Fracture, Fatigue, Failure and Damage Evolution, Volume 7

13 Cross-Axis Coupling and Phase Angle Effects Due to Multiaxial Vibration 97 Fig. 13.2 Beam tip response as a function of cycles and phase Understanding the coupling effects due to multiaxial base excitation was an important step in predicting the structural response and lifecycle of complex systems, which is the subject of current efforts at the Army Research Laboratory. The sensitivity of the phase angle between the rotation and transverse base excitation may broaden design space for improving reliability. References 1. Pagnacco, E., Lambert, S., Khalij, L., Rade, D.A.: Design optimisation of linear structures subjected to dynamic random loads with respect to fatigue life. Int. J. Fatigue. 43, 168–177 (2012) 2. Mršnik, M., Slavicˇ, J., Boltežar, M.: Multiaxial vibration fatigue—A theoretical and experimental comparison. Mech. Syst. Signal Process. 76(77), 409–423 (2016) 3. Habtour, E., Connon, W., Pohland, M.F., Stanton, S.C., Paulus, M., Dasgupta, A.: Review of multiaxial vibration in linear and nonlinear structures. Shock. Vib. (2014). doi:10.1155/2014/294271 4. Ernst, M., Habtour, E., Dasgupta, A., Pohland, M., Robeson, M., Paulus, M.: Comparison of electronic component durability under uniaxial and multiaxial random vibrations. J. Electron Packag. 137(1), (2015). doi:10.1115/1.4028516 5. Ernst, M., Habtour, E., Dasgupta, A.: Examining Steinberg’s Octave rule applicability for electronic systems exposed to multiaxial vibration. IEEE Trans. Compon. Packag. Manuf. Technol. 6(4), (2016). doi:10.1109/TCPMT.2016.2519447 6. Gregory, D., Bitsy F., Smallwood, D.O.: Comparison of the response of a simple structure to single axis and multiple axis random vibration inputs. In: Shock and Vibration Symposium, Orlando, 2008 7. Thomas, O., Sénéchal, A., Deü, J.-F.: Hardening/softening behavior and reduced order modeling of nonlinear vibrations of rotating cantilever beams. Nonlinear Dyn. 86(2), 1293–1318 (2016) 8. Habtour, E., Cole, D.P., Riddick, J.C., Weiss, V., Robeson, M., Sridharan, R., Dasgupta, A.: Detection of fatigue damage precursor using a nonlinear vibration approach. J. Struct. Health Monit. (2016). doi:10.1002/stc.1844 9. Habtour, E., Cole, D.P., Sridharan, R., Stanton, S., Dasgupta, A.: Damage precursor detection for structures under nonlinear rotational base vibration. Int. J. Nonlinear Mech. 82, 49–58 (2016) 10. Vantadori, S., Haynes, R., Fortese, G., Habtour, E., Ronchei, C., Scorza, D., Zanichelli, A.: Methodology for assessing embryonic cracks development in structures under high-cycle multiaxial random vibrations. Fatigue Fract. Engng. Mater. Struct. (2017). doi:10.1111/ffe.12634 11. Rabiei, E., Droguett, E.L., Modarres, M.: A prognostics approach based on the evolution of damage precursors using dynamic Bayesian networks. Adv. Mech. Eng. 8(9), (2016)

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