General time-dependent analysis with the frequency-domain hybrid boundary element method

• Autorzy: Dumont N. A. , Chaves R. A. P.
• Konferencja: International Workshop on the Trefftz Method (3 ; 16-18.09. 2002 ; Exeter, England)
• Języki publikacji: EN

Abstrakty

EN

The paper presents an attempt to consolidate a formulation for the general analysis of the dynamic response of elastic systems. Based on the mode-superposition method, a set of coupled, higher-order differential equations of motion is transformed into a set of uncoupled second order differential equations, which may be integrated by means of standard procedures. The first motivation for these theoretical developments is the hybrid boundary element method, a generalization of T. H. H. Pian's previous achievements for finite elements which, requiring only boundary integrals, yields a stiffness matrix for arbitrary domain shapes and any number of degrees of freedom. The method is also an extension of a formulation introduced by J. S. Przemieniecki, for the free vibration analysis of bar and beam elements based on a power series of frequencies, that handles constrained and unconstrained structures, non-homogeneous initial conditions given as nodal values as well as prescribed domain fields (including rigid body movement), forced time-dependent displacements, and general domain forces (other than inertial forces).

Słowa kluczowe

EN

boundary element method; frequency domain

PL

metoda elementów brzegowych; dziedzina częstotliwości

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 4
• Strony: 431--451
• Opis fizyczny: Bibliogr. 20 poz., rys., tab., wykr.

Twórcy

autor

Dumont N. A.

• Civil Engineering Department Pontificia Universidade Catolica do Rio de Janeiro (Puc-Rio), 22453-900 Rio de Janeiro, Brazil

autor

Chaves R. A. P.

• Graduate student

Bibliografia

• [1] J.S. Przemieniecki. Theory of Matrix Structural Analysis. Dover Pubis., New York, 1968.
• [2] T.H.H. Pian. Element stiffness matrices for boundary compatibility and for prescribed boundary stresses. In: Proc. Conf. on Matrix Meths. in Struct. Mech., AFFDL-TR-66-80, pages 457-477, Wright Patterson Air Force Base, Ohio, 1966.
• [3] N.A . Dumont, D.R.L. Nunes, R.A.P. Chaves. Analysis of general transient problems with the hybrid boundary element method. In: Proceedings Third Joint Conference of Italian Group of Computational Mechanics and Ibero-Latin American Association of Computational Methods in Engineering, Giulianova, Italy, 2002. 10 pp in CD.
• [4] N.A. Dumont, R.A.P. Chaves. Analysis of general time-dependent problems with the hybrid boundary element method. In: BETECH 15 - 15th International Conference on Boundary Element Technology, Detroit, USA, 2003.
• [5] N.A. Dumont, R.A.P. Chaves. Simplified hybrid boundary element method applied to general time-dependent problems. In: S. Valliappan and N. Khalili , editors, Computational Mechanics - New Frontiers for the New Millenium (Proceedings of the First Asian-Pacific Congress on Computational Mechanics), Sydney, Australia, 2001. Elsevier Science Ltd.
• [6] N.A. Dumont, R. Oliveira. The exact dynamic formulation of the hybrid boundary element method. In: Proceedings XVIII CILAMCE - 18th Iberian Latin American Congress on Computational Methods in Engineering, volume I, pages 357-364, Brasilia, Brazil, 1997.
• [7] N.A. Dumont. The hybrid boundary element method. In: C.A. Brebbia, W. Wendland, and G. Kuhn, editors, Boundary Elements IX, Vall: Mathematical and Computational Aspects, Computational Mechanics Publications, pages 125-138. Springer-Verlag, Southampton, 1987.
• [8] N.A. Dumont. The hybrid boundary element method: an alliance between mechanical consistency and simplicity. Applied Mechanics Reviews, 42 (11): S54-S63, 1989.
• [9] N.A . Dumont, R. Oliveira. From frequency- dependent mass and stiffness matrices to the dynamic response of elastic systems. International Journal of Solids and Structures, 38(10-13): 1813-1830, 2001.
• [10] N.A. Dumont and A.A.O. Lopes. On the explicit evaluation of stress intensity factors in the hybrid boundary element method. Fatigue & Fracture of Engineering Materials & Structures, 26: 151-165, 2003.
• [11] N.A. Dumont, M.U. Quintana Cossio. Sensitivity analysis with the hybrid boundary element method. Building Research Journal, 49(1): 35-58, 2001.
• [12] N.A . Dumont, M. Wagner. The hybrid stress boundary element method applied to half-space problems in acoustic fluid-structure interaction. In: Proceedings XXI CILAMCE - 21st Iberian Latin American Congress on Computational Methods in Engineering, Rio de Janeiro, Brazil, 2000. 16 pp in CD.
• [13] R.A.P. Chaves. The Simplified Hybrid Boundary Element Method Applied to Time-Dependent Problems. PhD thesis (in Portuguese), PUC-Rio, Brazil, 2003.
• [14] R.A.P. Chaves. Study of the hybrid boundary element method and proposal of a simplified formulation. Master's thesis (in Portuguese), PUC-Rio, Brazil, 1999.
• [15] N.A. Dumont, R.A.P. Chaves. The simplified hybrid boundary element method. In: University of Colorado, editor, Book of Abstracts 5th U.S. National Congress on Computational Mechanics, pages 68-69, Boulder, USA, 1999.
• [16] N.A. Dumont, R.A.P. Chaves. The simplified hybrid boundary element method. In: Proceedings XX CILAMCE - 20th Iberian Latin American Congress on Computational Methods in Engineering, Sao Paulo, Brazil, 1999. 20 pp in CD.
• [17] R.A.P. Chaves, N.A. Dumont. The simplified hybrid boundary element method applied to frequency-domain problems. In: Proceedings XXI CILAMCE - 21st Iberian Latin American Congress on Computational Methods in Engineering, Rio de Janeiro, Brazil, 2000. 20 pp in CD.
• [18] N.A. Dumont. An assessment of the spectral properties of the matrix G used in the boundary element methods. Computational Mechanics, 22(1) : 32-41, 1998.
• [19] N.A. Dumont. Variationally-based, hybrid boundary element methods. In: A.A . Javadi, E.A.W. Maunder, eds., Proceedings 3rd International Conference/Euro Workshop on Trefftz Methods, page 25 pp in CD, Exeter, England, 2002.
• [20] M.L. Abell, J.P. Braselton. Differential equations with Maple V. AP Professional, New York, 1994.