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Volumn 14, Issue 6, 2009, Pages 2807-2816

Comparison of generalized differential quadrature and Galerkin methods for the analysis of micro-electro-mechanical coupled systems

Author keywords

Double clamped beam; Galerkin method; GDQM; MEMS; Nonlinear integro differential equation; Pull in voltage

Indexed keywords

DIFFERENTIATION (CALCULUS); INTEGRODIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS;

EID: 58349105755     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.07.016     Document Type: Article
Times cited : (45)

References (45)
  • 1
    • 85196200361 scopus 로고    scopus 로고
    • Goldsmith C, Randall Esheman JS, Esheman S, Lin TH, Denniston D, Chen S, Norvell B. Characteristics micromachined switches at microwave frequencies. In: Proceedings of the digest IEEE MTT-S international microwave symposium, San Francisco, USA, vol. 2; 1996. p. 1141-4.
    • Goldsmith C, Randall Esheman JS, Esheman S, Lin TH, Denniston D, Chen S, Norvell B. Characteristics micromachined switches at microwave frequencies. In: Proceedings of the digest IEEE MTT-S international microwave symposium, San Francisco, USA, vol. 2; 1996. p. 1141-4.
  • 2
    • 0033148674 scopus 로고    scopus 로고
    • Characterization of contact electromechanics through capacitive-voltage measurements and simulations
    • Chan E.K., Garikipati K., and Dutton R.W. Characterization of contact electromechanics through capacitive-voltage measurements and simulations. J Microelectromech Syst 8 2 (1999) 208-217
    • (1999) J Microelectromech Syst , vol.8 , Issue.2 , pp. 208-217
    • Chan, E.K.1    Garikipati, K.2    Dutton, R.W.3
  • 4
    • 0031168990 scopus 로고    scopus 로고
    • M-test: a test chip for MEMS material property measurement using electrostatically actuated test structures
    • Osterberg P.M., and Senturia S.D. M-test: a test chip for MEMS material property measurement using electrostatically actuated test structures. J Microelectromech Syst 6 2 (1997) 107-118
    • (1997) J Microelectromech Syst , vol.6 , Issue.2 , pp. 107-118
    • Osterberg, P.M.1    Senturia, S.D.2
  • 5
    • 0342561650 scopus 로고    scopus 로고
    • Micromechanical relay with electrostatic actuation and metallic contacts
    • Gretillat M.A., Gretillat F., and de Rooij N.F. Micromechanical relay with electrostatic actuation and metallic contacts. J Micromech Microeng 9 (1999) 324-331
    • (1999) J Micromech Microeng , vol.9 , pp. 324-331
    • Gretillat, M.A.1    Gretillat, F.2    de Rooij, N.F.3
  • 6
    • 33744519012 scopus 로고    scopus 로고
    • Some design considerations on the electrostatically actuated double clamped end type MEMS switches
    • Sadeghian H., Rezazadeh G., and Sani E.A. Some design considerations on the electrostatically actuated double clamped end type MEMS switches. J Phys: Conf Ser 34 (2006) 174-179
    • (2006) J Phys: Conf Ser , vol.34 , pp. 174-179
    • Sadeghian, H.1    Rezazadeh, G.2    Sani, E.A.3
  • 7
    • 36949015590 scopus 로고    scopus 로고
    • Application of the generalized differential quadrature method to the study of pull-in phenomena of MEMS switches
    • Sadeghian H., Rezazadeh G., and Osterberg P.M. Application of the generalized differential quadrature method to the study of pull-in phenomena of MEMS switches. J Microelectromech Syst 16 6 (2007) 1334-1340
    • (2007) J Microelectromech Syst , vol.16 , Issue.6 , pp. 1334-1340
    • Sadeghian, H.1    Rezazadeh, G.2    Osterberg, P.M.3
  • 8
    • 33744519012 scopus 로고    scopus 로고
    • Some design considerations on the electrostatically actuated double clamped end type MEMS switches
    • Sadeghian H., and Rezazadeh Gh. Some design considerations on the electrostatically actuated double clamped end type MEMS switches. J Phys: Conf Ser 34 (2006) 174-179
    • (2006) J Phys: Conf Ser , vol.34 , pp. 174-179
    • Sadeghian, H.1    Rezazadeh, Gh.2
  • 9
    • 33744536975 scopus 로고    scopus 로고
    • The influence of stress gradient on the pull-in phenomena of microelectromechanical switches
    • Sadeghian H., and Rezazadeh Gh. The influence of stress gradient on the pull-in phenomena of microelectromechanical switches. J Phys: Conf Ser 34 (2006) 1117-1122
    • (2006) J Phys: Conf Ser , vol.34 , pp. 1117-1122
    • Sadeghian, H.1    Rezazadeh, Gh.2
  • 10
    • 34547839063 scopus 로고    scopus 로고
    • Pull-in voltage of double clamped end type MEMS switches with variative electrostatic area
    • Sadeghian H., Rezazadeh Gh., Malekpour E., and Shafipour A. Pull-in voltage of double clamped end type MEMS switches with variative electrostatic area. Sensors Transducers 66 4 (2006) 526-533
    • (2006) Sensors Transducers , vol.66 , Issue.4 , pp. 526-533
    • Sadeghian, H.1    Rezazadeh, Gh.2    Malekpour, E.3    Shafipour, A.4
  • 11
    • 85196143485 scopus 로고    scopus 로고
    • Rezazadeh Gh, Sadeghian H, Abbaspour E. A comprehensive model to study nonlinear behaviour of multilayered micro beam. J Microsyst Tech. doi:10.1007/s00542-007-0404-3.
    • Rezazadeh Gh, Sadeghian H, Abbaspour E. A comprehensive model to study nonlinear behaviour of multilayered micro beam. J Microsyst Tech. doi:10.1007/s00542-007-0404-3.
  • 12
    • 85196177375 scopus 로고    scopus 로고
    • Rezazadeh Gh. A comprehensive model to study nonlinear behaviour of multilayered micro beam. J Microsyst Technol. doi:10.1007/s00542-007-0398-x.
    • Rezazadeh Gh. A comprehensive model to study nonlinear behaviour of multilayered micro beam. J Microsyst Technol. doi:10.1007/s00542-007-0398-x.
  • 13
    • 0022112358 scopus 로고
    • Non-linear vibration of anisotropic rectangular plates with non-uniform edge constraints
    • Chia C.Y. Non-linear vibration of anisotropic rectangular plates with non-uniform edge constraints. J Sound Vib 101 (1985) 539-550
    • (1985) J Sound Vib , vol.101 , pp. 539-550
    • Chia, C.Y.1
  • 14
    • 3242772049 scopus 로고
    • On some developments in direct methods of the calculus of variations
    • Leipholz H.H.E. On some developments in direct methods of the calculus of variations. Appl Mech Rev 40 10 (1987) 1379-1392
    • (1987) Appl Mech Rev , vol.40 , Issue.10 , pp. 1379-1392
    • Leipholz, H.H.E.1
  • 15
    • 0030215575 scopus 로고    scopus 로고
    • Vibration analysis of membranes and plates by a discrete least squares technique
    • Zitnan P. Vibration analysis of membranes and plates by a discrete least squares technique. J Sound Vib 195 4 (1996) 595-605
    • (1996) J Sound Vib , vol.195 , Issue.4 , pp. 595-605
    • Zitnan, P.1
  • 16
    • 0031699491 scopus 로고    scopus 로고
    • Meshless methods for shear-deformable beams and plates
    • Donning B.M., and Liu W.K. Meshless methods for shear-deformable beams and plates. Comput Methods Appl Mech Eng 152 (1998) 47-71
    • (1998) Comput Methods Appl Mech Eng , vol.152 , pp. 47-71
    • Donning, B.M.1    Liu, W.K.2
  • 18
    • 0004739893 scopus 로고
    • Free vibrations and buckling of a rectangular plate with discontinuous boundary conditions
    • Nowacki W. Free vibrations and buckling of a rectangular plate with discontinuous boundary conditions. Bull Acad Pol Sci Biol 3 (1955) 159-167
    • (1955) Bull Acad Pol Sci Biol , vol.3 , pp. 159-167
    • Nowacki, W.1
  • 19
    • 85196198079 scopus 로고    scopus 로고
    • Cheung MS. Finite strip analysis of structures. Ph.D. thesis, University of Calgary; 1971.
    • Cheung MS. Finite strip analysis of structures. Ph.D. thesis, University of Calgary; 1971.
  • 20
    • 85024283381 scopus 로고
    • Eigenvalue problems of rectangular plates with mixed edge conditions
    • Keer L.M., and Stahl B. Eigenvalue problems of rectangular plates with mixed edge conditions. J Appl Mech 39 (1972) 513-520
    • (1972) J Appl Mech , vol.39 , pp. 513-520
    • Keer, L.M.1    Stahl, B.2
  • 21
    • 0000012184 scopus 로고
    • Vibration of rectangular plates with mixed boundary conditions
    • Rao G.V., Raju I.S., and Murthy T.V.G.K. Vibration of rectangular plates with mixed boundary conditions. J Sound Vib 30 (1973) 257-260
    • (1973) J Sound Vib , vol.30 , pp. 257-260
    • Rao, G.V.1    Raju, I.S.2    Murthy, T.V.G.K.3
  • 22
    • 0019875520 scopus 로고
    • Application of a series-type method to vibration of orthotropic rectangular plates with mixed boundary conditions
    • Narita Y. Application of a series-type method to vibration of orthotropic rectangular plates with mixed boundary conditions. J Sound Vib 77 3 (1981) 345-355
    • (1981) J Sound Vib , vol.77 , Issue.3 , pp. 345-355
    • Narita, Y.1
  • 23
    • 0021386374 scopus 로고
    • An exact analytical approach to the free vibration analysis of rectangular plates with mixed boundary conditions
    • Gorman D.J. An exact analytical approach to the free vibration analysis of rectangular plates with mixed boundary conditions. J Sound Vib 93 (1984) 235-247
    • (1984) J Sound Vib , vol.93 , pp. 235-247
    • Gorman, D.J.1
  • 24
    • 38249017159 scopus 로고
    • Vibration and buckling of plates with mixed boundary conditions
    • Mizusawa T., and Leonard J.W. Vibration and buckling of plates with mixed boundary conditions. Eng Struct 12 (1990) 285-290
    • (1990) Eng Struct , vol.12 , pp. 285-290
    • Mizusawa, T.1    Leonard, J.W.2
  • 25
    • 0027590435 scopus 로고
    • On the use of the substructure method for vibration analysis of rectangular plates with discontinuous boundary conditions
    • Liew K.M., Hung K.C., and Lam K.Y. On the use of the substructure method for vibration analysis of rectangular plates with discontinuous boundary conditions. J Sound Vib 163 (1993) 451-462
    • (1993) J Sound Vib , vol.163 , pp. 451-462
    • Liew, K.M.1    Hung, K.C.2    Lam, K.Y.3
  • 26
    • 0004796428 scopus 로고
    • Determination of the frequencies of the natural oscillations of rectangular plates with mixed boundary conditions
    • [in Ukrainian]
    • Piskunov V.H. Determination of the frequencies of the natural oscillations of rectangular plates with mixed boundary conditions. Prikl Mekh 10 (1964) 72-76 [in Ukrainian]
    • (1964) Prikl Mekh , vol.10 , pp. 72-76
    • Piskunov, V.H.1
  • 27
    • 0000973220 scopus 로고
    • Fundamental frequencies of simply supported but partially clamped square plates
    • Ota T., and Hamada M. Fundamental frequencies of simply supported but partially clamped square plates. Bull Jpn Soc Mech Eng 6 (1963) 397-403
    • (1963) Bull Jpn Soc Mech Eng , vol.6 , pp. 397-403
    • Ota, T.1    Hamada, M.2
  • 28
    • 0021757554 scopus 로고
    • Flexural free vibrations of rectangular plates with complex support conditions
    • Fan S.C., and Cheung Y.K. Flexural free vibrations of rectangular plates with complex support conditions. J Sound Vib 93 (1984) 81-94
    • (1984) J Sound Vib , vol.93 , pp. 81-94
    • Fan, S.C.1    Cheung, Y.K.2
  • 29
    • 0000179731 scopus 로고    scopus 로고
    • Fourier p-element for analysis of beams and plates
    • Leung A.Y.T., and Chan J.K.W. Fourier p-element for analysis of beams and plates. J Sound Vib 212 1 (1998) 179-185
    • (1998) J Sound Vib , vol.212 , Issue.1 , pp. 179-185
    • Leung, A.Y.T.1    Chan, J.K.W.2
  • 32
    • 0024933826 scopus 로고
    • Hybrid quadrilateral element based on Mindlin/Reissner plate theory
    • Cheung Y.K., and Chen W.J. Hybrid quadrilateral element based on Mindlin/Reissner plate theory. Comput Struct 32 (1989) 327-339
    • (1989) Comput Struct , vol.32 , pp. 327-339
    • Cheung, Y.K.1    Chen, W.J.2
  • 33
    • 0002800312 scopus 로고
    • Differential quadrature: a technique for the rapid solution of non-linear partial differential equations
    • Bellman R., Kashef B.G., and Casti J. Differential quadrature: a technique for the rapid solution of non-linear partial differential equations. J Comput Phys 10 (1972) 40-52
    • (1972) J Comput Phys , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 34
    • 0024014784 scopus 로고
    • Two new approximate methods for analyzing free vibration of structural components
    • Bert C.W., Jang S.K., and Striz A.G. Two new approximate methods for analyzing free vibration of structural components. Am Inst Aeronaut Astronaut J 26 (1988) 612-618
    • (1988) Am Inst Aeronaut Astronaut J , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 35
    • 0024621941 scopus 로고
    • Application of differential quadrature to static analysis of structural components
    • Jang S.K., Bert C.W., and Striz A.G. Application of differential quadrature to static analysis of structural components. Int J Numer Methods Eng 28 (1989) 561-577
    • (1989) Int J Numer Methods Eng , vol.28 , pp. 561-577
    • Jang, S.K.1    Bert, C.W.2    Striz, A.G.3
  • 36
    • 0024705632 scopus 로고
    • New insights in solving distributed system of equations by the quadrature method-I. Analysis
    • Quan J.R., and Chang C.T. New insights in solving distributed system of equations by the quadrature method-I. Analysis. Comput Chem Eng 13 (1989) 779-788
    • (1989) Comput Chem Eng , vol.13 , pp. 779-788
    • Quan, J.R.1    Chang, C.T.2
  • 37
    • 16544362662 scopus 로고    scopus 로고
    • A note on the DQ analysis of anisotropic plates
    • Chen W., and Zhong T.X. A note on the DQ analysis of anisotropic plates. J Sound Vib 204 1 (1997) 180-182
    • (1997) J Sound Vib , vol.204 , Issue.1 , pp. 180-182
    • Chen, W.1    Zhong, T.X.2
  • 38
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., and Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int J Numer Methods Fluids 15 (1992) 791-798
    • (1992) Int J Numer Methods Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 39
    • 0028457088 scopus 로고
    • Application of generalized differential quadrature method to structure problems
    • Du H., Lim M.K., and Lin R.M. Application of generalized differential quadrature method to structure problems. Int J Numer Methods Eng 37 (1994) 1881-1896
    • (1994) Int J Numer Methods Eng , vol.37 , pp. 1881-1896
    • Du, H.1    Lim, M.K.2    Lin, R.M.3
  • 40
    • 0031104540 scopus 로고    scopus 로고
    • A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
    • Shu C., and Du H. A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates. Int J Solids Struct 34 (1997) 837-846
    • (1997) Int J Solids Struct , vol.34 , pp. 837-846
    • Shu, C.1    Du, H.2
  • 41
    • 0033079341 scopus 로고    scopus 로고
    • Treatment of mixed and non-uniform boundary conditions in GDQ vibration analysis of rectangular plate
    • Shu C., and Wang C.M. Treatment of mixed and non-uniform boundary conditions in GDQ vibration analysis of rectangular plate. Eng Struct 21 (1999) 125-134
    • (1999) Eng Struct , vol.21 , pp. 125-134
    • Shu, C.1    Wang, C.M.2
  • 43
    • 0035280569 scopus 로고    scopus 로고
    • Monolithically integrated micromachined RF MEMS capacitive switches
    • Park J.Y., Kim G.H., Chung K.W., and Bu J.U. Monolithically integrated micromachined RF MEMS capacitive switches. Sensor Actuator A 89 (2001) 88-94
    • (2001) Sensor Actuator A , Issue.89 , pp. 88-94
    • Park, J.Y.1    Kim, G.H.2    Chung, K.W.3    Bu, J.U.4
  • 44
    • 0033705043 scopus 로고    scopus 로고
    • Computer-aided generation of nonlinear reduced-order dynamic macromodels I: non-stress-stiffened case
    • Gabbay L.D., Mehner J.E., and Senturia S.D. Computer-aided generation of nonlinear reduced-order dynamic macromodels I: non-stress-stiffened case. J Microeletromech Syst 9 (2000) 262-269
    • (2000) J Microeletromech Syst , vol.9 , pp. 262-269
    • Gabbay, L.D.1    Mehner, J.E.2    Senturia, S.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.