Modal analysis of isotropic beams in peridynamics

3rd International Conference on Innovative Materials, Structures and Technologies

Freimanis, A.^1 ; Paeglitis, A.^1

Riga Technical University, Institute of Transportation Engineering, Azenes iela 6a, Riga

LV-1048, Latvia^1

关键词: Aluminium plates;    Clamped-free boundary conditions;    Experimental modal tests;    FE-simulation;    Isotropic beams;    Modal response;    Mode shapes;    Peridynamics;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/251/1/012088/pdf
DOI  :  10.1088/1757-899X/251/1/012088

来源: IOP

【 摘 要 】

Modal analysis in continuum mechanics is widely used in damage detection, quality control and to validate numerical simulations. Peridynamics is a reformulation of continuum mechanics that allow discontinuities, such as cracks and voids, to arise and propagate without any special techniques, however, modal analysis in peridynamics has not been explored in detail. In this study we simulate the modal response of an aluminium plate with clamped-free boundary conditions in peridynamics, and compare results to a FE simulation and an experimental modal test. The natural frequencies from peridynamics agree better with the experimental results than frequencies from finite-elements for all modes except mode 1. Differences between peridynamic and experimental results ranged (in magnitude) from 0.13% to 10.38%, and between peridynamic and finite-element results from 0.23% to 9.72%. All mode shapes calculated in peridynamics corresponded to those from finite-elements and experimental measurements.