Bold indicates authors from the lab group.
I. Books
“The Mechanics of Jointed Structures,” Editor: M. R. W. Brake, Springer, 2017.
II. Journal Publications
- J. H. Porter, N. N. Balaji, C. R. Little, and M. R. W. Brake, “A Quantitative Assessment of the Model Form Error of Friction Models Across Different Interface Discretizations for Jointed Structures,” Mechanical Systems and Signal Processing, under review.
- T. Dreher, M. R. W. Brake, B. Seeger*, and M. Krack, “In Situ, Real-Time Measurements of Contact Pressure Internal to Jointed Interfaces During Dynamic Excitation of an Assembled Structure,” Mechanical Systems and Signal Processing, under review.
- N. N. Balaji, S. Lian, M. Scheel, M. R. W. Brake, P. Tiso, J.-P. Noel, and M. Krack, “Numerical Assessment of Polynomial Nonlinear State-Space and Nonlinear-Mode Models for Near-Resonant Vibrations,” Vibration, accepted.
- M. Brøns, T. A. Kasper, G. Chauda, S. W. B. Klaassen, C. W. Schwingshackl, and M. R. W. Brake, “Experimental Investigation of Local Dynamics in Bolted Lap Joints Using Digital Image Correlation,” ASME Journal of Vibration and Acoustics, 142, art. 051114, 2020.
- N. N. Balaji, T. Dreher, M. Krack, and M. R. W. Brake, “Reduced Order Modeling for the Dynamics of Jointed Structures Through Hyper-Reduced Interface Representation,” Mechanical Systems and Signal Processing, 149, art 107249, 2021.
- H. Ghaednia, G. Mifflin, P. Lunia, E. O. O’Neill, and M. R. W. Brake, “Strain Hardening from Elastic-Perfectly Plastic to Perfectly Elastic Indentation Single Asperity Contact,” Frontiers in Mechanical Engineering, Tribology, 6, art. 60, 2020.
- M. Jin, W. Chen, M. R. W. Brake, and H. Song, “Identification of Instantaneous Frequency and Damping from Transient Decay Data,” ASME Journal of Vibration and Acoustics, 142, art. 051111, 2020.
- A. T. Mathis, N. N. Balaji, R. J. Kuether, A. R. Brink, M. R. W. Brake, D. D. Quinn, “A Review of Damping Models for Structures with Mechanical Joints,” Applied Mechanics Reviews, 72, art. 040802, 2020.
- A. Chatterjee, H. Ghaednia, A. Bowling, and M. R. W. Brake, “Estimation of Impact Forces During Multi-Point Collisions Involving Small Deformations,” Multibody System Dynamics, May 2020, pp. 1-46, 2020.
- G. Todorova, M. R. W. Brake, and L. Weingart, “Work Design and Task Conflict in Interdisciplinary Groups,” International Journal of Conflict Management, 31, pp. 636-646, 2020.
- S. A. Smith, M. R. W. Brake, and C. W. Schwingshackl “On the Characterization of Nonlinearities in Assembled Structures,” ASME Journal of Vibration and Acoustics, 142, art. 051105 (1-11), 2020.
- M. Scheel, G. Kleyman, A. Tatar, M. R. W. Brake, S. Peter, J.-P. Noël, M. S. Allen, and M. Krack, “Experimental Assessment of Polynomial Nonlinear State-Space and Nonlinear-Mode Models to Predict Near-Resonant Vibrations,” Mechanical Systems and Signal Processing, 143, 106796 (1-21), 2020.
- N. N. Balaji, W. Chen, and M. R. W. Brake, “Traction-Based Multi-Scale Nonlinear Dynamic Modeling of Bolted Joints: Formulation, Application, and Trends in Micro-Scale Interface Evolution,” Mechanical Systems and Signal Processing, 139, 106615 (1-32), 2020.
- N. N. Balaji and M. R. W. Brake, “A Quasi-Static Non-Linear Modal Analysis Procedure Extending Rayleigh Quotient Minimization for Non-Conservative Dynamical Systems,” Computers and Structures, 230, 106184 (1-16), 2020.
- H. Shu, S. A. Smith, and M. R. W. Brake, “The Influence of Additively Manufactured Nonlinearities on the Dynamic Response of Assembled Structures,” ASME Journal of Vibration and Acoustics, 142, pp 011019-1-9, 2020.
- W. Chen, M. Jin, I G. Lawal, M. R. W. Brake, and H. Song, “Measurement of Slip and Separation in Jointed Structures with Non-Flat Interfaces,” Mechanical Systems and Signal Processing, 134, pp 106325 (1-22), 2019.
- Z. Cao, M. R. W. Brake, and D. Zhang, “The Failure Mechanisms of Fasteners Under Multi-Axial Loading,” Engineering Failure Analysis, 105, pp 708-726, 2019.
- A. Fantetti, L. R. Tamatam, M. Volvert, I. Lawal, L. Liu, L. Salles, M. R. W. Brake, C. W. Schwingshackl, and D. Nowell, “The Impact of Fretting Wear on Structural Dynamics: Experiment and Simulation,” Tribology International, 138, pp 111-124, 2019.
- N. N. Balaji and M. R. W. Brake, “The Surrogate System Hypothesis for Joint Mechanics,” Mechanical Systems and Signal Processing, 126, pp 42-64, 2019.
- M. Jin, M. R. W. Brake, and H. Song, “Comparison of Nonlinear System Identification Methods for Free Decay Measurements with Application to Jointed Structures,” Journal of Sound and Vibration, 453, pp 268-293, 2019.
- M. R. W. Brake, C. W. Schwingshackl, and P. Reuß, “On the Observed Variability and Repeatability in Jointed Structures,” Mechanical Systems and Signal Processing, 129, pp 282-307, 2019.
- H. Ghaednia, M. R. W. Brake, M. Berryhill, and R. L. Jackson, “Strain Hardening from Elastic-Perfectly Plastic to Perfectly Elastic Flattening Single Asperity Contact,” ASME Journal of Tribology, 141, 031402-1-11, 2019.
- R. M. Lacayo, L. Pesaresi, J. Groß, D. Fochler, J. Armand, L. Salles, C. W. Schwingshackl, M. S. Allen, and M. R. W. Brake, “Nonlinear Modeling of Structures with Bolted Joints: a Comparison of Two Approaches Based on a Time-Domain and Frequency-Domain Solver,” Mechanical Systems and Signal Processing, 114, pp 413-438, 2019.
- D. Krattiger, L. Wu, M. Zacharczuk, M. Buck, R. J. Kuether, M. S. Allen, P. Tiso, M. R. W. Brake, “Interface Reduction for Hurty/Craig-Bampton Substructured Models: Review and Improvements,” Mechanical Systems and Signal Processing, 114, pp 579-603, 2019.
- D. Fowler, G. Lopp, D. Bansal, R. Schultz, M. Brake, and M. Shepherd, “Modeling and Measurement of a Tunable Acoustoelastic System,” Sound and Vibration, 52, pp. 12-17, 2018.
- M. R. W. Brake, P. L. Reu, and D. S. Aragon, “A Comprehensive Set of Impact Data for Common Aerospace Metals,” ASME Journal of Computational and Nonlinear Dynamics, 12, pp. 061011-1-23, 2017.
- M. R. W. Brake, A. C. Hall, and J. D. Madison, “Designing Energy Dissipation Properties via Thermal Spray Coatings,” Surface and Coatings Technology, 310, pp. 70-78, 2017.
- G. M. Castelluccio and M. R. W. Brake, “On the Origin of Modeling Uncertainty in Threaded Fasteners,” Computers and Structures, 186, pp. 1-10, 2017.
- R. C. Flicek, M. R. W. Brake, and D. A. Hills, “Predicting a Contact’s Sensitivity to Initial Conditions Using Metrics of Frictional Coupling,” Tribology International, 108, pp. 95-110, 2017.
- M. R. W. Brake, “A Reduced Iwan Model That Includes Pinning for Bolted Joint Mechanics,” Nonlinear Dynamics, 87, pp. 1335-1349, 2017.
- M. R. W. Brake, J. A. Fike, and S. D. Topping, “Parameterized Reduced Order Models from a Single Mesh Using Hyper-Dual Numbers,” Journal of Sound and Vibration, 371, pp. 370-392, 2016.
- M. R. W. Brake, “An Analytical Elastic Plastic Contact Model with Strain Hardening and Frictional Effects for Normal and Oblique Impacts,” International Journal of Solids and Structures, 62 (1), pp. 104-123, 2015.
- M. R. Brake, “The Role of Epistemic Uncertainty of Contact Models in the Design and Optimization of Mechanical Systems with Aleatoric Uncertainty,” Nonlinear Dynamics, 77 (3), pp. 899-922, 2014.
- M. R. Brake and D. A. Hills, “Determination of the Limits of Quasi-Static and Dynamic Solutions for Problems with Frictional Interfaces,” Tribology International, 76, pp. 45-56, 2014.
- M. R. Brake and D. J. Segalman, “Modeling Localized Nonlinearities in Continuous Systems via the Method of Augmentation by Non-Smooth Basis Functions,” the Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 469 (2158), pp. 1-20, 2013.
- I. Kalashnikova, M. F. Barone, and M. R. Brake, “A Stable Galerkin Reduced Order Model for Coupled Fluid-Structure Interaction Problems,” International Journal for Numerical Methods in Engineering, 95 (2), pp. 121-144, 2013.
- M. R. Brake, “The Effect of the Contact Model on the Impact-Vibration Response of Continuous and Discrete Systems,” Journal of Sound and Vibration, 332 (15), pp. 3849-3878, 2013.
- M. R. Brake, “An Analytical Elastic-Perfectly Plastic Contact Model,” International Journal of Solids and Structures, 49 (22), pp. 3129-3141, 2012.
- M. R. Brake, M. F. Barone, and D. J. Segalman, “Nonlinear Model Reduction of von Karman Plates Under Linearized Compressible Fluid Flow,” AIAA Journal, 50 (5), pp. 1047-1059, 2012.
- M. R. Brake, “An Inverse Shock Response Spectrum,” Mechanical Systems and Signal Processing, 25 (7), pp. 2654-2672, 2011.
- M. R. Brake, “A Hybrid Abpproach for the Modal Analysis of Continuous Systems with Discrete Piecewise-Linear Constraints,” Journal of Sound and Vibration, 330 (13), pp. 3196-3221, 2011.
- M. R. Brake, M. S. Baker, N. W. Moore, D. A. Crowson, J. A. Mitchell, and J. E. Houston, “Modeling and Measurement of a Bistable Beam in a Microelectromechanical System,” IEEE/ASME Journal of Microelectromechanical Systems,19 (6), pp. 1503-1514, 2010.
- M. R. Brake and D. J. Segalman, “Nonlinear Model Reduction of a von Karman Plate Under Quasi-Steady Fluid Flow,” AIAA Journal, 48 (10), pp. 2339-2347, 2010.
- M. R. Brake and J. A. Wickert, “Tilted Guides With Friction in Web Conveyance Systems,” International Journal of Solids and Structures, 47 (21), pp. 2952-2957, 2010.
- M. R. Brake and J. A. Wickert, “Modal Analysis of a Continuous Gyroscopic Second-Order System with Nonlinear Constraints,” Journal of Sound and Vibration, 329 (7), pp. 893-911, 2010.
- M. R. Brake and J. A. Wickert, “Lateral Vibration and Read/Write Head Servo Dynamics in Magnetic Tape Transport,” ASME Journal of Dynamic Systems, Measurement, and Control, 132 (1), pp. 011012-1 – 011012-11, 2010.
- M. R. Brake and J. A. Wickert, “Frictional Vibration Transmission From a Laterally Moving Surface to a Traveling Beam,” Journal of Sound and Vibration, 310 (3), pp. 663-675, 2008.
- M. R. Brake and J. A. Wickert, “Optimizing Vibration Isolation of Flex Circuits in Hard Disk Drives,” ASME Journal of Vibration and Acoustics, 127 (2), pp. 165-172, 2005.