메뉴 건너뛰기




Volumn 40, Issue 11, 1997, Pages 2019-2035

A perturbation method for reduction of eigenvalue analysis of structures with large stiffnesses and small masses

Author keywords

Eigenvalue; Large stiffness; Perturbation; Reduction; Small mass

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; STIFFNESS;

EID: 0031165118     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970615)40:11<2019::AID-NME155>3.0.CO;2-Z     Document Type: Article
Times cited : (5)

References (18)
  • 3
    • 0017217018 scopus 로고
    • The truncated Lanczos algorithm for partial solution of the symmetric eigenproblem
    • P. C. Chowdhury, The truncated Lanczos algorithm for partial solution of the symmetric eigenproblem', Comput. Struct., 6, 439-446 (1976).
    • (1976) Comput. Struct. , vol.6 , pp. 439-446
    • Chowdhury, P.C.1
  • 4
    • 85007709933 scopus 로고
    • Reduction of stiffness and mass matrices
    • R. J. Guyan, 'Reduction of stiffness and mass matrices', AIAA J., 3, 380 (1965).
    • (1965) AIAA J. , vol.3 , pp. 380
    • Guyan, R.J.1
  • 5
    • 84985303931 scopus 로고
    • Structural eigenvalue problem: Elimination of unwanted variables
    • B. M. Irons, 'Structural eigenvalue problem: elimination of unwanted variables', AIAA J., 3, 961-962 (1965).
    • (1965) AIAA J. , vol.3 , pp. 961-962
    • Irons, B.M.1
  • 6
    • 0016494526 scopus 로고
    • Automatic masters for eigenvalue economization
    • R. D. Henshell and J. H. Ong, 'Automatic masters for eigenvalue economization', EEStDy, 3, 375-383 (1975).
    • (1975) EEStDy , vol.3 , pp. 375-383
    • Henshell, R.D.1    Ong, J.H.2
  • 7
    • 85003286546 scopus 로고
    • Reduction of structural frequency equations
    • R. L. Kidder, 'Reduction of structural frequency equations', AIAA J., 11, 892 (1973).
    • (1973) AIAA J. , vol.11 , pp. 892
    • Kidder, R.L.1
  • 8
    • 0000165810 scopus 로고
    • Dynamic reduction of structural models
    • Charles A. Miller, 'Dynamic reduction of structural models', J. struct, div. ASCE, 106, 2097-2108 (1980).
    • (1980) J. Struct, Div. ASCE , vol.106 , pp. 2097-2108
    • Miller, C.A.1
  • 10
    • 0003448982 scopus 로고
    • Methods of component mode synthesis
    • R. R. Craig, Jr., 'Methods of component mode synthesis', Shock Vib. Digest, 9, 3-10 (1977).
    • (1977) Shock Vib. Digest , vol.9 , pp. 3-10
    • Craig Jr., R.R.1
  • 11
    • 85007707329 scopus 로고
    • Dynamic analysis of structural systems using component modes
    • W. C. Hurty, 'Dynamic analysis of structural systems using component modes', AIAA J., 3, 678-685 (1965).
    • (1965) AIAA J. , vol.3 , pp. 678-685
    • Hurty, W.C.1
  • 12
    • 84978238358 scopus 로고
    • Quantisierung als eigenwertproblem
    • E. Schrödinger, 'Quantisierung als eigenwertproblem', Ann. Phys., 80, 437-490 (1926).
    • (1926) Ann. Phys. , vol.80 , pp. 437-490
    • Schrödinger, E.1
  • 14
    • 84995176274 scopus 로고
    • Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states
    • J. O. Hirschfelder, 'Formal Rayleigh-Schrödinger perturbation theory for both degenerate and non-degenerate energy states', Int. J. Quantum Chem., 3, 731-748 (1969).
    • (1969) Int. J. Quantum Chem. , vol.3 , pp. 731-748
    • Hirschfelder, J.O.1
  • 15
    • 0017521789 scopus 로고
    • Matrix perturbation for structural dynamics
    • J. C. Chen and B. K. Wada, 'Matrix perturbation for structural dynamics', AIAA J., 15, 1095-1100 (1977).
    • (1977) AIAA J. , vol.15 , pp. 1095-1100
    • Chen, J.C.1    Wada, B.K.2
  • 16
    • 3342915599 scopus 로고
    • The development of J. C. Chen's matrix perturbation method
    • D. W. Zhang and L. S. Wang, 'The development of J. C. Chen's matrix perturbation method', J. Astron., 4, 63-68 (1983).
    • (1983) J. Astron. , vol.4 , pp. 63-68
    • Zhang, D.W.1    Wang, L.S.2
  • 17
    • 0027664567 scopus 로고
    • Substructure analysis of complex structure with weak connectors using matrix perturbation
    • Su-huan Chen and Zhong-Sheng Liu, 'Substructure analysis of complex structure with weak connectors using matrix perturbation', JSME Int. J. Ser. C: Dyn. Control, Robotics Manufacture, 36, 307-311 (1993).
    • (1993) JSME Int. J. Ser. C: Dyn. Control, Robotics Manufacture , vol.36 , pp. 307-311
    • Chen, S.-H.1    Liu, Z.-S.2
  • 18
    • 0027789279 scopus 로고
    • Improved time-history analysis for structural dynamics. II: Reduction of effective number of degrees of freedom
    • A. R. Robinson and C.-C. Chen, 'Improved time-history analysis for structural dynamics. II: reduction of effective number of degrees of freedom', J. Eng. Mech. ASCE, 119, 2514-2530 (1993).
    • (1993) J. Eng. Mech. ASCE , vol.119 , pp. 2514-2530
    • Robinson, A.R.1    Chen, C.-C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.