Anjum, Naveed; He, Ji-Huan Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly. (English) Zbl 07312244 Int. J. Mod. Phys. B 34, No. 32, Article ID 2050313, 9 p. (2020). MSC: 34A45 34C15 34C25 PDF BibTeX XML Cite \textit{N. Anjum} and \textit{J.-H. He}, Int. J. Mod. Phys. B 34, No. 32, Article ID 2050313, 9 p. (2020; Zbl 07312244) Full Text: DOI
Moro, Federico; Desideri, Daniele; Doria, Alberto; Maschio, Alvise; Medé, Cristian; Codecasa, Lorenzo A face-smoothed cell method for static and dynamic piezoelectric coupled problems on polyhedral meshes. (English) Zbl 1452.74041 J. Comput. Phys. 386, 84-109 (2019). MSC: 74F15 65M50 74S05 74M25 65Z05 PDF BibTeX XML Cite \textit{F. Moro} et al., J. Comput. Phys. 386, 84--109 (2019; Zbl 1452.74041) Full Text: DOI
Gusso, André; Viana, Ricardo L.; Mathias, Amanda C.; Caldas, Iberê L. Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes. (English) Zbl 1448.74054 Chaos Solitons Fractals 122, 6-16 (2019). MSC: 74H65 74K10 74F15 37N15 37M05 PDF BibTeX XML Cite \textit{A. Gusso} et al., Chaos Solitons Fractals 122, 6--16 (2019; Zbl 1448.74054) Full Text: DOI
Laurençot, Philippe; Walker, Christoph Some singular equations modeling MEMS. (English) Zbl 07250922 Bull. Am. Math. Soc., New Ser. 54, No. 3, 437-479 (2017). Reviewer: Ramón Quintanilla De Latorre (Barcelona) MSC: 35Q74 35R35 35M33 35K91 35B44 35B65 78A30 74F15 74B20 74K10 35J05 35A01 35A02 PDF BibTeX XML Cite \textit{P. Laurençot} and \textit{C. Walker}, Bull. Am. Math. Soc., New Ser. 54, No. 3, 437--479 (2017; Zbl 07250922) Full Text: DOI
Verma, Payal; Arya, Sandeep K.; Gopal, Ram Lumped parameter analytic modeling and behavioral simulation of a 3-DOF MEMS gyro-accelerometer. (English) Zbl 1342.70015 Acta Mech. Sin. 31, No. 6, 910-919 (2015). MSC: 70E05 PDF BibTeX XML Cite \textit{P. Verma} et al., Acta Mech. Sin. 31, No. 6, 910--919 (2015; Zbl 1342.70015) Full Text: DOI
Kohlmann, Martin The abstract quasilinear Cauchy problem for a MEMS model with two free boundaries. (English) Zbl 1322.35183 Acta Appl. Math. 138, No. 1, 171-197 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35R35 35M33 35B30 35Q74 74M05 PDF BibTeX XML Cite \textit{M. Kohlmann}, Acta Appl. Math. 138, No. 1, 171--197 (2015; Zbl 1322.35183) Full Text: DOI arXiv
Sun, Weijie; Lan, Jianglin; Yeow, John T. W. Constraint adaptive output regulation of output feedback systems with application to electrostatic torsional micromirror. (English) Zbl 1312.93064 Int. J. Robust Nonlinear Control 25, No. 4, 504-520 (2015). MSC: 93C40 93B52 93B35 93C10 93C95 PDF BibTeX XML Cite \textit{W. Sun} et al., Int. J. Robust Nonlinear Control 25, No. 4, 504--520 (2015; Zbl 1312.93064) Full Text: DOI
Clason, Christian; Kaltenbacher, Barbara Optimal control of a singular PDE modeling transient MEMS with control or state constraints. (English) Zbl 1307.49020 J. Math. Anal. Appl. 410, No. 1, 455-468 (2014). MSC: 49K20 PDF BibTeX XML Cite \textit{C. Clason} and \textit{B. Kaltenbacher}, J. Math. Anal. Appl. 410, No. 1, 455--468 (2014; Zbl 1307.49020) Full Text: DOI
Kovalev, V. L.; Kos’yanchuk, V. V.; Yakunchikov, A. N. Free-molecular gas flow through an oscillating membrane. (English. Russian original) Zbl 1301.76067 Fluid Dyn. 49, No. 4, 524-529 (2014); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2014, No. 4, 119-124 (2014). MSC: 76P05 PDF BibTeX XML Cite \textit{V. L. Kovalev} et al., Fluid Dyn. 49, No. 4, 524--529 (2014; Zbl 1301.76067); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2014, No. 4, 119--124 (2014) Full Text: DOI
Laurençot, Philippe; Walker, Christoph A free boundary problem modeling electrostatic MEMS. II: Nonlinear bending effects. (English) Zbl 1303.35122 Math. Models Methods Appl. Sci. 24, No. 13, 2549-2568 (2014). MSC: 35R35 35M33 35Q74 35K93 47D06 74M05 PDF BibTeX XML Cite \textit{P. Laurençot} and \textit{C. Walker}, Math. Models Methods Appl. Sci. 24, No. 13, 2549--2568 (2014; Zbl 1303.35122) Full Text: DOI arXiv
Alwan, Aravind; Aluru, N. R. Improved statistical models for limited datasets in uncertainty quantification using stochastic collocation. (English) Zbl 1349.65044 J. Comput. Phys. 255, 521-539 (2013). MSC: 65C50 62G07 PDF BibTeX XML Cite \textit{A. Alwan} and \textit{N. R. Aluru}, J. Comput. Phys. 255, 521--539 (2013; Zbl 1349.65044) Full Text: DOI
Hassanpour, Pezhman A.; Nieva, Patricia M.; Khajepour, Amir Electrostatic fringes effect in systems with three charged parallel micro-beams. (English) Zbl 1349.74264 Appl. Math. Modelling 37, No. 4, 1932-1947 (2013). MSC: 74M05 74F15 74K10 PDF BibTeX XML Cite \textit{P. A. Hassanpour} et al., Appl. Math. Modelling 37, No. 4, 1932--1947 (2013; Zbl 1349.74264) Full Text: DOI
Ruzziconi, Laura; Younis, Mohammad I.; Lenci, Stefano An electrically actuated imperfect microbeam: dynamical integrity for interpreting and predicting the device response. (English) Zbl 1293.74271 Meccanica 48, No. 7, 1761-1775 (2013). MSC: 74K10 74F15 74H45 74M25 PDF BibTeX XML Cite \textit{L. Ruzziconi} et al., Meccanica 48, No. 7, 1761--1775 (2013; Zbl 1293.74271) Full Text: DOI
Ruzziconi, Laura; Lenci, Stefano; Younis, Mohammad I. An imperfect microbeam under an axial load and electric excitation: nonlinear phenomena and dynamical integrity. (English) Zbl 1270.74115 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350026, 17 p. (2013). MSC: 74K10 74H55 74H40 PDF BibTeX XML Cite \textit{L. Ruzziconi} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350026, 17 p. (2013; Zbl 1270.74115) Full Text: DOI
Clason, Christian; Kaltenbacher, Barbara On the use of state constraints in optimal control of singular PDEs. (English) Zbl 1260.49003 Syst. Control Lett. 62, No. 1, 48-54 (2013). MSC: 49J20 49K20 PDF BibTeX XML Cite \textit{C. Clason} and \textit{B. Kaltenbacher}, Syst. Control Lett. 62, No. 1, 48--54 (2013; Zbl 1260.49003) Full Text: DOI
Joglekar, M. M.; Pawaskar, D. N. Shape optimization of electrostatically actuated microbeams for extending static and dynamic operating ranges. (English) Zbl 1274.74346 Struct. Multidiscip. Optim. 46, No. 6, 871-890 (2012). MSC: 74P15 74M05 74S05 74M25 PDF BibTeX XML Cite \textit{M. M. Joglekar} and \textit{D. N. Pawaskar}, Struct. Multidiscip. Optim. 46, No. 6, 871--890 (2012; Zbl 1274.74346) Full Text: DOI
Lindsay, A. E.; Lega, J. Multiple quenching solutions of a fourth order parabolic PDE with a singular nonlinearity modeling a MEMS capacitor. (English) Zbl 1254.35130 SIAM J. Appl. Math. 72, No. 3, 935-958 (2012). MSC: 35K67 35K35 35K58 74H35 74H10 PDF BibTeX XML Cite \textit{A. E. Lindsay} and \textit{J. Lega}, SIAM J. Appl. Math. 72, No. 3, 935--958 (2012; Zbl 1254.35130) Full Text: DOI arXiv
Alwan, Aravind; Aluru, N. R. Uncertainty quantification of MEMS using a data-dependent adaptive stochastic collocation method. (English) Zbl 1230.74079 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 3169-3182 (2011). MSC: 74F15 78A55 PDF BibTeX XML Cite \textit{A. Alwan} and \textit{N. R. Aluru}, Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 3169--3182 (2011; Zbl 1230.74079) Full Text: DOI
Zhu, Guchuan Electrostatic MEMS: modelling, control, and applications. (English) Zbl 1219.93087 Lévine, Jean (ed.) et al., Advances in the theory of control, signals and systems with physical modeling. Papers based on the presentations at the Bernoulli Programme, Lausanne, Switzerland, January to June 2009. Berlin: Springer (ISBN 978-3-642-16134-6/pbk; 978-3-642-16135-3/ebook). Lecture Notes in Control and Information Sciences 407, 113-123 (2011). MSC: 93C95 93B51 PDF BibTeX XML Cite \textit{G. Zhu}, Lect. Notes Control Inf. Sci. 407, 113--123 (2011; Zbl 1219.93087)
Najar, F.; Nayfeh, A. H.; Abdel-Rahman, E. M.; Choura, S.; El-Borgi, S. Nonlinear analysis of MEMS electrostatic microactuators: primary and secondary resonances of the first mode*. (English) Zbl 1269.74099 J. Vib. Control 16, No. 9, 1321-1349 (2010). MSC: 74H45 74F15 74H15 PDF BibTeX XML Cite \textit{F. Najar} et al., J. Vib. Control 16, No. 9, 1321--1349 (2010; Zbl 1269.74099) Full Text: DOI
Najar, F.; Nayfeh, A. H.; Abdel-Rahman, E. M.; Choura, S.; El-Borgi, S. Dynamics and global stability of beam-based electrostatic microactuators. (English) Zbl 1269.74113 J. Vib. Control 16, No. 5, 721-748 (2010). MSC: 74H55 74H60 74K10 74F15 PDF BibTeX XML Cite \textit{F. Najar} et al., J. Vib. Control 16, No. 5, 721--748 (2010; Zbl 1269.74113) Full Text: DOI
Kashtalyan, M.; Zhuk, Y. A. Effect of residual stresses on wave propagation in adhesively bonded multilayered MEMS structures. (English) Zbl 1231.74037 CMES, Comput. Model. Eng. Sci. 57, No. 1, 1-30 (2010). MSC: 74B10 74B15 74M05 PDF BibTeX XML Cite \textit{M. Kashtalyan} and \textit{Y. A. Zhuk}, CMES, Comput. Model. Eng. Sci. 57, No. 1, 1--30 (2010; Zbl 1231.74037) Full Text: DOI
Guan, Le; Chu, Jinkui; Gao, Jiali; Zhang, Ran Nonlinear transient analysis for large-scale dynamics of microelectromechanical systems with the Mor-Pim method. (English) Zbl 1218.37118 Math. Comput. Appl. 15, No. 5, 859-865 (2010). Reviewer: Yajuan Sun (Beijing) MSC: 37N20 37M05 PDF BibTeX XML Cite \textit{L. Guan} et al., Math. Comput. Appl. 15, No. 5, 859--865 (2010; Zbl 1218.37118) Full Text: DOI
Shen, Yu-Lin Substrate-constrained deformation in thin metal films: numerical case studies. (English) Zbl 1274.74183 Int. J. Theor. Appl. Multiscale Mech. 1, No. 1, 57-70 (2009). MSC: 74K35 74S05 PDF BibTeX XML Cite \textit{Y.-L. Shen}, Int. J. Theor. Appl. Multiscale Mech. 1, No. 1, 57--70 (2009; Zbl 1274.74183) Full Text: DOI
Moulton, D. E.; Pelesko, J. A. Catenoid in an electric field. (English) Zbl 1204.78006 SIAM J. Appl. Math. 70, No. 1, 212-230 (2009). Reviewer: Ion Mihai (Bucureşti) MSC: 78A30 PDF BibTeX XML Cite \textit{D. E. Moulton} and \textit{J. A. Pelesko}, SIAM J. Appl. Math. 70, No. 1, 212--230 (2009; Zbl 1204.78006) Full Text: DOI
Malisoff, Michael; Mazenc, Frédéric; de Queiroz, Marcio Tracking and robustness analysis for controlled microelectromechanical relays. (English) Zbl 1169.93398 Int. J. Robust Nonlinear Control 18, No. 18, 1637-1656 (2008). MSC: 93D25 93C10 93D05 PDF BibTeX XML Cite \textit{M. Malisoff} et al., Int. J. Robust Nonlinear Control 18, No. 18, 1637--1656 (2008; Zbl 1169.93398) Full Text: DOI
Ardito, Raffaele; Comi, Claudia; Corigliano, Alberto; Frangi, Attilio Solid damping in micro electro mechanical systems. (English) Zbl 1163.74494 Meccanica 43, No. 4, 419-428 (2008). MSC: 74F15 74F05 74M25 PDF BibTeX XML Cite \textit{R. Ardito} et al., Meccanica 43, No. 4, 419--428 (2008; Zbl 1163.74494) Full Text: DOI
Chen, Hui; Mukherjee, Subrata Charge distribution on narrow MEMS beams of nearly square cross-section. (English) Zbl 1151.78373 Commun. Numer. Methods Eng. 24, No. 11, 1135-1148 (2008). MSC: 78M15 78A40 PDF BibTeX XML Cite \textit{H. Chen} and \textit{S. Mukherjee}, Commun. Numer. Methods Eng. 24, No. 11, 1135--1148 (2008; Zbl 1151.78373) Full Text: DOI
Chen, Hui; Mukherjee, Subrata Modeling of the ground plane in electrostatic BEM analysis of MEMS and NEMS. (English) Zbl 1195.78065 Eng. Anal. Bound. Elem. 30, No. 11, 910-924 (2006). MSC: 78M15 78A55 PDF BibTeX XML Cite \textit{H. Chen} and \textit{S. Mukherjee}, Eng. Anal. Bound. Elem. 30, No. 11, 910--924 (2006; Zbl 1195.78065) Full Text: DOI
Jazar, G. Nakhaie Mathematical modeling and simulation of thermal effects in flexural microcantilever resonator dynamics. (English) Zbl 1182.74093 J. Vib. Control 12, No. 2, 139-163 (2006). MSC: 74H45 74F05 74K10 78A55 PDF BibTeX XML Cite \textit{G. N. Jazar}, J. Vib. Control 12, No. 2, 139--163 (2006; Zbl 1182.74093) Full Text: DOI
Liqin, Liu; Gang, Tangyou; Zhiqiang, Wu Nonlinear dynamics of microelectromechanical systems. (English) Zbl 1182.74126 J. Vib. Control 12, No. 1, 57-65 (2006). MSC: 74H65 74H60 74K10 78A55 PDF BibTeX XML Cite \textit{L. Liqin} et al., J. Vib. Control 12, No. 1, 57--65 (2006; Zbl 1182.74126) Full Text: DOI
De, Sudipto K.; Aluru, N. R. \(U\)-sequence in electrostatic microelectromechanical systems (MEMS). (English) Zbl 1149.78315 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2075, 3435-3464 (2006). MSC: 78A55 PDF BibTeX XML Cite \textit{S. K. De} and \textit{N. R. Aluru}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2075, 3435--3464 (2006; Zbl 1149.78315) Full Text: DOI
Peano, F.; Coppa, G.; Serazio, C.; Peinetti, F.; D’Angola, A. Nonlinear oscillations in a MEMS energy scavenger. (English) Zbl 1136.78322 Math. Comput. Modelling 43, No. 11-12, 1412-1423 (2006). MSC: 78A55 78M25 74S30 74F15 PDF BibTeX XML Cite \textit{F. Peano} et al., Math. Comput. Modelling 43, No. 11--12, 1412--1423 (2006; Zbl 1136.78322) Full Text: DOI
Cetiner, Bedri A.; Qian, J. Y.; Li, G. P.; De Flaviis, F. A reconfigurable spiral antenna for adaptive MIMO systems. (English) Zbl 1123.94383 EURASIP J. Wirel. Commun. Netw. 2005, No. 3, 382-389 (2005). MSC: 94A99 PDF BibTeX XML Cite \textit{B. A. Cetiner} et al., EURASIP J. Wirel. Commun. Netw. 2005, No. 3, 382--389 (2005; Zbl 1123.94383) Full Text: DOI
Pelesko, John A.; Driscoll, Tobin A. The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models. (English) Zbl 1107.78009 J. Eng. Math. 53, No. 3-4, 239-252 (2005). MSC: 78A55 78M35 PDF BibTeX XML Cite \textit{J. A. Pelesko} and \textit{T. A. Driscoll}, J. Eng. Math. 53, No. 3--4, 239--252 (2005; Zbl 1107.78009) Full Text: DOI
Wang, P. K. C. Bifurcation of equilibrium in micromachined elastic structures with liquid interface. (English) Zbl 1069.74500 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 4, 1019-1027 (2003). MSC: 74G60 74K10 74K15 74F10 PDF BibTeX XML Cite \textit{P. K. C. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 4, 1019--1027 (2003; Zbl 1069.74500) Full Text: DOI
Xu, Y. G.; Liu, G. R.; Ohtsubo, H. A novel hybrid genetic algorithm and its application to inverse problems in MEMS. (English) Zbl 1040.78528 Hon, Yiu-Chung (ed.) et al., Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9–12, 2002. River Edge, NJ: World Scientific (ISBN 981-238-366-2/pbk). 314-321 (2003). MSC: 78M25 74F15 78A55 PDF BibTeX XML Cite \textit{Y. G. Xu} et al., in: Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9--12, 2002. River Edge, NJ: World Scientific. 314--321 (2003; Zbl 1040.78528)
Lockerby, Duncan A.; Reese, Jason M. High-resolution Burnett simulations of micro-Couette flow and heat transfer. (English) Zbl 1041.76064 J. Comput. Phys. 188, No. 2, 333-347 (2003). MSC: 76P05 80A20 PDF BibTeX XML Cite \textit{D. A. Lockerby} and \textit{J. M. Reese}, J. Comput. Phys. 188, No. 2, 333--347 (2003; Zbl 1041.76064) Full Text: DOI
Bai, Zhaojun Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. (English) Zbl 1012.65136 Appl. Numer. Math. 43, No. 1-2, 9-44 (2002). MSC: 65P10 37M15 PDF BibTeX XML Cite \textit{Z. Bai}, Appl. Numer. Math. 43, No. 1--2, 9--44 (2002; Zbl 1012.65136) Full Text: DOI
Pelesko, John A. Mathematical modeling of electrostatic MEMS with tailored dielectric properties. (English) Zbl 1007.78005 SIAM J. Appl. Math. 62, No. 3, 888-908 (2002). MSC: 78A30 78M30 35J99 PDF BibTeX XML Cite \textit{J. A. Pelesko}, SIAM J. Appl. Math. 62, No. 3, 888--908 (2002; Zbl 1007.78005) Full Text: DOI
Gad-el-Hak, Mohamed (ed.) The MEMS handbook. (English) Zbl 1060.74001 CRC Mechanical Engineering Series. Boca Raton, FL: CRC Press (ISBN 0-8493-0077-0/hbk). 928 p. (2002). Reviewer: Oleg Titow (Berlin) MSC: 74-00 76-00 PDF BibTeX XML Cite \textit{M. Gad-el-Hak} (ed.), The MEMS handbook. Boca Raton, FL: CRC Press (2002; Zbl 1060.74001)
Hoppensteadt, Frank C.; Izhikevich, Eugene M. Synchronization of MEMS resonators and mechanical neurocomputing. (English) Zbl 1015.68142 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 48, No. 2, 133-138 (2001). MSC: 68T05 82C32 94A08 68T10 PDF BibTeX XML Cite \textit{F. C. Hoppensteadt} and \textit{E. M. Izhikevich}, IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 48, No. 2, 133--138 (2001; Zbl 1015.68142) Full Text: DOI
Sigmund, O. Design of multiphysics actuators using topology optimization. I: One-material structures. II: Two-material structures. (English) Zbl 1116.74407 Comput. Methods Appl. Mech. Eng. 190, No. 49-50, 6577-6627 (2001). MSC: 74P15 74S05 PDF BibTeX XML Cite \textit{O. Sigmund}, Comput. Methods Appl. Mech. Eng. 190, No. 49--50, 6577--6627 (2001; Zbl 1116.74407) Full Text: DOI DOI
Pelesko, J. A.; Triolo, A. A. Nonlocal problems in MEMS device control. (English) Zbl 0991.78026 J. Eng. Math. 41, No. 4, 345-366 (2001). MSC: 78A55 35J99 PDF BibTeX XML Cite \textit{J. A. Pelesko} and \textit{A. A. Triolo}, J. Eng. Math. 41, No. 4, 345--366 (2001; Zbl 0991.78026) Full Text: DOI