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Original Articles

A nurbs finite element method for product shape design

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Pages 157-171 | Published online: 22 Jan 2007

References

  • Catalano , C. E. and Giannini , F. 2004 . An alternative approach for integrated free-form modeling, in . Proceedings of the TMCE , vol. 1 : 155 – 164 .
  • Fan , S. C. and Sheng , N. 2004 . Meshless formulation using NURBS basis functions for eigenfrequency changes of beam having multiple open-cracks . J. Sound Vibration , 269 : 781 – 793 .
  • Fujii , F. 1981 . Discrete and non-discrete mixed methods for plate bending analysis . Int. J. Numerical Method Eng. , 17 : 1843 – 1859 .
  • Fujii , F. and Hoshino , T. 1983 . Discrete and non-discrete mixed methods applied to eigenvalue problems of plates . J. Sound Vibration , 87 : 525 – 534 .
  • Hughes , T. J.R. , Cottrell , J. A. and Bazilevs , Y. “ ‘Consider a spherical cow’—conservation of geometry in analysis: implications for computational methods in engineering ” . Available online at: www.ima.umn.edu/talks/workshops/5-11-15.2004/hughes/hughes.pdf (accessed 8 October 2004)
  • Luah , M. H. and Fan , S. C. 1989 . General free vibration analysis of shells of revolution using the spline finite element method . Computers Structures , 33 : 1153 – 1162 .
  • Miura , A. and Mochizuki , K. 2001 . Non-unifomn Rational B-spline , Tokyo : Kogyo Chosakai Publishing . (in Japanese)
  • Mizusawa , T. , Kajita , T. and Naruoka , M. 1979a . Vibration of skew plates by using B-spline functions . J. Sound Vibration , 62 : 301 – 308 .
  • Mizusawa , T. , Kajita , T. and Naruoka , M. 1979b . Vibration of stiffened skew plates by using B-spline functions . Computers Structures , 10 : 821 – 826 .
  • Rogers , D. F. 2000 . An Introduction to NURBS: With Historical Perspective , San Francisco : Morgan Kaufmann Publishers .
  • Scordelis , A. C. and Lo , K. S. 1964 . Computer analysis of cylindrical shells . J. Am. Concrete Ins. , 6 : 539 – 561 .
  • Shen , P.-C. , Huang , D. and Wang , Z. 1987 . Static, vibration and stability analysis of stiffened plates using B-spline functions. Computers Structures , 27 : 73 – 78 .
  • Timoshenko , S. P. and Woinowsky-Krieger , S. 1959 . Theory of Plates and Shells, 2nd edition , New York : McGraw-Hill Book Company .
  • Tobe , T. , Kato , M. and Inoue , K. 1978 . Bending of stub cantilever plate and some applications to strength of gear teeth . Trans. ASME J. Mech. Design , 100 : 374 – 381 .
  • Woinowsky-Krieger , S. 1933 . Der Spannungszustand in dicken elastischen Platten . Ingenieur-Archiv , 4 : 203 – 226 . 305–331
  • Yamakawa , H. and Takahashi , K. 1989 . “ Research on a spline finite element method and shape optimization ” . In Proceedings of the JSME 63 – 66 . (in Japanese)
  • Yang , H. T.Y. , Saigal , S. , Masud , A. and Kapania , P. K. 2000 . A survey of recent shell finite elements . Int. J. Numerical Methods Eng. , 47 : 101 – 127 .
  • Zienkiewicz , O. C. 2000 . Achievements and some unsolved problems of the finite element method . Int. J. Numerical Method Eng. , 47 : 9 – 28 .
  • Zienkiewicz , O. C. and Cheung , Y. K. 1967 . The Finite Element Method in Structural and Continuum Mechanics , New York : McGraw-Hill Book Company .

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