A Peridynamic Approach to Free Vibration of Rotating Open-Cracked Beams
摘要
Cracks in rotating beam structures significantly influence their dynamic behavior, necessitating accurate modelingtechniques that overcome the singularities inherent in classical local formulations. Nonlocal peridynamic approachesprovide a suitable framework for this aim.
PurposeThis study develops a Peridynamic Differential Operator (PDDO)–based method for the modal analysis ofbending vibrations in rotating Euler–Bernoulli beams with open edge cracks.
MethodsThe governing equations are derived from classical continuum mechanics, while the crack model is establishedusing principles of fracture mechanics. The crack is modeled as a permanently open edge crack, attributed to centrifugaltensile forces induced during rotation, and represented by localized flexibility through a massless rotational spring. Anonuniform discretization scheme is adopted to improve accuracy in the crack region.
ResultsThe proposed formulation is validated using benchmark examples of rotating and non-rotating cracked beamsunder various boundary conditions. The numerical results show excellent agreement with analytical, numerical, andexperimental data. The influence of crack location, crack depth, and rotational speed on the natural frequencies and modeshapes is clearly demonstrated.
ConclusionThe present framework introduces a peridynamics-based formulation for the dynamic analysis of rotatingcracked beam structures and provides a robust and reliable tool for vibration-based damage assessment, which can bereadily extended to more general rotating structural systems.