of microwave.
- Thus, the position and number of microwave inputs, as well as the power ratio between them have significant influence on the distribution of electromagnetic fields in the cavity.
- This further confirms the authors’ experimental findings of the relationship between composite HPs and MCSSs.
5.2 Validation of the proposed multi-pattern compensating method
- The temperature distribution on the composite surface under the traditional single pattern heating, random field variation heating and multi-pattern compensation heating was compared by the shown maximum, average and minimum temperature profiles (see Fig.9).
- Sometimes good results can be obtained, and sometimes the situation is just the opposite.
- The maximum temperature difference was only 11.2°C, which brings a reduction of about 67% and 58% compared with the traditional single pattern heating and random field variation heating.
- As a consequence, the temperature distribution during the random field variation heating is more homogeneous than that in the single pattern heating.
- Then, there was a small overshoot along with the rise of the composite temperature, but it was gradually adjusted back by the system.
6. Conclusions
- Based on the authors’ experimental findings that there is a one-to-one correspondence between composite HPs and MCSSs, a multi-pattern compensation method was proposed to realize a homogeneous microwave curing process for advanced composite materials.
- In order to ensure the feasibility of the multi-pattern compensation method, the theoretical analysis of the findings was investigated; the principle of this method was discussed; and the control strategy of this method is designed.
- It was demonstrated to be a feasible plan through the comparison of resulting temperature difference between this and other two traditional microwave curing process.
- Under the situation of only considering the hottest spot or the coldest spot during one compensation step, the maximum temperature difference of a short carbon fiber/epoxy composite plate was reduced by 67% and 58% compared with the traditional single pattern heating and random field variation heating process.
- This technology can be potentially used in other microwave heating processes as well where a high temperature uniformity is required.
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