Analytical Solution for Two Parallel Traces on PCB in the Time Domain with Application to Hairpin Delay Lines

Xiao, Fengchao; Murano, Kimitoshi; Kami, Yoshio

doi:10.1587/transcom.e92.b.1953

Cited by 10 publications

(4 citation statements)

References 12 publications

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“…For each model the evaluation of parameters determining its quality is also given. In this way, the models selected for determining the values of stress concentration factor can be used as a database for identifying the PCB defects [12]- [14].…”

Section: Models For Determining the Theoretical Stress Concentramentioning

confidence: 99%

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Models of Printed Circuit Boards Conductive Pattern Defects

Danilova

Кочегаров

Yurkov

et al. 2018

Applied Computer Systems

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A number of PCB defects, though having passed successfully the defect identification procedure, can potentially grow into critical defects under the influence of various external and (or) internal influences. The complex nature of the development of defects leading to PCB failures demands developing and updating the data measuring systems not only for detection but also for the prediction of future development of PCB defects considering the external influences. To solve this problem, it is necessary to analyse the models of defect development, which will allow predicting the defect growth and working out the mathematical models for their studies. The study uses the methods of system analysis, theory of mathematical and imitation modelling, analysis of technological systems. The article presents four models for determining the theoretical stress concentration factor for several types of common defects, considering the strength loss of PCB elements. For each model the evaluation of parameters determining its quality is also given. The formulas are given that link the geometry of defects and the stress concentration factor, corresponding to four types of defects. These formulas are necessary for determining the number of cycles and time to failure, fatigue strength coefficient. The chosen models for determining the values of the stress concentration factor can be used as a database for identifying PCB defects. The proposed models are used for software implementation of the optical image inspection systems.

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Section: Models For Determining the Theoretical Stress Concentramentioning

confidence: 99%

“…Howland's formula Defect: Pit in the form of a circular hole (Fig. 5), shifted relatively the centre of the conductor [12], [16]- [17]. Defect: Pit in the form of a vertical hole ( fig.7) of the ellipse shape in the centre (across the conductor's length) [18], [19].…”

Section: Models For Determining the Theoretical Stress Concentramentioning

confidence: 99%

Models of Printed Circuit Boards Conductive Pattern Defects

Danilova

Кочегаров

Yurkov

et al. 2018

Applied Computer Systems

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“…Many papers have been presented concerning the crosstalk on the PCB in frequency domain until now[1]- [5]. However, there is little research studied about the crosstalk between microstrip lines on the PCB placed along the ground slot as far as the authors know.…”

Section: Introductionmentioning

confidence: 99%

Time domain analysis of crosstalk between microstrip lines placed along slot with various widths and lengths

Kitsunai

Tobana

Sakamoto

et al. 2012

2012 Asia Pacific Microwave Conference Proceedings

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The crosstalk between microstrip lines placed closely on a printed circuit board is an important problem. Recently, a slot which is formed in a ground plane induces undesired influence to the crosstalk between lines. Accordingly, understanding the influence of the slot is important. In this paper, the authors have analyzed the influence for the crosstalk between microstrip lines by changing widths and lengths of a slot using the FDTD method in time domain. Analysis results showed that the crosstalk increases as the width of the slot increases and time range in which the crosstalk increases expands as the length of the slot increases. Further, we measured the crosstalk between microstrip lines placed along the slot with various widths and showed that measurement result almost agrees with analysis results.

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“…Since during the propagation of the traveling wave the oscillation energy is gradually dissipated as a result of internal friction [7], [9]- [11], we will take into account the loss of energy in the form of a dissipative force proportional to the rate of deformation in (1), and add an external force F(x, t) to the right side, exciting vibrations in the end section of the rod (Fig. 1).…”

mentioning

confidence: 99%

Discrete Models in Research of Wave Processes in Rod Structures of Radio-Electronic Means

Лысенко

Yurkov

Trusov

et al. 2018

Applied Computer Systems

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The article shows the relevance of the application of discrete models of rod structures of radio-electronic means (REM) for the study of their behaviour under transient loading. A discrete model of the propagation of harmonic waves in the rod and the study of standing waves are proposed. Computational experiments using the proposed model are conducted. The results show that the model accurately reflects qualitative dynamics of the physical processes in the elastic rod while the waves of elastic deformations are passing through. The proposed models are used for software implementations of systems of mechanical simulation of the behaviour of rod structures.

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Analytical Solution for Two Parallel Traces on PCB in the Time Domain with Application to Hairpin Delay Lines

Cited by 10 publications

References 12 publications

Models of Printed Circuit Boards Conductive Pattern Defects

Models of Printed Circuit Boards Conductive Pattern Defects

Time domain analysis of crosstalk between microstrip lines placed along slot with various widths and lengths

Discrete Models in Research of Wave Processes in Rod Structures of Radio-Electronic Means

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