Calculation of microwave heating temperature distribution based on SVD truncation

Yang, Biao; Huang, Hongbin; Ma, Hongwen; Zhou, Liexing; Du, Qizhen

doi:10.1080/08327823.2022.2137748

Cited by 4 publications

(2 citation statements)

References 40 publications

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“…Finally, the damage locations and extents in the structure can be determined according to the values of ε i ( i = 1 ∼ N). To resist the adverse effects of data noise due to measurement error, the singular-value truncation algorithm [31,32] is used in the process of solving the linear Equation ( 23) for achieving stable computational results in engineering applications. The core idea of the singular-value truncation algorithm is to ignore small singular values to partially eliminate the impact of data noise on the calculation results.…”

Section: Theoretical Developmentmentioning

confidence: 99%

Structural Damage Identification Using the First-Order Vibration-Mode-Based Frequency-Shift Flexibility Sensitivity Algorithm

Cao

Yang

Peng

2023

Axioms

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The diagnosis of structural damage usually belongs to a mathematical inverse problem. This work presents a novel frequency-shift flexibility sensitivity algorithm for structural damage assessment using only the first-order vibration mode to achieve the goal of successfully identifying structural damage with fewer modal parameters. The core idea of the proposed method is to make the first-order vibration mode contribute the most to a structural flexibility matrix through the frequency-shift operation. A high-precision flexibility matrix can be obtained after the frequency-shift operation, which only needs the first mode of structural free vibration. Through this special advantage, structural damage coefficients can be accurately calculated by the frequency-shift flexibility sensitivity equation. Thus, a reliable identification result can be obtained according to the values of the calculated damage coefficients. In some engineering applications, another advantage of the proposed method is that it does not require a complete finite element modeling process, as long as a few lower-frequency vibration modes of the intact structure are measured. A truss structure and a beam structure are used as two numerical examples to demonstrate the proposed approach. The results show that the proposed method has higher calculation accuracy than the ordinary flexibility sensitivity method by using only the first-order vibration mode. The proposed method can overcome possible misdiagnosis of the ordinary flexibility sensitivity method. It also has been shown that the proposed method may have the potential to identify minor damage in a structure. Using the experimental data of a steel frame structure, the effectiveness and reliability of the proposed method have been further verified. The proposed method provides a simple way for structural damage identification with only a few vibration modal data.

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Section: Theoretical Developmentmentioning

confidence: 99%

Structural Damage Identification Using the First-Order Vibration-Mode-Based Frequency-Shift Flexibility Sensitivity Algorithm

Cao

Yang

Peng

2023

Axioms

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“…Due to microwave refraction and focusing effects, spherical food (such as eggs, potatoes, and tomatoes) experiences central overheating when heated in a microwave [17]. The excessive absorption of microwave energy may lead to the 'thermal runaway' phenomenon [18]. An intermittent microwave drying process was introduced to effectively solve the 'thermal runaway' problem in mushrooms caused by a sharp increase in microwave volume heat in the late drying period [19].…”

Section: Introductionmentioning

confidence: 99%

Improvement of Temperature Distribution Uniformity of Ready-to-Eat Rice during Microwave Reheating via Optimizing Packaging Structure

Chai

Shen

Liu

et al. 2023

Foods

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The taste quality of ready-to-eat rice is influenced by the uniformity of temperature distribution during microwave reheating. The temperature distribution uniformity of ready-to-eat rice loaded in a rectangular lunch box is investigated under microwave reheating. The results show that with a 10–80 °C temperature increase in the ready-to-eat rice, the thermal conductivity increases, dielectric constant, and specific heat increase and then decrease, while the dielectric loss factor decreases and then slightly increases. The microwave-heating process of ready-to-eat rice exhibits a clear ‘corner effect’, and the observed ‘hot spot’ results in poor temperature uniformity in ready-to-eat rice. A metalized packaging structure design is subsequently proposed to ameliorate the temperature non-uniformity. According to comparative results of four metalized packaging forms, the spray film volume and film thickness corresponding to film volume are developed as 3.5×10−4 mL/mm2, 0.30 mm, respectively, which levels off the difference in temperature to improve the temperature distribution uniformity of ready-to-eat rice by microwave reheating.

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Study on the microwave heating temperature uniformity of an intelligent synergistic mode stirrer

Yang

Peng

Cheng

et al. 2023

Journal of Microwave Power and Electromagnetic Energy

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Calculation of microwave heating temperature distribution based on SVD truncation

Cited by 4 publications

References 40 publications

Structural Damage Identification Using the First-Order Vibration-Mode-Based Frequency-Shift Flexibility Sensitivity Algorithm

Structural Damage Identification Using the First-Order Vibration-Mode-Based Frequency-Shift Flexibility Sensitivity Algorithm

Improvement of Temperature Distribution Uniformity of Ready-to-Eat Rice during Microwave Reheating via Optimizing Packaging Structure

Study on the microwave heating temperature uniformity of an intelligent synergistic mode stirrer

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