@Book{Lyshevski2002, author="S. E. Lyshevski", title="MEMS and NEMS: systems, devices and structures", year="2002", publisher="CRC Press", address="Boca Raton" } @Book{Osiander2006, author="R. Osiander, M. Ann Garrison Darrin, J. L. Champion", title="MEMS and microstructures in aerospace applications", year="2006", publisher="Taylor & Francis", address="Boca Raton" } @Article{Abeysinghe2001, author="D. C. Abeysinghe, S. Dasgupta, J. T. Boyd, H. E. Jackson", title="A novel MEMS pressure sensor fabricated on an optical fiber", journal="IEEE Photonics Technology Letters", year="2001", pages="993--995", volume="13" } @Article{Jain2011, author="A. Jain, K. E. Goodson", title="Thermal microdevices for biological and biomedical applications", journal="J. Therm. Biol.", year="2011", pages="209--218", volume="36" } @Book{Jia2010, author="X. L. Jia, J. Yang, S. Kitipornchai, C. W. Lim", title="Free vibration of geometrically nonlinear micro-switches under electrostatic and Casimir forces", year="2010", publisher="Smart Mater. Struct.", address="Vol. 19," } @Article{Lee2004, author="S. I. Lee, S. W. Howell, A. Raman, R. Reifenberger, C. V. Nguyen, M. Meyyappan", title="Nonlinear tapping dynamics of multi-walled carbon nanotube tipped atomicforce microcantilevers", journal="Nanotechnology", year="2004", pages="416--421", volume="15" } @Article{Batra2006, author="R. C. Batra, M. Porfiri, D. Spinello", title="Electromechanical model of electrically actuated narrow microbeams", journal="J. Microelectromech. Syst.", year="2006", pages="1175--1189", volume="15" } @Article{Rhoads2006, author="J. F. Rhoads, S. W. Shaw, K. L. Turner", title="The nonlinear response of resonant microbeam systems with purely-parametric electrostatic actuation", journal="J. Micromech. Microeng.", year="2006", pages="890--899", volume="16" } @Article{Zand2009, author="M. Moghimi Zand, M. T. Ahmadian", title="Application of homotopy analysis method in studying dynamic pull-in instability of microsystems", journal="Mech. Res. Commun.", year="2009", pages="851--858", volume="36" } @Article{Zand2009, author="M. Moghimi Zand, M. T. Ahmadian", title="Vibrational analysis of electrostatically actuated microstructures considering nonlinear effects", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2009", pages="1664--1678", volume="14" } @Article{Demir2010, author="Ç. Demir, Ö. Civalek, B. Akgöz", title="Free vibration analysis of carbon nanotubes based on shear deformable beam theory by discrete singular convolutiontechnique", journal="Math. Comput. Appl.", year="2010", pages="57--65", volume="15" } @Article{Akgöz2011, author="B. Akgöz, Ö. Civalek", title="Application of strain gradient elasticity theory for buckling Analysis of protein microtubules", journal="Curr. Appl. Phys.", year="2011", pages="1133--1138", volume="11" } @Article{Fu2011, author="Y. M. Fu, J. Zhang, L. J. Wan", title="Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS)", journal="Curr. Appl. Phys.", year="2011", pages="482--485", volume="11" } @Article{Fereidoon2010, author="A. Fereidoon, D. D. Ganji, H. D. Kaliji, M. Ghadimi", title="Analytical solution for vibration of buckled beams", journal="International Journal of Research and Reviews in Applied Sciences", year="2010", pages="17--21", volume="4" } @Article{Nawaz2011, author="Y. Nawaz", title="Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations", journal="Computers and Mathematics with Applications", year="2011", pages="2330--2341", volume="61" } @Article{Ganji2011, author="S. S. Ganji, A. Barari, M. G. Sfahani, G. Domairry, P. Teimourzadeh Baboli", title="Consideration of transient stream/aquifer interaction with the nonlinear Boussinesq equation using HPM", journal="Journal of King Saud University-Science", year="2011", pages="211--216", volume="23" } @Article{Farrokhzad2011, author="F. Farrokhzad, P. Mowlaee, A. Barari, A. J. Choobbasti, H. D. Kaliji", title="Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods", journal="Carpathian Journal of Mathematics", year="2011", pages="51--63", volume="27" } @Article{Changbum2010, author="C. Changbum, S. Rathinasamy", title="Homotopy perturbation technique for solving two-point boundary value problems–comparison with other methods", journal="Computer Physics Communications", year="2010", pages="1021--1024", volume="181" } @Article{Fooladi2009, author="M. Fooladi, S. R. Abaspour, A. Kimiaeifar, M. Rahimpour", title="On the Analytical Solution of Kirchhoff Simplified Model for Beam by using of Homotopy Analysis Method", journal="World Applied Sciences Journal", year="2009", pages="297--302", volume="6" } @Article{R.Ghotbi2009, author="A. R.Ghotbi, H. Bararnia, G. Domairry, A. Barari", title="Investigation of a powerful analytical method into natural convection boundary layer flow", journal="Commun. Nonlinear Sci. Numer. Simulat.", year="2009", pages="2222--2228", volume="14" } @Article{Sohouli2010, author="A. R. Sohouli, M. Famouri, A. Kimiaeifar, G. Domairry", title="Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux", journal="Commun. Nonlinear Sci. Numer. Simulat.", year="2010", pages="1691--1699", volume="15" } @Article{He2006, author="J. H. He", title="Some Asymptotic Methods for Strongly Nonlinear Equations", journal="International Journal of Modern Physics B", year="2006", pages="1141--1199", volume="20" } @Article{Turgut2009, author="Ö. Turgut, A. Yıldırım", title="Generating the periodic solutions for forcing van der Pol oscillators by the Iteration Perturbation method", journal="Nonlinear Analysis: Real World Applications", year="2009", pages="1984--1989", volume="10" } @Book{Younesian2010, author="D. Younesian, M. KalamiYazdi, H. Askari, Z. Saadatnia", title="Frequency Analysis of Higher-order Duffing Oscillator using Homotopy and Iteration-Perturbation Techniques", year="2010", publisher="In 18th annual international conference on mechanical engineering-ISME", address="2010" } @Article{Lu2011, author="J. F. Lu", title="An analytical approach to the Fornberg–Whitham type equations by using the variational iteration method", journal="Computers and Mathematics with Applications", year="2011", pages="2010--2013", volume="61" } @Article{Shang2010, author="X. F. Shang, D. F. Han", title="Application of the variational iteration method for solving nth-order integro-differential equations", journal="Journal of Computational and Applied Mathematics", year="2010", pages="1442--1447", volume="234" } @Book{Barari2011, author="A. Barari, H. D. Kaliji, M. Ghadimi, G. Domairry", title="Non-linear vibration of Euler-Bernoulli beams", year="2011", publisher="Latin American Journal of Solids and Structures", address="Vol. 8, 139--148," } @Article{Zhao2010, author="Y. X. Zhao, A. Xiao", title="Variational iteration method for singular perturbation initial value problems", journal="Computer Physics Communications", year="2010", pages="947--956", volume="181" } @Article{Joneidi2009, author="A. A. Joneidi, D. D. Ganji, M. Babaelahi", title="Differential Transformation Method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity", journal="International Communications in Heat and Mass Transfer", year="2009", pages="757--762", volume="36" } @Article{Abdel-Halim2008, author="H. I. H. Abdel-Halim", title="Application to differential transformation method for solving systems of differential equations", journal="Applied Mathematical Modeling", year="2008", pages="2552--2559", volume="32" } @Article{Kaliji2010, author="H. D. Kaliji, A. Fereidoon, M. Ghadimi, M. Eftari", title="Analytical Solutions for Investigating Free Vibration of Cantilever Beams", journal="World Applied Sciences Journal (Special Issue of Applied Math)", year="2010", pages="44--48", volume="9" } @Article{Zhao2009, author="L. Zhao", title="He’s frequency–amplitude formulation for nonlinear oscillators with an irrational force", journal="Computers and Mathematics with Applications", year="2009", pages="2477--2479", volume="58" } @Article{Fereidoon2011, author="A. Fereidoon, M. Ghadimi, A. Barari, H. D. Kaliji, G. Domairry", title="Nonlinear vibration of oscillation systems using frequency-amplitude formulation", journal="Journal of Shock and Vibration", year="2011", pages="1--10", volume="18" } @Article{He2008, author="J. H. He", title="Max–min approach to nonlinear oscillators", journal="Int. J. Nonlinear Sci. Numer. Simul", year="2008", pages="207--210", volume="9" } @Article{Ibsen2010, author="L. B. Ibsen, A. Barari, A. Kimiaeifar", title="Analysis of highly nonlinear oscillation systems using He’s max–min method and comparison with homotopy analysis and energy balance methods", journal="Sadhana", year="2010", pages="433--448", volume="35" } @Article{Ganji2011, author="S. S. Ganji, A. Barari, D. D. Ganji", title="Approximate analysis of two-mass–spring systems and buckling of a column", journal="Computers and Mathematics with Applications", year="2011", pages="1088--1095", volume="61" } @Article{Sfahani2010, author="M. G. Sfahani, S. S. Ganji, A. Barari, H. Mirgolbabaei, G. Domairry", title="Analytical solutions to nonlinear conservative oscillator with fifth-order nonlinearity", journal="Earthquake Engineering and Engineering Vibration", year="2010", pages="367--374", volume="9" } @Article{Ghadimi2011, author="M. Ghadimi, H. D. Kaliji, A. Barari", title="Analytical Solutions to Nonlinear Mechanical Oscillation Problems", journal="Journal of Vibroengineering", year="2011", pages="133--143", volume="13" }