Vibration Analysis of Rotor Systems with Structural Integrity Considerations

Rotor systems lie at the heart of modern turbomachinery, encompassing shafts, disks and blades whose dynamic interactions dictate performance, safety and service life. Vibration analysis of these assemblies must integrate structural integrity considerations, such as crack initiation and propagation, material anisotropy and nonlinear stiffness variations. Classical continuous-parameter and finite-element models capture gyroscopic effects, centrifugal stiffening and coupling between shaft torsion, disk bending and blade flexure. Such coupling gives rise to complex mode shapes, critical speeds and resonance phenomena that can accelerate fatigue. Breathing-crack models, which represent periodic opening and closing of cracks under cyclic loads, enable sensitive detection of damage through subharmonic resonances and energy-flow metrics. Advances in multi-physics simulation, high-fidelity sensing and data-driven diagnostics now support condition-based maintenance and design optimisation to mitigate catastrophic failure in aviation, power generation and industrial machinery.

Research from Nature Portfolio

Recent studies have elucidated the intrinsic mechanisms underpinning vibration responses in blade–disk–shaft assemblies subject to aerodynamic forcing and crack defects. A simplified continuous model reveals how the interplay of kinematics and dynamics gives rise to characteristic response spectra, which can be interpreted through number theory to establish general laws governing resonance and stability. This approach provides a unified framework for predicting how changes in blade geometry or crack severity alter modal interactions and offers guidelines for the development of condition-monitoring algorithms.

Vibration Analysis of Rotor Systems with Structural Integrity Considerations publication trend

The graph below shows the total number of articles in vibration analysis of rotor systems with structural integrity considerations across all publications each year (not limited to Nature Index journals).

Technical terms

Breathing crack: A crack whose opening and closing vary cyclically under load, altering local stiffness and dynamic response.

Coupled vibration modes: Vibration patterns in which multiple components (shaft, disk, blades) interact, producing composite mode shapes.

Gyroscopic effect: Rotational inertial forces that cause precession and coupling of lateral vibration modes in a spinning system.

Vibration power flow analysis: A method quantifying energy transmission through a structure to identify nonlinear effects and localised damage sensitivity.

References

1. Nonlinear Dynamic Behaviors of Rotated Blades with Small Breathing Cracks Based on Vibration Power Flow Analysis. Shock and Vibration (2016).
2. The vibration response mechanism of a blade disk rotor system under the coupling effects of cracks and aerodynamic forces. Scientific Reports (2022).
3. Dynamic analysis of cracked rotating blade using cracked beam element. Results in Physics (2020).
4. Study on Influence of Multi-Parameter Variation of Bladed Disk System on Vibration Characteristics. Applied Sciences (2021).
5. Exploration of coupled-vibration phenomena in multi-disk rotor with blades with multi-cracks. Advances in Mechanical Engineering (2019).