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Volumn 19, Issue 2, 2012, Pages 135-171

Simulation of in-plane vibrations of 2D structural solids with singularities using an efficient wave based prediction technique

Author keywords

Corner functions; Indirect Trefftz method; Plate membrane; Stress singularities; Structural dynamics; Wave based method

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS; NUMERICAL METHODS; STRUCTURAL DYNAMICS; VIBRATION ANALYSIS;

EID: 84879851797     PISSN: 22993649     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (40)
  • 6
    • 33947221440 scopus 로고    scopus 로고
    • A multiscale "trefftz" computational method for medium-frequency vibrations of assemblies of heterogeneous plates with uncertainties
    • L. Blanc, C. Blanzé, P. Rouch. A multiscale "Trefftz" computational method for medium-frequency vibrations of assemblies of heterogeneous plates with uncertainties. Computers & Structures, 85: 595-605, 2007.
    • (2007) Computers & Structures , vol.85 , pp. 595-605
    • Blanc, L.1    Blanzé, C.2    Rouch, P.3
  • 7
    • 0014840458 scopus 로고
    • On the problem of edge-bonded elastic quarter-planes loaded at the boundary
    • D.B. Bogy. On the problem of edge-bonded elastic quarter-planes loaded at the boundary. International Journal of Solids and Structures, 6: 1287-1313, 1970.
    • (1970) International Journal of Solids and Structures , vol.6 , pp. 1287-1313
    • Bogy, D.B.1
  • 8
    • 79955593895 scopus 로고    scopus 로고
    • Efficient treatment of stress singularities in poroelastic Wave Based models using special purpose enrichment functions
    • E. Deckers, D. Vandepitte, W. Desmet. Efficient treatment of stress singularities in poroelastic Wave Based models using special purpose enrichment functions. Computers & Structures, 89: 1117-1130, 2011.
    • (2011) Computers & Structures , vol.89 , pp. 1117-1130
    • Deckers, E.1    Vandepitte, D.2    Desmet, W.3
  • 10
    • 33747866161 scopus 로고
    • The wedge subjected to tractions: A paradox resolved
    • J.P. Dempsey. The wedge subjected to tractions: A paradox resolved. Journal of Elasticity, 11: 1-10, 1981.
    • (1981) Journal of Elasticity , vol.11 , pp. 1-10
    • Dempsey, J.P.1
  • 11
    • 0029196255 scopus 로고
    • Power-logarithmic stress singularities at bi-material corners and interface cracks
    • J.P. Dempsey. Power-logarithmic stress singularities at bi-material corners and interface cracks. Journal of Adhesion Science and Technology, 9: 253-265, 1995.
    • (1995) Journal of Adhesion Science and Technology , vol.9 , pp. 253-265
    • Dempsey, J.P.1
  • 12
    • 0003519214 scopus 로고    scopus 로고
    • Ph.D. Dissertation, Katholieke Universiteit Leuven, Departement Werktuigkunde, Leuven
    • W. Desmet. A Wave based prediction technique for coupled vibro-acoustic analysis. Ph.D. Dissertation, Katholieke Universiteit Leuven, Departement Werktuigkunde, Leuven, 1998 (http://www.mech.kuleuven.be/mod/wbm/phd- dissertations).
    • (1998) A Wave Based Prediction Technique for Coupled Vibro-acoustic Analysis
    • Desmet, W.1
  • 13
  • 14
    • 33646495762 scopus 로고    scopus 로고
    • Exact solutions for the free in-plane vibration of rectangular plates with two opposite edges simply-supported
    • D.J. Gorman. Exact solutions for the free in-plane vibration of rectangular plates with two opposite edges simply-supported. Journal of Sound and Vibration, 294: 131-161, 2006.
    • (2006) Journal of Sound and Vibration , vol.294 , pp. 131-161
    • Gorman, D.J.1
  • 17
    • 34250442580 scopus 로고
    • Uniqueness for plane crack problems in linear elastostatics
    • J.K. Knowles, T.A. Pucik. Uniqueness for plane crack problems in linear elastostatics. Journal of Elasticity, 3: 155-160, 1973.
    • (1973) Journal of Elasticity , vol.3 , pp. 155-160
    • Knowles, J.K.1    Pucik, T.A.2
  • 18
    • 0001445510 scopus 로고    scopus 로고
    • A new computational approach for structure vibrations in the medium frequency range
    • P. Ladevèze. A new computational approach for structure vibrations in the medium frequency range. Compte rendu de l'académie des sciences de Paris, Série IIb, 332: 849-946, 1996.
    • (1996) Compte Rendu de l'Académie des Sciences de Paris, s'Erie IIb , vol.332 , pp. 849-946
    • Ladevèze, P.1
  • 19
    • 0027555465 scopus 로고
    • Vibrations of Sectorial Plates having Corner Stress Singularities
    • A. Leissa, O.G. McGee, C.S. Huang. Vibrations of Sectorial Plates having Corner Stress Singularities. Journal of Applied Mechanics, 60: 134-140, 1993.
    • (1993) Journal of Applied Mechanics , vol.60 , pp. 134-140
    • Leissa, A.1    McGee, O.G.2    Huang, C.S.3
  • 20
    • 0035970637 scopus 로고    scopus 로고
    • Singularity considerations in membrane, plate and shell behaviors
    • A.W. Leissa. Singularity considerations in membrane, plate and shell behaviors. International Journal of Solids and Structures, 38: 3341-3353, 2001.
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 3341-3353
    • Leissa, A.W.1
  • 25
    • 0002626123 scopus 로고
    • A fortran subroutine for solving systems of nonlinear algebraic equations
    • P. Rabinowitz Ed. Ch.- 7.
    • M.J.D. Powell. A Fortran Subroutine for Solving Systems of Nonlinear Algebraic Equations. In: P. Rabinowitz ed., Numerical Methods for Nonlinear Algebraic Equations, Ch.-7. 1970.
    • (1970) Numerical Methods for Nonlinear Algebraic Equations
    • Powell, M.J.D.1
  • 26
    • 2842603215 scopus 로고
    • An evaluation of skew sensitivity of thirty three plate bending elements in nineteen FEM systems
    • J. Robinson. An evaluation of skew sensitivity of thirty three plate bending elements in nineteen FEM systems. Finite Element News - special report (1985).
    • (1985) Finite Element News - Special Report
    • Robinson, J.1
  • 27
    • 0030284771 scopus 로고    scopus 로고
    • Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions
    • A. Seweryn, K. Molski. Elastic stress singularities and corresponding generalized stress intensity factors for angular corners under various boundary conditions. Engineering Fracture Mechanics, 55: 529-556, 1996.
    • (1996) Engineering Fracture Mechanics , vol.55 , pp. 529-556
    • Seweryn, A.1    Molski, K.2
  • 28
    • 19944411851 scopus 로고    scopus 로고
    • Stress singularities in classical elasticity - I: Removal, interpretation and analysis
    • G.B. Sinclair. Stress singularities in classical elasticity - I: Removal, interpretation and analysis. Applied Mechanics Reviews, 57: 251-297, 2004.
    • (2004) Applied Mechanics Reviews , vol.57 , pp. 251-297
    • Sinclair, G.B.1
  • 29
    • 19944417291 scopus 로고    scopus 로고
    • Stress singularities in classical elasticity - II: Asymtotic identification
    • G.B. Sinclair. Stress singularities in classical elasticity - II: Asymtotic identification. Applied Mechanics Reviews, 57: 385-439, 2004.
    • (2004) Applied Mechanics Reviews , vol.57 , pp. 385-439
    • Sinclair, G.B.1
  • 30
    • 0033148922 scopus 로고    scopus 로고
    • Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates in extension
    • G.B. Sinclair. Logarithmic stress singularities resulting from various boundary conditions in angular corners of plates in extension. ASME Journal of Applied Mechanics, 66: 556-560, 1999.
    • (1999) ASME Journal of Applied Mechanics , vol.66 , pp. 556-560
    • Sinclair, G.B.1
  • 31
    • 0015601115 scopus 로고
    • On the convergence of the finite element method for problems with singularity
    • P. Tong, T.H.H. Pian. On the convergence of the finite element method for problems with singularity. International Journal of Solids and Structures, 9: 313-321, 1972.
    • (1972) International Journal of Solids and Structures , vol.9 , pp. 313-321
    • Tong, P.1    Pian, T.H.H.2
  • 33
    • 15544379548 scopus 로고    scopus 로고
    • Hybrid finite element - Wave based method for steady-state interior structural-acoustic problems
    • B. Van Hal, W. Desmet, D. Vandepitte. Hybrid finite element - wave based method for steady-state interior structural-acoustic problems. Computers & Structures, 83: 167-180, 2005.
    • (2005) Computers & Structures , vol.83 , pp. 167-180
    • Van Hal, B.1    Desmet, W.2    Vandepitte, D.3
  • 35
    • 65449155971 scopus 로고    scopus 로고
    • An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities
    • C. Vanmaele, D. Vandepitte,W. Desmet. An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities. Computer Methods in Applied Mechanics and Engineering, 198: 2227- 2245, 2009.
    • (2009) Computer Methods in Applied Mechanics and Engineering , vol.198 , pp. 2227-2245
    • Vanmaele, C.1    Vandepitte, D.2    Desmet, W.3
  • 37
    • 78650680066 scopus 로고    scopus 로고
    • A direct hybrid finite element - Wave based modelling technique for efficient coupled vibro-acoustic analysis
    • B. Van Genechten, D. Vandepitte, W. Desmet. A direct hybrid finite element - wave based modelling technique for efficient coupled vibro-acoustic analysis. Computer Methods in Applied Mechanics and Engineering, 200: 742-746, 2011.
    • (2011) Computer Methods in Applied Mechanics and Engineering , vol.200 , pp. 742-746
    • Van Genechten, B.1    Vandepitte, D.2    Desmet, W.3
  • 38
    • 79955633343 scopus 로고    scopus 로고
    • On the analysis of vibro-acoustic systems in the mid-frequency range using a hybrid deterministic-statistical approach
    • K. Vergote, B. Van Genechten, D. Vandepitte, W. Desmet. On the analysis of vibro-acoustic systems in the mid-frequency range using a hybrid deterministic-statistical approach. Computers & Structures, 89: 868-877, 2011.
    • (2011) Computers & Structures , vol.89 , pp. 868-877
    • Vergote, K.1    Van Genechten, B.2    Vandepitte, D.3    Desmet, W.4
  • 39
    • 85124701057 scopus 로고
    • Stress Singularities Resulting from various Boundary Conditions in Angular Corners of Plates in Extension
    • M.L. Williams. Stress Singularities Resulting from various Boundary Conditions in Angular Corners of Plates in Extension. Journal of Applied Mechanics, 74: 526-528, 1952.
    • (1952) Journal of Applied Mechanics , vol.74 , pp. 526-528
    • Williams, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.