NUMERICAL MODELING OF PLANE FRAME VIBRATIONS TAKING INTO ACCOUNT NONLOCAL IN TIME ELASTIC PROPERTIES OF THE MATERIAL
NUMERICAL MODELING OF PLANE FRAME VIBRATIONS TAKING INTO ACCOUNT NONLOCAL IN TIME ELASTIC PROPERTIES OF THE MATERIAL
DOI:
https://doi.org/10.22337/2587-9618-2026-22-3-90-98Keywords:
nonlocal mechanics, nonlocal damping, numerical simulation, finite element methodAbstract
This paper presents a model for the dynamic deformation of plane composite frames accounting for the time-nonlocal elastic behavior of the material. The time-nonlocal model, previously developed for beam elements, is extended to frame structures and implemented within the finite element method. The influence of the nonlocal model scale parameter on the dynamic response is investigated. A U-shaped frame made of thermosetting vinyl ester glass-fiber-reinforced polymer is used as a case study to calibrate the scale parameter against reference three-dimensional finite element analysis results using the least-squares criterion and the golden-section search method. The calibrated time-nonlocal model significantly reduces the root-mean-square error compared with the classical local model and provides results that are in close agreement with the reference three-dimensional finite element analysis. The results provide additional evidence that the scale parameter of the time-nonlocal model can be regarded as an intrinsic material property independent of the structural geometry.
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