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Volumn 4, Issue 4, 2009, Pages 1-10

A high precision direct integration scheme for nonlinear dynamic systems

Author keywords

Algorithms; Nonlinear dynamics; Numerical precision; Time integration

Indexed keywords

COMPUTATIONAL EFFORT; DYNAMIC SYSTEMS; FORCING FUNCTION; FOURTH-ORDER; HIGH PRECISION; HIGH PRECISION DIRECT INTEGRATION; INTEGRATION SCHEME; MINIMUM TIME; NON-LINEAR DYNAMIC SYSTEMS; NON-LINEAR DYNAMICS; NON-LINEARITY; NUMERICAL EFFICIENCY; NUMERICAL EXAMPLE; NUMERICAL PRECISION; RUNGE-KUTTA; TIME INTEGRATION; TIME STEP; TRANSIENT DYNAMICS;

EID: 77955236600     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.3192129     Document Type: Article
Times cited : (18)

References (11)
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    • Some Remarks on the Numerical Time Integration of Non-Linear Dynamical Systems
    • Bornemann, P. B., Galvanetto, U., and Crisfield, M. A., 2002, "Some Remarks on the Numerical Time Integration of Non-Linear Dynamical Systems," J. Sound Vib., 252, pp. 935-944.
    • (2002) J. Sound Vib. , vol.252 , pp. 935-944
    • Bornemann, P.B.1    Galvanetto, U.2    Crisfield, M.A.3
  • 6
    • 0028428937 scopus 로고
    • How to Render Second Order Accurate Time-Stepping Algorithms Fourth Order Accurate While Retaining the Stability and Conservation Properties
    • Tarnow, N., and Simon, J. C., 1994, "How to Render Second Order Accurate Time-Stepping Algorithms Fourth Order Accurate While Retaining the Stability and Conservation Properties," Comput. Methods Appl. Mech. Eng., 115, pp. 233-252.
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.115 , pp. 233-252
    • Tarnow, N.1    Simon, J.C.2
  • 7
    • 22744452170 scopus 로고    scopus 로고
    • Conservation Properties of a Time FE Method. Part IV: Higher Order Energy and Momentum Conservation Schemes
    • Groß, M., Betsch, P., and Steinmann, P., 2005, "Conservation Properties of a Time FE Method. Part IV: Higher Order Energy and Momentum Conservation Schemes," Int. J. Numer. Methods Eng., 63, pp. 1849-1897.
    • (2005) Int. J. Numer. Methods Eng. , vol.63 , pp. 1849-1897
    • Groß, M.1    Betsch, P.2    Steinmann, P.3
  • 9
    • 33847758631 scopus 로고    scopus 로고
    • Conserving Energy and Momentum in Nonlinear Dynamics: A Simple Implicit Time Integration Scheme
    • Bathe, K. J., 2007, "Conserving Energy and Momentum in Nonlinear Dynamics: A Simple Implicit Time Integration Scheme," Comput. Struct., 85, pp. 437-445.
    • (2007) Comput. Struct. , vol.85 , pp. 437-445
    • Bathe, K.J.1
  • 11
    • 0030123133 scopus 로고    scopus 로고
    • An Assessment of Time Integration Schemes for Non-Linear Dynamic Equations
    • Xie, Y. M., 1996, "An Assessment of Time Integration Schemes for Non-Linear Dynamic Equations," J. Sound Vib., 192, pp. 321-331.
    • (1996) J. Sound Vib. , vol.192 , pp. 321-331
    • Xie, Y.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.