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Modeling of Flexibility Effects Using the Boundary-Element Method

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Fundamentals of Multibody Dynamics
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Abstract

The dynamic simulation of flexible multibody systems has been a real challenge to dynamists and researchers for the past two decades. Areas of interest include robotics, aircraft dynamics, vehicle dynamics and rotorcraft systems. Over the years, numerous papers have been published, tackling a broad range of theoretical problems. More precisely, the inclusion of geometric nonlinearities in the dynamics has proven to be a major contributing factor in predicting accurately the dynamics of flexible (elastic) beams and plates and optimization, which is a recurrence in variational design.

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References

  1. Kerdjoudj, M., Amirouche F., Implementation of the Boundary-Element Method in the Dynamics of Flexible Bodies, International Journal for Numerical Methods in Engineering, Vol. 39, 1996, pp. 321–354.

    Article  MATH  Google Scholar 

  2. Mukherjee, G. and Morjaria, M., On the Efficiency and Accuracy of the Boundary-Element Method and the Finite-Element Method, International Journal for Numerical Methods in Engineering, Vol. 20, 1984, pp. 515–522.

    Article  MATH  Google Scholar 

  3. Radaj, D., Mohrmann, W. and Schilberth, G., Economy and Convergence of Notch Stress Analysis Using Boundary and the Finite-Element Method, International Journal for Numerical Methods in Engineering,Vol. 20, 1984, pp. 565–572.

    Article  MATH  Google Scholar 

  4. Rencis, J. J., Urekew, T. J., Jong, K., Kirk, R. and Frederico, P., A Posteriori Error Estimation for the Finite-Element and Boundary-Element Method, Computer Structure, Vol. 37, No. 1, 1990, pp. 103–117.

    Article  MATH  Google Scholar 

  5. Banerjee, P. K., Wilson, R. B. and Miller, N., Advanced Elastic and Inelastic Three-Dimensionl Analysis of Gas Turbine Engine Structure by the BEM, International Journal for Numerical Methods in Engineering, Vol. 26, 1988, pp. 393–411.

    Article  MATH  Google Scholar 

  6. Danson, D. J., A Boundary-Element Formulation of Problems in Linear Isotropic Elasticity with Body Forces, in: Boundary-Element Methods, (Brebbia, et al., eds.), Springer-Verlag, Berlin, 1981, pp. 105–122.

    Google Scholar 

  7. Ahmad, S. and Banerjee, P. K., Inelastic Transient Dynamic Analysis of Three-Dimensional Problems by the BEM, International Journal for Numerical Methods in Engineering, Vol. 29, 1990, pp. 371–390.

    Article  MATH  Google Scholar 

  8. Nardini, D. and Brebbia, C. A., Boundary Integral Formulation of Mass Matrices for Dynamic Analysis, in: Topics in Boundary-Element Research, Vol. 2, Springer-Verlag, New York, 1985, pp. 191–208.

    Google Scholar 

  9. Nardini, D. and Brebbia, C. A., Transient Dynamic Analysis by the Boundary-Element Method, in: Boundary-Elements Computational Mechanics Publications, Southampton, and Springer-Verlag, New York, 1983, pp. 719–730.

    Google Scholar 

  10. Brebbia, C. A. and Nardini, D., Dynamic Analysis in Solid Mechanics by the Alternative Boundary-Element Procedure, International Journal of Soil Dynamics and Earthquake Engineering, Vol. 2, No. 4, 1 1983, pp. 228–233.

    Article  Google Scholar 

  11. Nardini, D. and Brebbia, C. A., A New Approach to Free Vibration Analysis Using Boundary Elements, Computational Mechanics Publications, Southampton, and Springer-Verlag, New York, 1982, pp. 313–326.

    Google Scholar 

  12. Khun, G. and Möhrmann, W., Boundary-Element Method in Elastostatics: Theory and Applications, Applied Mathematical Modelling, Vol. 7, No. 2, 1983, pp. 97–105.

    Article  Google Scholar 

  13. Mattiasson, H., J., K., K., Runesson, K. and Samuelsson, A., On the Use of the Boundary-Element Method for Elastoplastic, Large Deformation Problems, International Journal for Numerical Methods in Engineering, Vol. 25, 1988, pp. 165–176.

    Article  MATH  Google Scholar 

  14. Okada, H., Rajiyah, H. and Atluri, S., A Full Tangent Field Boundary Element for Geometric and Material Nonlinear Problems of Solid Mechanics, International Journal for Numerical Methods in Engineering, Vol. 29, 1990, pp. 15–35.

    Article  MATH  Google Scholar 

  15. Bathe, K. J., Finite-Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1982.

    Google Scholar 

  16. Benerjee, P. K. and Butterfield, R., Boundary-Element Methods in Engineering, McGraw-Hill, London, 1981.

    Google Scholar 

  17. Brebbia, C. A. and Dominguez, J. Boundary Element: An Introductory Course, Computational Mechanics Publications, Southampton and McGraw-Hill, New York, 1989.

    MATH  Google Scholar 

  18. Partridge. P. W., Brebbia, C. A. and Wrobel, L. C., The Dual Reciprocity Boundary-Element Method, Computational Mechanics Publications, Southampton, Boston, 1992.

    MATH  Google Scholar 

  19. Ali A., Rajakumar, C. and Yunus, S. M., On the Formulation of the Acoustic Boundary-Element Eigenvalue Problems, International Journal for Numerical Methods in Engineering, Vol. 31, 1991, pp. 1271–1282.

    Article  MATH  Google Scholar 

  20. Kleiber, M., Incremental Finite-Element Modeling in Nonlinear Solid Mechanics, Wiley, New York, 1989.

    Google Scholar 

  21. Washizu, K., Variation Methods in Elasticity and Plasticity, 2nd ed., Pergamon Press, 1975.

    Google Scholar 

  22. Malvern, L. E., Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, NJ, 1969.

    Google Scholar 

  23. Ahmed, S. and Banerjee, P. K., Free Vibration Analysis by BEM Using Particular Integrals, J. Engng. Mech., ASCE 112, 1986, pp. 682–695.

    Google Scholar 

  24. Beskos, D. E., Boundary-Element Methods in Mechanics: Computational Methods in Mechanics, First Series, Vol. 3, Elsevier, 1987.

    Google Scholar 

  25. Leipholz, H., H., E., On Galerkin’s Method Interpreted as a Generalized Integral Transformation, Computer Methods in Applied Mechanics and Engineering, 65, 1987, pp. 177–189.

    Article  MATH  MathSciNet  Google Scholar 

  26. Guiggiani, M. and Casalini, P., Direct Computation of Cauchy Principal Value Integrals an Advanced Boundary Elements, International Journal for Numerical Methods in Engineering, Vol. 24, 1987, pp. 1711–1720.

    Article  MATH  MathSciNet  Google Scholar 

  27. Cerrolaza, M. and Alarcon, E., A Bi-Cubic Transformation for the Numerical Evaluation for the Cauchy Principal Value Integrals in Boundary Methods, International Journal for Numerical Methods in Engineering, Vol. 29, 1990, pp. 371–390.

    Article  Google Scholar 

  28. Kane, J. H. and Saigal, S., Numerical Integration and Sparse Blocked Equation Solution Techniques for Large-Scale Boundary-Element Analysis, in Solution of Superlarge Problems in Computational Mechanics (Kane, J. H., Carlson, A. D., and Cox, D. L., eds.), Plenum Press, New York, 1989.

    Google Scholar 

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© 2006 Birkhäuser Boston

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(2006). Modeling of Flexibility Effects Using the Boundary-Element Method. In: Fundamentals of Multibody Dynamics. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4406-7_12

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  • DOI: https://doi.org/10.1007/0-8176-4406-7_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4236-5

  • Online ISBN: 978-0-8176-4406-2

  • eBook Packages: EngineeringEngineering (R0)

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