<p>This innovative study presents a novel framework for analyzing the axial dynamic response of a rotating thermoelastic nanobeam subjected to a moving load, marking a significant advancement in the field of nanoscale mechanics. By integrating the Klein-Gordon nonlocal theory with an innovative internal time scale parameter, the research derives governing equations that effectively capture nonlocal effects. The application of Hamilton’s principle in conjunction with Euler-Bernoulli beam theory ensures precise modeling, while the dual-phase lag (DPL) framework accounts for thermoelastic properties without energy dissipation, incorporating both internal length and time scale parameters. The use of the Laplace transform method to solve the resulting partial differential equations demonstrates a robust analytical approach. A detailed numerical example highlights the effects of nonlocal parameters, rotation, and load speed on axial dynamic deflection, stress, and temperature distribution, with graphical results validating the model’s accuracy against previous studies. This study sets a new standard for modeling complex nanoscale systems and provides valuable insights into their dynamic behavior.</p>

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Impact of microscopic interactions and non-Local dynamics on rotating nanobeam structures under external moving loads

  • Yazeed Alhassan,
  • Ahmed E. Abouelregal

摘要

This innovative study presents a novel framework for analyzing the axial dynamic response of a rotating thermoelastic nanobeam subjected to a moving load, marking a significant advancement in the field of nanoscale mechanics. By integrating the Klein-Gordon nonlocal theory with an innovative internal time scale parameter, the research derives governing equations that effectively capture nonlocal effects. The application of Hamilton’s principle in conjunction with Euler-Bernoulli beam theory ensures precise modeling, while the dual-phase lag (DPL) framework accounts for thermoelastic properties without energy dissipation, incorporating both internal length and time scale parameters. The use of the Laplace transform method to solve the resulting partial differential equations demonstrates a robust analytical approach. A detailed numerical example highlights the effects of nonlocal parameters, rotation, and load speed on axial dynamic deflection, stress, and temperature distribution, with graphical results validating the model’s accuracy against previous studies. This study sets a new standard for modeling complex nanoscale systems and provides valuable insights into their dynamic behavior.