Modeling and analysis of rotating solids and structures

Steen Krenk

Modeling and analysis of rotating solids and structures

Steen Krenk (Invited author)

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Abstract

It is demonstrated that the inertial terms in the dynamic equations of motion in a moving frame take a simple universal form in terms of the classic mass matrix, when the traditional Lagrangian approach with local velocities as time derivatives of position is replaced by a Hamiltonian approach, in which absolute velocities and local positions are interpolated by identical shape functions. The resulting equations take on a simple systematic form that lends itself naturally to conservative time integration and permits a simple algorithmic damping scheme in terms of local motion.

Original language	English
Title of host publication	Proceedings of the 24th Nordic Seminar on Computational Mechanics
Publication date	2011
Publication status	Published - 2011
Event	24^th Nordic Seminar on Computational Mechanics - Helsinki, Finland Duration: 3 Nov 2011 → 4 Nov 2011 Conference number: 24 http://nscm-24.aalto.fi/

Seminar

Seminar	24^th Nordic Seminar on Computational Mechanics
Number	24
Country/Territory	Finland
City	Helsinki
Period	03/11/2011 → 04/11/2011
Internet address	http://nscm-24.aalto.fi/

Keywords

Conservative integration
Structural dynamics
Time integration

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NSCM-24 Krenk

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title = "Modeling and analysis of rotating solids and structures",

abstract = "It is demonstrated that the inertial terms in the dynamic equations of motion in a moving frame take a simple universal form in terms of the classic mass matrix, when the traditional Lagrangian approach with local velocities as time derivatives of position is replaced by a Hamiltonian approach, in which absolute velocities and local positions are interpolated by identical shape functions. The resulting equations take on a simple systematic form that lends itself naturally to conservative time integration and permits a simple algorithmic damping scheme in terms of local motion.",

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author = "Steen Krenk",

year = "2011",

language = "English",

booktitle = "Proceedings of the 24th Nordic Seminar on Computational Mechanics",

note = "24<sup>th</sup> Nordic Seminar on Computational Mechanics, NSCM-24 ; Conference date: 03-11-2011 Through 04-11-2011",

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T1 - Modeling and analysis of rotating solids and structures

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N2 - It is demonstrated that the inertial terms in the dynamic equations of motion in a moving frame take a simple universal form in terms of the classic mass matrix, when the traditional Lagrangian approach with local velocities as time derivatives of position is replaced by a Hamiltonian approach, in which absolute velocities and local positions are interpolated by identical shape functions. The resulting equations take on a simple systematic form that lends itself naturally to conservative time integration and permits a simple algorithmic damping scheme in terms of local motion.

AB - It is demonstrated that the inertial terms in the dynamic equations of motion in a moving frame take a simple universal form in terms of the classic mass matrix, when the traditional Lagrangian approach with local velocities as time derivatives of position is replaced by a Hamiltonian approach, in which absolute velocities and local positions are interpolated by identical shape functions. The resulting equations take on a simple systematic form that lends itself naturally to conservative time integration and permits a simple algorithmic damping scheme in terms of local motion.

KW - Conservative integration

KW - Structural dynamics

KW - Time integration

M3 - Article in proceedings

BT - Proceedings of the 24th Nordic Seminar on Computational Mechanics

T2 - 24<sup>th</sup> Nordic Seminar on Computational Mechanics

Y2 - 3 November 2011 through 4 November 2011

ER -

Modeling and analysis of rotating solids and structures

Abstract

Seminar

Keywords

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