메뉴 건너뛰기




Volumn 78, Issue 1, 2011, Pages 0110201-01102016

A new mixed finite element-differential quadrature formulation for forced vibration of beams carrying moving loads

Author keywords

DQM; FEM; moving load problems; sample time points; time step schemes

Indexed keywords

DQM; FEM; MOVING LOAD; TIME POINTS; TIME STEP;

EID: 78249237157     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4002037     Document Type: Article
Times cited : (25)

References (42)
  • 1
    • 11044230975 scopus 로고
    • A special stability problem for linear multistep methods
    • Dahlquist, G., 1963, "A Special Stability Problem for Linear Multistep Methods", BIT, Nord. Tidskr. Inf.behandl., 3, pp. 27-43.
    • (1963) BIT, Nord. Tidskr. Inf.behandl. , vol.3 , pp. 27-43
    • Dahlquist, G.1
  • 2
    • 0031163848 scopus 로고    scopus 로고
    • A comprehensive unified set of single-step algorithms with controllable dissipation for dynamics part I. Formulation
    • PII S0045782596011917
    • Fan, S. C., Fung, T. C., and Sheng, G., 1997, "A Comprehensive Unified Set of Single-Step Algorithms With Controllable Dissipation for Dynamics. Part I. Formulation", Comput. Methods Appl. Mech. Eng., 145, pp. 87-98. (Pubitemid 127411464)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.145 , Issue.1-2 , pp. 87-98
    • Fan, S.C.1    Fung, T.C.2    Sheng, G.3
  • 3
    • 0031166434 scopus 로고    scopus 로고
    • A comprehensive unified set of single-step algorithms with controllable dissipation for dynamics part II. Algorithms and analysis
    • PII S0045782596011905
    • Fan, S. C., Fung, T. C., and Sheng, G., 1997, "A Comprehensive Unified Set of Single-Step Algorithms With Controllable Dissipation for Dynamics. Part II. Algorithms and Analysis", Comput. Methods Appl. Mech. Eng., 145, pp. 99-107. (Pubitemid 127411465)
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.145 , Issue.1-2 , pp. 99-107
    • Fan, S.C.1    Fung, T.C.2    Sheng, G.3
  • 4
    • 0031189493 scopus 로고    scopus 로고
    • Unconditionally stable higher-order newmark methods by sub-stepping procedure
    • Fung, T. C, 1997, "Unconditionally Stable Higher-Order Newmark Methods by Sub-Stepping Procedure", Comput. Methods Appl. Mech. Eng., 147, pp. 61-84.
    • (1997) Comput. Methods Appl. Mech. Eng. , vol.147 , pp. 61-84
    • Fung, T.C.1
  • 5
    • 0001991298 scopus 로고
    • One-step methods of hermite type for numerical integration of stiff systems
    • Nørsett, S. P., 1974, "One-Step Methods of Hermite Type for Numerical Integration of Stiff Systems", BIT, Nord. Tidskr. Inf.behandl., 14, pp. 63-77.
    • (1974) BIT, Nord. Tidskr. Inf.behandl. , vol.14 , pp. 63-77
    • Nørsett, S.P.1
  • 6
    • 0000572620 scopus 로고
    • Restricted padé approximations to the exponential function
    • Nørsett, S. P., 1978, "Restricted Padé Approximations to the Exponential Function", SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 15, pp. 1008-1029.
    • (1978) SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. , vol.15 , pp. 1008-1029
    • Nørsett, S.P.1
  • 10
    • 0035909368 scopus 로고    scopus 로고
    • Unconditionally stable collocation algorithms for second order initial value problems
    • Fung, T. C, 2001, "Unconditionally Stable Collocation Algorithms for Second Order Initial Value Problems", J. Sound Vib., 247(2), pp. 343-365.
    • (2001) J. Sound Vib. , vol.247 , Issue.2 , pp. 343-365
    • Fung, T.C.1
  • 11
    • 0031674066 scopus 로고    scopus 로고
    • Complex time-step newmark methods with controllable numerical dissipation
    • Fung, T. C, 1998, "Complex Time-Step Newmark Methods With Controllable Numerical Dissipation", Int. J. Numer. Methods Eng., 41, pp. 65-93.
    • (1998) Int. J. Numer. Methods Eng. , vol.41 , pp. 65-93
    • Fung, T.C.1
  • 12
    • 0031999770 scopus 로고    scopus 로고
    • Higher order time-step integration methods with complex time steps
    • Fung, T. C, 1998, "Higher Order Time-Step Integration Methods With Complex Time Steps", J. Sound Vib., 210, pp. 69-89.
    • (1998) J. Sound Vib. , vol.210 , pp. 69-89
    • Fung, T.C.1
  • 13
    • 0033363262 scopus 로고    scopus 로고
    • Complex time-step methods for transient analysis
    • Fung, T. C, 1999, "Complex Time-Step Methods for Transient Analysis", Int. J. Numer. Methods Eng., 46, pp. 1253-1271.
    • (1999) Int. J. Numer. Methods Eng. , vol.46 , pp. 1253-1271
    • Fung, T.C.1
  • 14
    • 0034415912 scopus 로고    scopus 로고
    • The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications
    • Tamma, K. K., Zhou, X., and Sha, D., 2000, "The Time Dimension: A Theory Towards the Evolution, Classification, Characterization and Design of Computational Algorithms for Transient/Dynamic Applications", Arch. Comput. Methods Eng., 7, pp. 67-290.
    • (2000) Arch. Comput. Methods Eng. , vol.7 , pp. 67-290
    • Tamma, K.K.1    Zhou, X.2    Sha, D.3
  • 15
    • 0035065913 scopus 로고    scopus 로고
    • A theory of development and design of generalized integration operators for computational structural dynamics
    • Tamma, K. K., Zhou, X., and Sha, D., 2001, "A Theory of Development and Design of Generalized Integration Operators for Computational Structural Dynamics", Int. J. Numer. Methods Eng., 50, pp. 1619-1664.
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , pp. 1619-1664
    • Tamma, K.K.1    Zhou, X.2    Sha, D.3
  • 16
    • 0037449579 scopus 로고    scopus 로고
    • Time discretized operators. Part 1: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics
    • DOI 10.1016/S0045-7825(02)00515-7, PII S0045782502005157
    • Tamma, K. K., Sha, D., and Zhou, X., 2003, "Time Discretized Operators. Part 1: Towards the Theoretical Design of a New Generation of a Generalized Family of Unconditionally Stable Implicit and Explicit Representations of Arbitrary Order for Computational Dynamics", Comput. Methods Appl. Mech. Eng., 192, pp. 257-290. (Pubitemid 36108686)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.3-4 , pp. 257-290
    • Tamma, K.K.1    Sha, D.2    Zhou, X.3
  • 17
    • 0037449566 scopus 로고    scopus 로고
    • Time discretized operators. Part 2: Towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computationa dynamics
    • DOI 10.1016/S0045-7825(02)00516-9, PII S0045782502005169
    • Sha, D., Zhou, X., and Tamma, K. K., 2003, "Time Discretized Operators. Part 2: Towards the Theoretical Design of a New Generation of a Generalized Family of Unconditionally Stable Implicit and Explicit Representations of Arbitrary Order for Computational Dynamics", Comput. Methods Appl. Mech. Eng., 192, pp. 291-329. (Pubitemid 36101380)
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.3-4 , pp. 291-329
    • Sha, D.1    Zhou, X.2    Tamma, K.K.3
  • 18
    • 0037404987 scopus 로고    scopus 로고
    • On the novel design of a new unified variational framework of discontinuous/continuous time operators of high order and equivalence
    • Kanapady, R., and Tamma, K. K., 2003, "On the Novel Design of a New Unified Variational Framework of Discontinuous/Continuous Time Operators of High Order and Equivalence", Finite Elem. Anal. Design, 39, pp. 727-749.
    • (2003) Finite Elem. Anal. Design , vol.39 , pp. 727-749
    • Kanapady, R.1    Tamma, K.K.2
  • 19
    • 0347058540 scopus 로고    scopus 로고
    • Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
    • Zhou, X., and Tamma, K. K., 2004, "Design, Analysis, and Synthesis of Generalized Single Step Single Solve and Optimal Algorithms for Structural Dynamics", Int. J. Numer. Methods Eng., 59, pp. 597-668.
    • (2004) Int. J. Numer. Methods Eng. , vol.59 , pp. 597-668
    • Zhou, X.1    Tamma, K.K.2
  • 20
    • 28844439845 scopus 로고    scopus 로고
    • Design spaces, measures and metrics for evaluating quality of time operators and consequences leading to improved algorithms by design-illustration to structural dynamics
    • Zhou, X., Tamma, K. K., and Sha, D., 2005, "Design Spaces, Measures and Metrics for Evaluating Quality of Time Operators and Consequences Leading to Improved Algorithms by Design-Illustration to Structural Dynamics", Int. J. Numer. Methods Eng., 64, pp. 1841-1870.
    • (2005) Int. J. Numer. Methods Eng. , vol.64 , pp. 1841-1870
    • Zhou, X.1    Tamma, K.K.2    Sha, D.3
  • 21
    • 0001581047 scopus 로고
    • Differential quadrature and long-term integration
    • Bellman, R. E., and Casti, J., 1971, "Differential Quadrature and Long-Term Integration", J. Math. Anal. Appl., 34, pp. 235-238.
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 235-238
    • Bellman, R.E.1    Casti, J.2
  • 22
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert, C. W., and Malik, M., 1996, "Differential Quadrature Method in Computational Mechanics: A Review", Appl. Mech. Rev., 49, pp. 1-28.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 1-28
    • Bert, C.W.1    Malik, M.2
  • 23
    • 0034745915 scopus 로고    scopus 로고
    • Coupling dual reciprocity BEM and differential quadrature method for time-dependent diffusion problems
    • Tanaka, M., and Chen, W., 2001, "Coupling Dual Reciprocity BEM and Differential Quadrature Method for Time-Dependent Diffusion Problems", Appl. Math. Model., 25, pp. 257-268.
    • (2001) Appl. Math. Model. , vol.25 , pp. 257-268
    • Tanaka, M.1    Chen, W.2
  • 24
    • 0035910289 scopus 로고    scopus 로고
    • Dual reciprocity BEM applied to transient elastodynamic problems with differential quadrature method in time
    • DOI 10.1016/S0045-7825(00)00237-1, PII S0045782500002371
    • Tanaka, M., and Chen, W., 2001, "Dual Reciprocity BEM Applied to Transient Elastodynamic Problems With Differential Quadrature Method in Time", Comput. Methods Appl. Mech. Eng., 190, pp. 2331-2347. (Pubitemid 32232586)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.18-19 , pp. 2331-2347
    • Tanaka, M.1    Chen, W.2
  • 25
    • 0036543231 scopus 로고    scopus 로고
    • A study on time schemes for DRBEM analysis of elastic impact wave
    • Chen, W., and Tanaka, M., 2002, "A Study on Time Schemes for DRBEM Analysis of Elastic Impact Wave", Comput. Mech., 28, pp. 331-338.
    • (2002) Comput. Mech. , vol.28 , pp. 331-338
    • Chen, W.1    Tanaka, M.2
  • 26
    • 0037127131 scopus 로고    scopus 로고
    • Stability and accuracy of differential quadrature method in solving dynamic problems
    • Fung, T. C, 2002, "Stability and Accuracy of Differential Quadrature Method in Solving Dynamic Problems", Comput. Methods Appl. Mech. Eng., 191, pp. 1311-1331.
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 1311-1331
    • Fung, T.C.1
  • 27
    • 0027576566 scopus 로고
    • New approach in applying differential quadrature to static and free vibrational analysis of beams and plates
    • DOI 10.1006/jsvi.1993.1143
    • Wang, X., and Bert, C. W., 1993, "A New Approach in Applying Differential Quadrature to Static and Free Vibration of Beams and Plates", J. Sound Vib., 162, pp. 566-572. (Pubitemid 23680327)
    • (1993) Journal of Sound and Vibration , vol.162 , Issue.3 , pp. 566-572
    • Wang, X.1    Bert, C.W.2
  • 28
    • 0030130118 scopus 로고    scopus 로고
    • Implementing multiple boundary conditions in the DQ solution of higher-order PDE's: Application to free vibration of plates
    • Malik, M., and Bert, C. W., 1996, "Implementing Multiple Boundary Conditions in the DQ Solution of Higher-Order PDE's: Application to Free Vibration of Plates", Int. J. Numer. Methods Eng., 39, pp. 1237-1258.
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 1237-1258
    • Malik, M.1    Bert, C.W.2
  • 30
    • 85196547108 scopus 로고    scopus 로고
    • Dynamic analysis of multi-span laminated composite coated beams carrying multiple accelerating oscillators
    • Eftekhari, S. A., and Farid, M., 2006, "Dynamic Analysis of Multi-Span Laminated Composite Coated Beams Carrying Multiple Accelerating Oscillators", ASME Paper No. IMECE2006-13872.
    • (2006) ASME Paper No. IMECE2006-13872
    • Eftekhari, S.A.1    Farid, M.2
  • 31
    • 77952429362 scopus 로고    scopus 로고
    • Dynamic analysis of laminated composite coated beams carrying multiple accelerating oscillators using a coupled finite element-differential quadrature method
    • Eftekhari, S. A., Farid, M., and Khani, M., 2009, "Dynamic Analysis of Laminated Composite Coated Beams Carrying Multiple Accelerating Oscillators Using a Coupled Finite Element-Differential Quadrature Method", ASME J. Appl. Mech., 76, pp. 061001.
    • (2009) ASME J. Appl. Mech. , vol.76 , pp. 061001
    • Eftekhari, S.A.1    Farid, M.2    Khani, M.3
  • 32
    • 33845302942 scopus 로고    scopus 로고
    • Least-squares differential quadrature time integration scheme in the dual reciprocity boundary element method solution of diffusive-convective problems
    • Bozkaya, C, 2007, "Least-Squares Differential Quadrature Time Integration Scheme in the Dual Reciprocity Boundary Element Method Solution of Diffusive-Convective Problems", Eng. Anal. Boundary Elem., 31, pp. 83-93.
    • (2007) Eng. Anal. Boundary Elem. , vol.31 , pp. 83-93
    • Bozkaya, C.1
  • 35
    • 0037053162 scopus 로고    scopus 로고
    • The nørsett time integration methodology for finite element transient analysis
    • Mancuso, M., and Ubertini, F., 2002, "The Nørsett Time Integration Methodology for Finite Element Transient Analysis", Comput. Methods Appl. Mech. Eng., 191, pp. 3297-3327.
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 3297-3327
    • Mancuso, M.1    Ubertini, F.2
  • 36
    • 0024014784 scopus 로고
    • Two new approximate methods for analysing free vibration of structural components
    • Bert, C. W., Jang, S. K., and Striz, A. G., 1988, "Two New Approximate Methods for Analysing Free Vibration of Structural Components", AIAA J., 26, pp. 612-618.
    • (1988) AIAA J. , vol.26 , pp. 612-618
    • Bert, C.W.1    Jang, S.K.2    Striz, A.G.3
  • 37
    • 0024621941 scopus 로고
    • Application of differential quadrature to static analysis of structural components
    • Jang, S. K., Bert, C. W., and Striz, A. G., 1989, "Application of Differential Quadrature to Static Analysis of Structural Components", Int. J. Numer. Methods Eng., 28, pp. 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
  • 40
    • 0029778012 scopus 로고    scopus 로고
    • Discretization considerations in moving load finite element beam models
    • Rieker, J. R., Lin, Y.-H., and Trethewey, M. W., 1996, "Discretization Considerations in Moving Load Finite Element Beam Models", Finite Elem. Anal. Design, 21, pp. 129-144.
    • (1996) Finite Elem. Anal. Design , vol.21 , pp. 129-144
    • Rieker, J.R.1    Lin, Y.-H.2    Trethewey, M.W.3
  • 41
    • 0025249445 scopus 로고
    • Finite element analysis of elastic beams subjected to moving dynamic loads
    • Lin, Y. H., and Tretheway, M. W., 1990, "Finite Element Analysis of Elastic Beams Subjected to Moving Dynamic Loads", J. Sound Vib., 136(2), pp. 323-342.
    • (1990) J. Sound Vib. , vol.136 , Issue.2 , pp. 323-342
    • Lin, Y.H.1    Tretheway, M.W.2
  • 42
    • 0035282099 scopus 로고    scopus 로고
    • Response of elastic continuum carrying multiple moving oscillators
    • Pesterev, A. V., Yang, B. L., Bergman, A., and Tan, C. A., 2001, "Response of Elastic Continuum Carrying Multiple Moving Oscillators", J. Eng. Mech., 127(3), pp. 260-265.
    • (2001) J. Eng. Mech. , vol.127 , Issue.3 , pp. 260-265
    • Pesterev, A.V.1    Yang, B.L.2    Bergman, A.3    Tan, C.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.