On Regularization in Design for Reliability for Nonlinear Planar Beam-Type Resonators

[1]  W. J. Venstra,et al.  Nonlinear modal interactions in clamped-clamped mechanical resonators. , 2010, Physical review letters.

[2]  A. H. Nayfeh,et al.  Nonlinear motions of beam-mass structure , 1990 .

[3]  Dimitrios Peroulis,et al.  An equation-based nonlinear model for non-flat MEMS fixed–fixed beams with non-vertical anchoring supports , 2015 .

[4]  J. C. Helton,et al.  An Investigation of Uncertainty and Sensitivity Analysis Techniques for Computer Models , 1988 .

[5]  A. Tripathi On computational synthesis and dynamic analysis of nonlinear resonant systems with internal resonances , 2015 .

[6]  D. Peroulis,et al.  A Microresonator Design Based on Nonlinear 1 : 2 Internal Resonance in Flexural Structural Modes , 2009, Journal of Microelectromechanical Systems.

[7]  Dimitrios Peroulis,et al.  Estimating residual stress, curvature and boundary compliance of doubly clamped MEMS from their vibration response , 2013 .

[8]  Mohammad I. Younis,et al.  Tunable Resonators for Nonlinear Modal Interactions , 2016, Scientific Reports.

[9]  M. D. McKay,et al.  A comparison of three methods for selecting values of input variables in the analysis of output from a computer code , 2000 .

[10]  Ali H. Nayfeh,et al.  Nonlinear Interactions: Analytical, Computational, and Experimental Methods , 2000 .

[11]  M. Roukes,et al.  Nonlinear dynamics and chaos in two coupled nanomechanical resonators , 2008, 0811.0870.

[12]  J. Friedman Multivariate adaptive regression splines , 1990 .

[13]  Steven W. Shaw,et al.  Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators , 2010 .

[14]  Anil K. Bajaj,et al.  Topology optimization and internal resonances in transverse vibrations of hyperelastic plates , 2016 .

[15]  D. Xiu Efficient collocational approach for parametric uncertainty analysis , 2007 .

[16]  Rajat Goyal Application of uncertainty quantification techniques for a nonlinear 1:2 internal resonance system , 2012 .

[17]  Ralph C. Smith,et al.  Uncertainty Quantification: Theory, Implementation, and Applications , 2013 .

[18]  Anil K. Bajaj,et al.  Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system , 1994 .

[19]  Gabriel M. Rebeiz RF MEMS: Theory, Design and Technology , 2003 .

[20]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[21]  R. Ghanem,et al.  Stochastic Finite Elements: A Spectral Approach , 1990 .

[22]  D. Bindel,et al.  Topology optimization in micromechanical resonator design , 2012 .

[23]  D. Peroulis,et al.  Estimating the In-Plane Young's Modulus of Polycrystalline Films in MEMS , 2012, Journal of microelectromechanical systems.

[24]  Anil K. Bajaj,et al.  Quantification of Uncertainty in Creep Failure of RF-MEMS Switches , 2017 .

[25]  C. Samanta,et al.  Nonlinear mode coupling and internal resonances in MoS2 nanoelectromechanical system , 2015 .

[26]  Matthew S. Allen,et al.  Comparison of Uncertainty Propagation / Response Surface Techniques for Two Aeroelastic Systems , 2009 .

[27]  Anil K. Bajaj,et al.  Computational Synthesis for Nonlinear Dynamics Based Design of Planar Resonant Structures , 2013 .