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Volumn 41, Issue 4, 2008, Pages 473-491

Free and forced vibrations of a segmented bar by a Meshless Local Petrov-Galerkin (MLPG) formulation

Author keywords

Convergence analysis; Inf sup condition; Material discontinuities; MLPG method; Segmented bar

Indexed keywords

AXIAL LOADS; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; GALERKIN METHODS; LEAST SQUARES APPROXIMATIONS; STRESS ANALYSIS;

EID: 36949023617     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0049-6     Document Type: Article
Times cited : (28)

References (36)
  • 1
    • 25444482823 scopus 로고    scopus 로고
    • Vibrations of cracked beams using meshless local Petrov-Galerkin (MLPG) method
    • Andreaus U, Batra RC, Porfiri M (2005) Vibrations of cracked beams using meshless local Petrov-Galerkin (MLPG) method. CMES: Comput Model Eng Sci 9:111-132
    • (2005) CMES: Comput Model Eng Sci , vol.9 , pp. 111-132
    • Andreaus, U.1    Batra, R.C.2    Porfiri, M.3
  • 3
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput Mech 22:2117-2127
    • (1998) Comput Mech , vol.22 , pp. 2117-2127
    • Atluri, S.N.1    Zhu, T.2
  • 4
    • 0033353654 scopus 로고    scopus 로고
    • Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
    • Atluri SN, Cho JY, Kim H-G (1999) Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations. Comput Mech 24:334-347
    • (1999) Comput Mech , vol.24 , pp. 334-347
    • Atluri, S.N.1    Cho, J.Y.2    Kim, H.-G.3
  • 6
    • 0036164688 scopus 로고    scopus 로고
    • Higher order piezoelectric plate theory derived from a three-dimensional variational principle
    • 1
    • Batra RC, Vidoli S (2002) Higher order piezoelectric plate theory derived from a three-dimensional variational principle. AIAA J 40(1):91-104
    • (2002) AIAA J , vol.40 , pp. 91-104
    • Batra, R.C.1    Vidoli, S.2
  • 7
    • 0022526089 scopus 로고
    • Steady state penetration of rigid perfectly plastic targets
    • 1
    • Batra RC, Wright TW (1986) Steady state penetration of rigid perfectly plastic targets. Int J Eng Sci 24(1):41-54
    • (1986) Int J Eng Sci , vol.24 , pp. 41-54
    • Batra, R.C.1    Wright, T.W.2
  • 8
    • 10644248308 scopus 로고    scopus 로고
    • Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction
    • Batra R, Porfiri M, Spinello D (2004) Treatment of material discontinuity in two meshless local Petrov-Galerkin (MLPG) formulations of axisymmetric transient heat conduction. Int J Numer Methods Eng 61:2461-2479
    • (2004) Int J Numer Methods Eng , vol.61 , pp. 2461-2479
    • Batra, R.1    Porfiri, M.2    Spinello, D.3
  • 11
    • 0030383252 scopus 로고    scopus 로고
    • Treatment of material discontinuity in the element-free Galerkin method
    • Cordes LW, Moran B (1996) Treatment of material discontinuity in the element-free Galerkin method. Comput Methods Appl Mech Eng 139:75-89
    • (1996) Comput Methods Appl Mech Eng , vol.139 , pp. 75-89
    • Cordes, L.W.1    Moran, B.2
  • 13
    • 0035271335 scopus 로고    scopus 로고
    • A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
    • Gu YT, Liu GR (2001) A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Comput Mech 27:188-198
    • (2001) Comput Mech , vol.27 , pp. 188-198
    • Gu, Y.T.1    Liu, G.R.2
  • 15
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics. ii: Solutions to parabolic, hyperbolic and elliptic partial differential equations
    • Kansa EJ (1990) Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics. ii: Solutions to parabolic, hyperbolic and elliptic partial differential equations. Comput Math Appl 19:147-161
    • (1990) Comput Math Appl , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 16
    • 0040518647 scopus 로고    scopus 로고
    • Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method
    • Kim H-G, Atluri SN (2000) Arbitrary placement of secondary nodes, and error control, in the meshless local Petrov-Galerkin (MLPG) method. CMES: Comput Model Eng Sci 1:11-32
    • (2000) CMES: Comput Model Eng Sci , vol.1 , pp. 11-32
    • Kim, H.-G.1    Atluri, S.N.2
  • 17
    • 0032048164 scopus 로고    scopus 로고
    • EFG approximation with discontinuous derivatives
    • Krongauz Y, Belytschko T (1998) EFG approximation with discontinuous derivatives. Int J Numer Methods Eng 41:1215-1233
    • (1998) Int J Numer Methods Eng , vol.41 , pp. 1215-1233
    • Krongauz, Y.1    Belytschko, T.2
  • 18
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math Comput 37:141-158
    • (1981) Math Comput , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 20
    • 84924274968 scopus 로고
    • Reproducing kernel particle methods for structural dynamics
    • Liu WK, Jun S, Adee J, Belytschko, T (1995) Reproducing kernel particle methods for structural dynamics. Int J Numer Methods Eng 38:1655-1679
    • (1995) Int J Numer Methods Eng , vol.38 , pp. 1655-1679
    • Liu, W.K.1    Jun, S.2    Adee, J.3    Belytschko, T.4
  • 21
    • 0001765873 scopus 로고
    • A numerical approach to the testing of the fission hypothesis
    • Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. Astron J 82:1013-1024
    • (1977) Astron J , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 23
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • Melenk JM, Babuska I (1996) The partition of unity finite element method: basic theory and applications. Comput Methods Appl Mech Eng 139:289-314
    • (1996) Comput Methods Appl Mech Eng , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 25
    • 0027035536 scopus 로고
    • Generalizing the finite element method: Diffuse approximation and diffuse elements
    • Nayroles B, Touzot G, Villon P (1992) Generalizing the finite element method: diffuse approximation and diffuse elements. Comput Mech 10:307-318
    • (1992) Comput Mech , vol.10 , pp. 307-318
    • Nayroles, B.1    Touzot, G.2    Villon, P.3
  • 27
    • 0242317235 scopus 로고    scopus 로고
    • Elastostatic deformations of a thick plate by using higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods
    • Qian LF, Batra RC, Chen LM (2003a) Elastostatic deformations of a thick plate by using higher-order shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. CMES: Comput Model Eng Sci 4:161-176
    • (2003) CMES: Comput Model Eng Sci , vol.4 , pp. 161-176
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 28
    • 1442290791 scopus 로고    scopus 로고
    • Free and forced vibrations of thick rectangular plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method
    • Qian LF, Batra RC, Chen LM (2003b) Free and forced vibrations of thick rectangular plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method. CMES: Comput Model Eng Sci 4:519-534
    • (2003) CMES: Comput Model Eng Sci , vol.4 , pp. 519-534
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 29
    • 4043179119 scopus 로고    scopus 로고
    • Transient thermoelastic deformations of a thick functionally graded plate
    • Qian LF, Batra RC (2004a) Transient thermoelastic deformations of a thick functionally graded plate. J Therm Stress 27:705-740
    • (2004) J Therm Stress , vol.27 , pp. 705-740
    • Qian, L.F.1    Batra, R.C.2
  • 30
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of a thick functionally graded elastic plate by using a higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method
    • Qian LF, Batra RC, Chen LM (2004b) Static and dynamic deformations of a thick functionally graded elastic plate by using a higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin (MLPG) method. Composites B 35:685-697
    • (2004) Composites B , vol.35 , pp. 685-697
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 32
    • 0034445406 scopus 로고    scopus 로고
    • Derivation of plate and rod equations for a piezoelectric body from a three-dimensional variational principle
    • Vidoli S, Batra RC (2000) Derivation of plate and rod equations for a piezoelectric body from a three-dimensional variational principle. J Elast 59:23-50
    • (2000) J Elast , vol.59 , pp. 23-50
    • Vidoli, S.1    Batra, R.C.2
  • 33
    • 0036568554 scopus 로고    scopus 로고
    • Plane strain deformations of an elastic material compressed in a rough rectangular cavity
    • Warlock A, Ching H-K, Kapila AK, Batra RC (2002) Plane strain deformations of an elastic material compressed in a rough rectangular cavity. Int J Eng Sci 40:991-1010
    • (2002) Int J Eng Sci , vol.40 , pp. 991-1010
    • Warlock, A.1    Ching, H.-K.2    Kapila, A.K.3    Batra, R.C.4
  • 34
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree
    • Wendland H (1995) Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree. Adv Comput Math 4:389-396
    • (1995) Adv Comput Math , vol.4 , pp. 389-396
    • Wendland, H.1
  • 35
    • 5444259294 scopus 로고    scopus 로고
    • Modified smoothed particle hydrodynamics method and its application to transient problems
    • Zhang GM, Batra RC (2004) Modified smoothed particle hydrodynamics method and its application to transient problems. Comput Mech 34:137-146
    • (2004) Comput Mech , vol.34 , pp. 137-146
    • Zhang, G.M.1    Batra, R.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.