000 04786cam a2200505 a 4500
001 on1153907495
003 OCoLC
005 20230516165851.0
006 m o d
007 cr un|---aucuu
008 200509s2020 ne o 001 0 eng d
040 _aEBLCP
_beng
_epn
_cEBLCP
_dYDX
_dGW5XE
_dOPELS
_dOCLCF
_dUKAHL
_dUKMGB
_dOCLCQ
_dOCLCO
_dK6U
_dOCLCQ
015 _aGBC062875
_2bnb
016 7 _a019801756
_2Uk
019 _a1153286642
020 _a9780128192368
020 _a0128192364
020 _z9780128192351
_q(print)
020 _z0128192356
035 _a(OCoLC)1153907495
_z(OCoLC)1153286642
050 4 _aQA372
082 0 4 _a515/.355
_223
100 1 _aKoochi, Ali.
_968722
245 1 0 _aNonlinear differential equations in micro/nano mechanics :
_bapplication in micro/nano structures and electromechanical systems /
_cAli Koochi, Mohamadreza Abadyan.
260 _aAmsterdam :
_bElsevier,
_c2020.
300 _a1 online resource (272 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
588 0 _aPrint version record.
505 0 _aFront Cover -- Nonlinear Differential Equations in Micro/nano Mechanics -- Copyright -- Contents -- Preface -- Acknowledgments -- 1 Differential equations in miniature structures -- 1.1 Introduction to miniature structures -- 1.2 Physics of small-scale structures -- 1.2.1 Electrostatic actuation -- 1.2.2 Pull-in instability -- 1.2.3 Dispersion forces -- 1.2.4 Size dependency -- 1.2.5 Surface effects -- 1.2.6 Damping in NEMS/MEMS -- 1.2.6.1 Drag force -- 1.2.6.2 Squeezed lm damping -- 1.2.6.3 Slide lm damping -- 1.3 Modeling of small-scale structures -- 1.3.1 Lumped parameter model
505 8 _a1.3.2 Micro/nanoscale continuum mechanics -- 1.3.2.1 Strain-displacement relations -- 1.3.2.2 Constitutive equation -- 1.4 Conclusion -- References -- 2 Semianalytical solution methods -- 2.1 Introduction -- 2.2 Homotopy perturbation method -- 2.2.1 Cantilever nanoactuator in van der Waals regime -- 2.3 Adomian decomposition methods -- 2.3.1 Conventional Adomian decomposition method -- 2.3.1.1 Nanoswitch in Casimir regime -- 2.3.2 Modi ed Adomian decomposition method -- 2.3.2.1 Size-dependent behavior of the NEMS with elastic boundary condition
505 8 _a2.3.3 Comparison between the conventional and modi ed Adomian decomposition methods -- 2.4 Green's function methods -- 2.4.1 General Green's function -- 2.4.1.1 Carbon-nanotube actuator close to graphite sheets -- 2.4.2 Monotonic iteration method -- 2.4.2.1 Size-dependent behavior of the nanowire manufactured nanoswitch -- 2.5 Differential transformation method -- 2.5.1 Size-dependent instability of a double-sided nanobridge -- 2.6 Variation iteration methods -- 2.6.1 Nanowire manufactured nanotweezers -- 2.7 Galerkin method for static problems
505 8 _a2.7.1 Circular micromembrane subjected to hydrostatic pressure and electrostatic force -- 2.8 Conclusion -- References -- 3 Numerical solution methods -- 3.1 Introduction -- 3.2 Generalized differential quadrature method -- 3.2.1 Impact of size and surface energies on the performance of nanotweezers -- 3.2.2 U-shaped nanosensor -- 3.3 Finite difference method -- 3.3.1 Nanoactuator in ionic liquid media -- 3.3.2 Paddle-type nanosensor -- 3.4 Finite element method -- 3.4.1 Double-sided nanobridge in Casimir regime -- 3.4.2 Parallel-plates microcapacitor -- 3.5 Conclusion -- References
505 8 _a4 Dynamic and time-dependent equations -- 4.1 Introduction -- 4.2 Reduced-order approaches -- 4.2.1 Galerkin method for dynamic problems -- 4.2.1.1 Dynamic analysis of narrow nanoactuators -- 4.2.1.2 Dynamic analysis of narrow nanoactuators with AC actuation -- 4.2.2 Rayleigh-Ritz method -- 4.2.2.1 Dynamic analysis of nanowire-based sensor in the accelerating eld -- 4.3 Runge-Kutta method -- 4.3.1 Dynamic behavior of rotational nanomirror -- 4.3.2 Torsion/bending dynamic analysis of a circular nanoscanner -- 4.4 Homotopy perturbation method for time-dependent differential equations
500 _a4.4.1 Dynamic behavior of a nonlocal nanobridge with the surface effect
500 _aIncludes index.
650 0 _aDifferential equations, Nonlinear.
_93446
650 6 _a�Equations diff�erentielles non lin�eaires.
_0(CaQQLa)201-0041487
_968723
650 7 _aDifferential equations, Nonlinear.
_2fast
_0(OCoLC)fst00893474
_93446
700 1 _aAbadyan, Mohamadreza.
_968724
776 0 8 _iPrint version:
_aKoochi, Ali.
_tNonlinear Differential Equations in Micro/nano Mechanics : Application in Micro/Nano Structures and Electromechanical Systems.
_dSan Diego : Elsevier, �2020
856 4 0 _3ScienceDirect
_uhttps://www.sciencedirect.com/science/book/9780128192351
942 _cEBK
999 _c82436
_d82436