#7534. On vibration of sigmoid/symmetric functionally graded nonlocal strain gradient nanobeams under moving load

October 2026publication date
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Journal’s subject area:
Mechanical Engineering;
Mechanics of Materials;
Materials Science (all);
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Abstract:
In the framework of nonlocal strain gradient theory, a size-dependent symmetric and sigmoid functionally graded (FG) Timoshenko beam model is developed to study and analyze the free vibration and dynamic response under moving load, for the first time. To incorporate the size-dependent effect, the nonlocal strain gradient theory is adopted. The Hamilton principle is employed to drive the dynamic equations of motion and the associated boundary conditions. Based on Navier’s approach, an analytical solution methodology for free and forced vibration problems is developed.
Keywords:
Dynamic behavior; Moving load; Nonlocal strain gradient theory; Sigmoid and symmetric FGM; Size dependent; Timoshenko nanobeams

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