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Volumn 32, Issue 4, 2008, Pages 373-391

Dual quaternions in spatial kinematics in an algebraic sense

Author keywords

Dual quaternions; Hamilton operators; Lie algebras

Indexed keywords


EID: 55849125084     PISSN: 13000098     EISSN: 13036149     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (34)

References (10)
  • 1
    • 0023566632 scopus 로고
    • Hamilton Operators and Dual-number-quaternions in Spatial Kinematics
    • Agrawal O. P.: Hamilton Operators and Dual-number-quaternions in Spatial Kinematics, Mech. Mach Theory 22, 569-575, (1987).
    • (1987) Mech. Mach Theory , vol.22 , pp. 569-575
    • Agrawal, O.P.1
  • 3
    • 0004280275 scopus 로고
    • VEB Deutscher Verlag der Wissenschaften, Berlin
    • Blaschke W.: Kinematik und Quaternion, VEB Deutscher Verlag der Wissenschaften, Berlin, 1960.
    • (1960) Kinematik und Quaternion
    • Blaschke, W.1
  • 4
    • 0025872206 scopus 로고
    • Lie algebras, modules, dual quaternions and Algebraic methods in Kinematics
    • Chevallier D. P.: Lie algebras, modules, dual quaternions and Algebraic methods in Kinematics, Mech. Mach. Theory 26, 613-627, (1991).
    • (1991) Mech. Mach. Theory , vol.26 , pp. 613-627
    • Chevallier, D.P.1
  • 5
    • 0003755154 scopus 로고
    • Second Edition, Springer Verlag
    • Curtis M. L.: Matrix Groups, Second Edition, Springer Verlag, 1987.
    • (1987) Matrix Groups
    • Curtis, M.L.1
  • 6
    • 0028196365 scopus 로고
    • The mathematical group structure of the set of displacements
    • Herve J. M.: The mathematical group structure of the set of displacements, Mech. Mach. Theory 29, 73-81, (1994).
    • (1994) Mech. Mach. Theory , vol.29 , pp. 73-81
    • Herve, J.M.1
  • 7
    • 0021601666 scopus 로고
    • A unified representation of spatial displacements
    • Hiller M., Woernle C.: A unified representation of spatial displacements, Mech. Mach. Theory 19, 477-486, (1984).
    • (1984) Mech. Mach. Theory , vol.19 , pp. 477-486
    • Hiller, M.1    Woernle, C.2
  • 8
    • 0005373689 scopus 로고
    • A comparison of representations of general spatial screw displacement
    • Rooney J.: A comparison of representations of general spatial screw displacement, Environment and Planning B 5, 45-88, (1978).
    • (1978) Environment and Planning B , vol.5 , pp. 45-88
    • Rooney, J.1
  • 9
    • 0016891091 scopus 로고
    • On the use of dual numbers, vectors and matrices in instantaneous, Spatial Kinematics
    • Veldkamp G. R.: On the use of dual numbers, vectors and matrices in instantaneous, Spatial Kinematics, Mech. Mach. Theory 11, 141-156, (1976).
    • (1976) Mech. Mach. Theory , vol.11 , pp. 141-156
    • Veldkamp, G.R.1
  • 10
    • 85013917341 scopus 로고
    • Application of dual-number quaternion algebra to the analysis of spatial mechanisms
    • Yang A. T., Freudenstein F.: Application of dual-number quaternion algebra to the analysis of spatial mechanisms, Transactions of the ASME, 300-308, (1964).
    • (1964) Transactions of the ASME , pp. 300-308
    • Yang, A.T.1    Freudenstein, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.