A novel momentum-preserving energy-decaing algorithm for finite-element multibody procedures

• Autorzy: Borri M. , Botasso C. , Trainelli L.
• Konferencja: NATO Advanced Research Workshop on the Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion [July 2-7, 2000 ; Pułtusk ; Polska]
• Języki publikacji: EN

Abstrakty

EN

We present a new methodology for the integration of general non-linear multibody systems within a finite-element framework, with special attention to numerical robustness. The outcome is a non-linearly unconditionally stable algorithm with dissipation properties. This algorithm exactly preserves the total linear and angular momenta of holonomically constrained multibody systems, which implies the satisfaction of Newton's Third law of Action and Reaction. Furthermore, the scheme strictly dissipates the total mechanical energy of the system. This is accomplished by selective damping of the unresolved high-frequency components of the response. We derive the governing equations relying on the 6-D compact representation of motion and we employ a parameterization based on the Cayley transform which ensures geometric invariance of the resulting numerical schemes. We present some numerical tests in order to illustrate the main features of the methodology, and to demonstrate the properties predicted in the analysis.

Słowa kluczowe

EN

finite element method; energy-decaying; holonomic sytem; nonlinear system

PL

metoda elementów skończonych; energia zanikająca; układ holonomiczny; układ nieliniowy

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2002
• Tom: Vol. 9, No. 3
• Strony: 315--340
• Opis fizyczny: Bibliogr. 40 poz., tab. wykr.

Twórcy

autor

Borri M.

• Politecnico di Milano, Dipartimento di Ingegneria Aerospaziale, Via La Marsa 34, 20158 Milano, Italy

autor

Botasso C.

• Politecnico di Milano, Dipartimento di Ingegneria Aerospaziale, Via La Marsa 34, 20158 Milano, Italy

autor

Trainelli L.

• Politecnico di Milano, Dipartimento di Ingegneria Aerospaziale, Via La Marsa 34, 20158 Milano, Italy

Bibliografia

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