^{1} Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark^{2} Department of Mechanical Engineering, Technical University of Denmark

Abstract:

In momentum-based time integration methods, the internal forces appear naturally as an approximate representation of the time integral of the internal forces over the integration interval. It is highly desirable that this force integral also represents the increment of the internal energy. A simple global form of the effective internal force is presented, in which it is represented by its algebraic mean value plus a higher order term in the form of the product of the increment of the tangent stiffness matrix at the interval end-points and the corresponding displacement increment. This explicit representation is of fourth order, and leads to the exact energy increment for systems with quartic internal energy function.

ISBN:

9788292593127

Type:

Conference paper

Language:

English

Published in:

Proceedings of the 26th Nordic Seminar on Computational Mechanics, 2013

Keywords:

Time integration; Energy conservation; Non-linear dynamics

Main Research Area:

Science/technology

Publication Status:

Published

Review type:

Peer Review

Conference:

26th Nordic Seminar on Computational MechanicsNordic Seminar on Computational Mechanics, 2013

Publisher:

Center for Biomedical Computing, Simula Research Laboratory