• Title/Summary/Keyword: unified gradient shape

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A Unified Gradient Shape on the Slice-Selection Axis for Flow Compensation (스핀에코 펄스 시퀀스의 슬라이스 선택방향에서 혈류 보상을 위한 통일 경사자장법 연구)

  • Pickup, Stephen;Jahng, Geon-Ho
    • Investigative Magnetic Resonance Imaging
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    • v.10 no.2
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    • pp.70-80
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    • 2006
  • Spin echo gradient moment nulling pulse sequences were designed and implemented on a clinical magnetic resonance imaging system. A new technique was introduced for flow compensation that minimized echo time and effectively suppresses unwanted echoes on the slice selection gradient axis in spin echo sequences. A unified gradient shape was used in all orders of flow compensation up to the third order. A dual-purpose gradient was applied for flow compensation and to reduce unwanted artifacts. The sequences were used to generate images of phantoms and/or human brains. This technique was especially good at reducing eddy currents and artifacts related to imperfection of the refocusing pulse. The developed sequences were found to have shorter echo times and better flow compensation in through-plane flow than those of the previous models that were used by other investigators.

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A unified consistent couple stress beam theory for functionally graded microscale beams

  • Chih-Ping Wu;Zhen Huang
    • Steel and Composite Structures
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    • v.51 no.2
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    • pp.103-116
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    • 2024
  • Based on the consistent couple stress theory (CCST), we develop a unified formulation for analyzing the static bending and free vibration behaviors of functionally graded (FG) microscale beams (MBs). The strong forms of the CCST-based Euler-Bernoulli, Timoshenko, and Reddy beam theories, as well as the CCST-based sinusoidal, exponential, and hyperbolic shear deformation beam theories, can be obtained by assigning some specific shape functions of the shear deformations varying through the thickness direction of the FGMBs in the unified formulation. The above theories are thus included as special cases of the unified CCST. A comparative study between the results obtained using a variety of CCST-based beam theories and those obtained using their modified couple stress theory-based counterparts is carried out. The impacts of some essential factors on the deformation, stress, and natural frequency parameters of the FGMBs are examined, including the material length-scale parameter, the aspect ratio, and the material-property gradient index.