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Abstract
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This work analyzes the vibrations of a Timoshenko nanobeam under the influence of an accelerating moving load. It presents an accurate method for solving the coupled equations to investigate the transient and reliable response of the nanobeam to the accelerated moving load. Since there is no exact coupled solution for the force vibrations of a nanobeam with an accelerated moving bar, the main purpose of this work is to provide a method to obtain an accurate solution for nanostructures with an accelerated moving force. The influence of parameters such as changes in the acceleration of the moving bar, negative acceleration, and nonlocal parameters on the deflection of the beam was investigated. Innovation of the presented article is in providing an accurate solution using the Laplace method to analyze the forced vibrations of a nanobeam with an accelerated dynamic force, which has not been done before. Using more accurate mathematical models in structural design has several advantages, including: higher accuracy, comprehensive analysis, identification of weak points, design optimization, reduction of maintenance costs, predicting behavior in specific conditions, enhanced safety, and facilitation of decision-making.
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