Analysis of the influence of cracks on the dynamics of structures is critical for design, failure prognosis, and structural health monitoring. Predicting the dynamics of complex cracked structures is computationally challenging for two reasons: (1) the model size is generally large, and (2) the piecewise-linear nonlinearity caused by contact eliminates the use of linear analysis tools. Recently, a technique referred to as X-Xr approach was developed to efficiently reduce the model size of cracked structures. The method employs relative coordinates to describe the motion of crack surfaces such that an effective model reduction can be achieved using Craig-Bampton component mode synthesis. More recently, a method referred to as the generalized bilinear amplitude approximation (generalized BAA) was developed to approximate the amplitude and frequency of piecewise-linear nonlinear systems. This paper modifies the generalized BAA method and combines it with the X-Xr approach to efficiently predict the dynamics of complex cracked structures. The combined method is able to estimate the amplitude and frequency of cracked systems with a reduced computational effort. The proposed approach is demonstrated on a three degree of freedom spring-mass system and a cracked cantilever beam.
Skip Nav Destination
ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 6–9, 2017
Cleveland, Ohio, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5822-6
PROCEEDINGS PAPER
Efficient Reduced-Order Modeling and Response Approximation for Cracked Structures Available to Purchase
Meng-Hsuan Tien,
Meng-Hsuan Tien
Ohio State University, Columbus, OH
Search for other works by this author on:
Kiran D’Souza
Kiran D’Souza
Ohio State University, Columbus, OH
Search for other works by this author on:
Meng-Hsuan Tien
Ohio State University, Columbus, OH
Tianyi Hu
Ohio State University, Columbus, OH
Kiran D’Souza
Ohio State University, Columbus, OH
Paper No:
DETC2017-67379, V008T12A015; 10 pages
Published Online:
November 3, 2017
Citation
Tien, M, Hu, T, & D’Souza, K. "Efficient Reduced-Order Modeling and Response Approximation for Cracked Structures." Proceedings of the ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 8: 29th Conference on Mechanical Vibration and Noise. Cleveland, Ohio, USA. August 6–9, 2017. V008T12A015. ASME. https://doi.org/10.1115/DETC2017-67379
Download citation file:
18
Views
Related Proceedings Papers
Related Articles
Graphical Design Methodology of Multi-Degrees-of-Freedom Tuned Mass Damper for Suppressing Multiple Modes
J. Vib. Acoust (February,2021)
A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics
J. Comput. Nonlinear Dynam (July,2023)
Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams
J. Comput. Nonlinear Dynam (November,2021)
Related Chapters
Digital Transformation by the Implementation of the True Digital Twin Concept and Big Data Technology for Structural Integrity Management
Ageing and Life Extension of Offshore Facilities
Dynamic Simulations to Become Expert in Order to Set Fuzzy Rules in Real Systems
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
On the Exact Analysis of Non-Coherent Fault Trees: The ASTRA Package (PSAM-0285)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)